TY - INPR A1 - Makhmudov, K. O. A1 - Makhmudov, O. I. A1 - Tarkhanov, Nikolai Nikolaevich T1 - A nonstandard Cauchy problem for the heat equation N2 - We consider a Cauchy problem for the heat equation in a cylinder X x (0,T) over a domain X in the n-dimensional space with data on a strip lying on the lateral surface. The strip is of the form S x (0,T), where S is an open subset of the boundary of X. The problem is ill-posed. Under natural restrictions on the configuration of S we derive an explicit formula for solutions of this problem. T3 - Preprints des Instituts für Mathematik der Universität Potsdam - 4 (2015)11 KW - heat equation KW - Cauchy problem KW - Carleman formulas Y1 - 2015 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-83830 SN - 2193-6943 VL - 4 IS - 11 PB - Universitätsverlag Potsdam CY - Potsdam ER - TY - INPR A1 - Maergoiz, L. A1 - Tarkhanov, Nikolai Nikolaevich T1 - Optimal recovery from a finite set in Banach spaces of entire functions N2 - We develop an approach to the problem of optimal recovery of continuous linear functionals in Banach spaces through information on a finite number of given functionals. The results obtained are applied to the problem of the best analytic continuation from a finite set in the complex space Cn, n ≥ 1, for classes of entire functions of exponential type which belong to the space Lp, 1 < p < 1, on the real subspace of Cn. These latter are known as Wiener classes. T3 - Preprint - (2006) 19 Y1 - 2006 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-30199 ER - TY - INPR A1 - Maaß, Peter A1 - Rieder, Andreas T1 - Wavelet-accelerated Tikhonov-Phillips regularization with applications N2 - Contents: 1 Introduction 1.1 Tikhanov-Phillips Regularization of Ill-Posed Problems 1.2 A Compact Course to Wavelets 2 A Multilevel Iteration for Tikhonov-Phillips Regularization 2.1 Multilevel Splitting 2.2 The Multilevel Iteration 2.3 Multilevel Approach to Cone Beam Reconstuction 3 The use of approximating operators 3.1 Computing approximating families {Ah} T3 - NLD Preprints - 30 Y1 - 1996 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-14104 ER - TY - INPR A1 - Maaß, Peter A1 - Pereverzev, Sergei V. A1 - Ramlau, Ronny A1 - Solodky, Sergei G. T1 - An adaptive discretization for Tikhonov-Phillips regularization with a posteriori parameter selection N2 - The aim of this paper is to describe an efficient strategy for descritizing ill-posed linear operator equations of the first kind: we consider Tikhonov-Phillips-regularization χ^δ α = (a * a + α I)^-1 A * y ^δ with a finite dimensional approximation A n instead of A. We propose a sparse matrix structure which still leads to optimal convergences rates but requires substantially less scalar products for computing A n compared with standard methods. T3 - NLD Preprints - 48 Y1 - 1998 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-14739 ER - TY - INPR A1 - Ma, Li A1 - Xu, Xingwang T1 - Positive solutions of a logistic equation on unbounded intervals N2 - In this paper, we study the existence of positive solutions of a one-parameter family of logistic equations on R+ or on R. These equations are stationary versions of the Fisher equations and the KPP equations. We also study the blow up region of a sequence of the solutions when the parameter approachs a critical value and the nonexistence of positive solutions beyond the critical value. We use the direct method and the sub and super solution method. T3 - Preprint - (2001) 17 Y1 - 2001 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-26015 ER - TY - INPR A1 - Ma, L. A1 - Schulze, Bert-Wolfgang T1 - Operators on manifolds with conical singularities N2 - We construct elliptic elements in the algebra of (classical pseudo-differential) operators on a manifold M with conical singularities. The ellipticity of any such operator A refers to a pair of principal symbols (σ0, σ1) where σ0 is the standard (degenerate) homogeneous principal symbol, and σ1 is the so-called conormal symbol, depending on the complex Mellin covariable z. The conormal symbol, responsible for the conical singularity, is operator-valued and acts in Sobolev spaces on the base X of the cone. The σ1-ellipticity is a bijectivity condition for all z of real part (n + 1)/2 − γ, n = dimX, for some weight γ. In general, we have to rule out a discrete set of exceptional weights that depends on A. We show that for every operator A which is elliptic with respect to σ0, and for any real weight γ there is a smoothing Mellin operator F in the cone algebra such that A + F is elliptic including σ1. Moreover, we apply the results to ellipticity and index of (operator-valued) edge symbols from the calculus on manifolds with edges. T3 - Preprint - (2009) 07 KW - Operators on manifolds with conical singularities KW - conormal symbols KW - ellipticity of cone operators Y1 - 2009 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-36608 ER - TY - INPR A1 - Léonard, Christian A1 - Roelly, Sylvie A1 - Zambrini, Jean-Claude T1 - Temporal symmetry of some classes of stochastic processes N2 - In this article we analyse the structure of Markov processes and reciprocal processes to underline their time symmetrical properties, and to compare them. Our originality consists in adopting a unifying approach of reciprocal processes, independently of special frameworks in which the theory was developped till now (diffusions, or pure jump processes). This leads to some new results, too. T3 - Preprints des Instituts für Mathematik der Universität Potsdam - 2 (2013) 7 KW - Markov processes KW - reciprocal processes KW - time symmetry Y1 - 2013 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-64599 SN - 2193-6943 ER - TY - INPR A1 - Läuter, Henning A1 - Ramadan, Ayad T1 - Statistical Scaling of Categorical Data N2 - Estimation and testing of distributions in metric spaces are well known. R.A. Fisher, J. Neyman, W. Cochran and M. Bartlett achieved essential results on the statistical analysis of categorical data. In the last 40 years many other statisticians found important results in this field. Often data sets contain categorical data, e.g. levels of factors or names. There does not exist any ordering or any distance between these categories. At each level there are measured some metric or categorical values. We introduce a new method of scaling based on statistical decisions. For this we define empirical probabilities for the original observations and find a class of distributions in a metric space where these empirical probabilities can be found as approximations for equivalently defined probabilities. With this method we identify probabilities connected with the categorical data and probabilities in metric spaces. Here we get a mapping from the levels of factors or names into points of a metric space. This mapping yields the scale for the categorical data. From the statistical point of view we use multivariate statistical methods, we calculate maximum likelihood estimations and compare different approaches for scaling. T3 - Mathematische Statistik und Wahrscheinlichkeitstheorie : Preprint - 2010, 01 Y1 - 2010 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-49566 ER - TY - INPR A1 - Läuter, Henning A1 - Ramadan, Ayad T1 - Modeling and Scaling of Categorical Data N2 - Estimation and testing of distributions in metric spaces are well known. R.A. Fisher, J. Neyman, W. Cochran and M. Bartlett achieved essential results on the statistical analysis of categorical data. In the last 40 years many other statisticians found important results in this field. Often data sets contain categorical data, e.g. levels of factors or names. There does not exist any ordering or any distance between these categories. At each level there are measured some metric or categorical values. We introduce a new method of scaling based on statistical decisions. For this we define empirical probabilities for the original observations and find a class of distributions in a metric space where these empirical probabilities can be found as approximations for equivalently defined probabilities. With this method we identify probabilities connected with the categorical data and probabilities in metric spaces. Here we get a mapping from the levels of factors or names into points of a metric space. This mapping yields the scale for the categorical data. From the statistical point of view we use multivariate statistical methods, we calculate maximum likelihood estimations and compare different approaches for scaling. T3 - Mathematische Statistik und Wahrscheinlichkeitstheorie : Preprint - 2010, 03 Y1 - 2010 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-49572 ER - TY - INPR A1 - Läuter, Henning A1 - Liero, Hannelore T1 - Nonparametric estimation and testing in survival models N2 - The aim of this paper is to demonstrate that nonparametric smoothing methods for estimating functions can be an useful tool in the analysis of life time data. After stating some basic notations we will present a data example. Applying standard parametric methods to these data we will see that this approach fails - basic features of the underlying functions are not reflected by their estimates. Our proposal is to use nonparametric estimation methods. These methods are explained in section 2. Nonparametric approaches are better in the sense that they are more flexible, and misspecifications of the model are avoided. But, parametric models have the advantage that the parameters can be interpreted. So, finally, we will formulate a test procedure to check whether a parametric or a nonparametric model is appropriate. T3 - Mathematische Statistik und Wahrscheinlichkeitstheorie : Preprint - 2004, 05 Y1 - 2004 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-51586 ER - TY - INPR A1 - Läuter, Henning T1 - On approximate likelihood in survival models N2 - We give a common frame for different estimates in survival models. For models with nuisance parameters we approximate the profile likelihood and find estimates especially for the proportional hazard model. T3 - Mathematische Statistik und Wahrscheinlichkeitstheorie : Preprint - 2006, 04 KW - Approximate likelihood KW - profile likelihood KW - propor-tional hazard mode Y1 - 2006 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-51615 ER - TY - INPR A1 - Läuter, Henning T1 - Estimation in partly parametric additive Cox models N2 - The dependence between survival times and covariates is described e.g. by proportional hazard models. We consider partly parametric Cox models and discuss here the estimation of interesting parameters. We represent the ma- ximum likelihood approach and extend the results of Huang (1999) from linear to nonlinear parameters. Then we investigate the least squares esti- mation and formulate conditions for the a.s. boundedness and consistency of these estimators. T3 - Mathematische Statistik und Wahrscheinlichkeitstheorie : Preprint - 2003, 16 KW - Survival models with covariates KW - estimation of regression KW - maximum likelihood estimator KW - least squares estimator KW - boun- dedness KW - consistency Y1 - 2003 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-51509 ER - TY - INPR A1 - Läuter, Henning T1 - Empirical Minimax Linear Estimates N2 - We give the explicit solution for the minimax linear estimate. For scale dependent models an empirical minimax linear estimates is de¯ned and we prove that these estimates are Stein's estimates. T3 - Mathematische Statistik und Wahrscheinlichkeitstheorie : Preprint - 2008, 06 Y1 - 2008 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-49483 ER - TY - INPR A1 - Ly, Ibrahim A1 - Tarkhanov, Nikolai Nikolaevich T1 - Generalised Beltrami equations N2 - We enlarge the class of Beltrami equations by developping a stability theory for the sheaf of solutions of an overdetermined elliptic system of first order homogeneous partial differential equations with constant coefficients in the Euclidean space. T3 - Preprints des Instituts für Mathematik der Universität Potsdam - 2(2013)14 KW - Quasiconformal mapping KW - Beltrami equation Y1 - 2013 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-67416 ER - TY - INPR A1 - Ly, Ibrahim A1 - Tarkhanov, Nikolai Nikolaevich T1 - A Radó theorem for p-harmonic functions N2 - Let A be a nonlinear differential operator on an open set X in R^n and S a closed subset of X. Given a class F of functions in X, the set S is said to be removable for F relative to A if any weak solution of A (u) = 0 in the complement of S of class F satisfies this equation weakly in all of X. For the most extensively studied classes F we show conditions on S which guarantee that S is removable for F relative to A. T3 - Preprints des Instituts für Mathematik der Universität Potsdam - 4 (2015) 3 KW - Quasilinear equations KW - removable sets KW - p-Laplace Operator Y1 - 2015 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-71492 SN - 2193-6943 VL - 4 IS - 3 PB - Universitätsverlag Potsdam CY - Potsdam ER - TY - INPR A1 - Ly, Ibrahim A1 - Tarkhanov, Nikolai Nikolaevich T1 - Asymptotic expansions at nonsymmetric cuspidal points N2 - We study asymptotics of solutions to the Dirichlet problem in a domain whose boundary contains a nonsymmetric conical point. We establish a complete asymptotic expansion of solutions near the singular point. T3 - Preprints des Instituts für Mathematik der Universität Potsdam - 4 (2015) 7 KW - the Dirichlet problem KW - singular point KW - asymptotic expansion Y1 - 2015 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-78199 SN - 2193-6943 VL - 4 IS - 7 PB - Universitätsverlag Potsdam CY - Potsdam ER - TY - INPR A1 - Ly, I. A1 - Tarkhanov, Nikolai Nikolaevich T1 - The cauchy problem for nonlinear elliptic equations N2 - This paper is devoted to investigation of the Cauchy problem for nonlinear elliptic equations with a small parameter. T3 - Preprint - (2007) 01 Y1 - 2007 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-30228 ER - TY - INPR A1 - Lukaschewitsch, Michael T1 - Geoelectrical conductivity problems on unbounded domains N2 - This paper deals with the electrical conductivity problem in geophysics. It is formulated as an elliptic boundary value problem of second order for a large class of bounded and unbounded domains. A special boundary condition, the so called "Complete Electrode Model", is used. Poincaré inequalities are formulated and proved in the context of weighted Sobolev spaces, leading to existence and uniqueness statements for the boundary value problem. In addition, a parameter-to-solution operator arising from the inverse conductivity problem in medicine (EIT) and geophysics is investigated mathematically and is shown to be smooth and analytic. T3 - NLD Preprints - 45 Y1 - 1998 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-14704 ER - TY - INPR A1 - Lucke, Ulrike A1 - Steinmetz, Ralf T1 - Special issue on "Pervasive Education" T2 - Pervasive and mobile computing Y1 - 2014 U6 - https://doi.org/10.1016/j.pmcj.2014.08.001 SN - 1574-1192 SN - 1873-1589 VL - 14 SP - 1 EP - 2 PB - Elsevier CY - Amsterdam ER - TY - INPR A1 - Louis, Pierre-Yves A1 - Rouquier, Jean-Baptiste T1 - Time-to-Coalescence for interacting particle systems : parallel versus sequential updating N2 - Studying the influence of the updating scheme for MCMC algorithm on spatially extended models is a well known problem. For discrete-time interacting particle systems we study through simulations the effectiveness of a synchronous updating scheme versus the usual sequential one. We compare the speed of convergence of the associated Markov chains from the point of view of the time-to-coalescence arising in the coupling-from-the-past algorithm. Unlike the intuition, the synchronous updating scheme is not always the best one. The distribution of the time-to-coalescence for these spatially extended models is studied too. T3 - Mathematische Statistik und Wahrscheinlichkeitstheorie : Preprint - 2009, 03 Y1 - 2009 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-49454 ER - TY - INPR A1 - Louis, Pierre-Yves T1 - Coupling, space and time Mixing for parallel stochastic dynamics N2 - We first introduce some coupling of a finite number of Probabilistic Cellular Automata dynamics (PCA), preserving the stochastic ordering. Using this tool, for a general attractive probabilistic cellular automata on SZd, where S is finite, we prove that a condition (A) is equivalent to the (time-) convergence towards equilibrium of this Markovian parallel dynamics, in the uniform norm, exponentially fast. This condition (A) means the exponential decay of the influence from the boundary for the invariant measures of the system restricted to finite ‘box’-volume. For a class of reversible PCA dynamics on {−1, +1}Zd , with a naturally associated Gibbsian potential ϕ, we prove that a Weak Mixing condition for ϕ implies the validity of the assumption (A); thus the ‘exponential ergodicity’ of the dynamics towards the unique Gibbs measure associated to ϕ holds. On some particular examples of this PCA class, we verify that our assumption (A) is weaker than the Dobrushin-Vasershtein ergodicity condition. For some special PCA, the ‘exponential ergodicity’ holds as soon as there is no phase transition. T3 - Mathematische Statistik und Wahrscheinlichkeitstheorie : Preprint - 2004, 02 KW - Probabilistic Cellular Automata KW - Interacting Particle Systems KW - Coupling KW - Attractive Dynamics KW - Stochastic Ordering KW - Weak Mixing Condition Y1 - 2004 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-51560 ER - TY - INPR A1 - Louis, Pierre-Yves T1 - Increasing Coupling of Probabilistic Cellular Automata N2 - We give a necessary and sufficient condition for the existence of an increasing coupling of N (N >= 2) synchronous dynamics on S-Zd (PCA). Increasing means the coupling preserves stochastic ordering. We first present our main construction theorem in the case where S is totally ordered; applications to attractive PCAs are given. When S is only partially ordered, we show on two examples that a coupling of more than two synchronous dynamics may not exist. We also prove an extension of our main result for a particular class of partially ordered spaces. T3 - Mathematische Statistik und Wahrscheinlichkeitstheorie : Preprint - 2004, 04 KW - stochastic ordering KW - Probabilistic Cellular Automata KW - monotone coupling Y1 - 2004 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-51578 ER - TY - INPR A1 - Lo Brutto, Sabrina A1 - Arculeo, Marco A1 - Krapp-Schickel, Traudl A1 - Ketmaier, Valerio T1 - Foreword to the special issue "New frontiers for monitoring european biodiversity - the role and importance of amphipod crustaceans" T2 - Crustaceana : international journal of crustacean research Y1 - 2013 U6 - https://doi.org/10.1163/15685403-00003204 SN - 0011-216X VL - 86 IS - 7-8 SP - 769 EP - 779 PB - Brill CY - Leiden ER - TY - INPR A1 - Liu, Weian A1 - Yang, Yin A1 - Lu, Gang T1 - Viscosity solutions of fully nonlinear parabolic systems N2 - In this paper, we discuss the viscosity solutions of the weakly coupled systems of fully nonlinear second order degenerate parabolic equations and their Cauchy-Dirichlet problem. We prove the existence, uniqueness and continuity of viscosity solution by combining Perron's method with the technique of coupled solutions. The results here generalize those in [2] and [3]. T3 - Preprint - (2002) 02 KW - Viscosity solutions KW - systems of partial differential equations KW - fully non-linear degenerate parabolic equations KW - Perron's method KW - coupled solution Y1 - 2002 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-26215 ER - TY - INPR A1 - Liu, Weian T1 - Monotone method for nonlocal systems of first order N2 - In this paper, the monotone method is extended to the initial-boundary value problems of nonlocal PDE system of first order, both quasi-monotone and non-monotone. A comparison principle is established, and a monotone scheme is given. T3 - Preprint - (2005) 05 KW - System of nonlocal PDE of first order KW - comparison principle KW - monotone method Y1 - 2005 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-29791 ER - TY - INPR A1 - Liperovsky, V.A. A1 - Pochotelov, O.A. A1 - Liperovskaya, E.V. A1 - Parrot, M. A1 - Meister, C.-V. A1 - Alimov, O. A. T1 - Modifications of sporadic E-layers caused by seismic activity N2 - Contents: 1 Introduction 2 Formation and destruction of sporadic E-layers 3 Temporal variations of parameters of sporadic E-layers during earthquake preparation 3.1 Temporal variations of fbEs with time-scales of a few hours 3.2 Study of fbEs variations with characteristic time-scales of 0.5-3 hours 3.3 Variations of the parameters of sporadic E-layers with characteristic time-scales of 15-45 minutes 3.4 Sporadic E-layer variations with characteristic time-scales of 2-15 minutes 4 On the spatial scales of sporadic E-layer disturbances related to seismic activity 5 Complex experimental researches of the ionosphere, electromagnetic noise and the geomagnetic field 5.1 Ionospheric and electromagnetic phenomena of the Kayraccum earthquake in 1985 5.2 Comparison of anomalies with characteristic time-scales of 2-3 hours for ionospheric E- and F-layers, and temporal behaviour of electromagnetic noise emission intensity 5.3 Night airglow emissions in the E-region before earthquakes and sporadic E-layer variations 6 Physical models of lithosphere-ionosphere links 6.1 Lithosphere-ionosphere links due to AGW 6.2 Electromagnetic models for the lithosphere-ionosphere coupling 6.3 Sporadic E-layers as current generators 7 Discussion and conclusion T3 - NLD Preprints - 49 Y1 - 1998 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-14799 ER - TY - INPR A1 - Liperovsky, V. A. A1 - Meister, Claudia-Veronika A1 - Doda, L. N. A1 - Liperovskaya, E. V. A1 - Davidov, V. F. A1 - Bogdanov, V. V. T1 - On the possible influence of radon and aerosol injection on the atmosphere and ionosphere before earthquakes N2 - A model of the generation of pulses of local electric fields with characteristic time scales of 1–10 minutes is considered for atmospheric conditions above fracture regions of earthquakes. In the model, it is proposed that aerosols, increased ionization velocity and upstreaming air flows occur at night-time conditions. The pulses of local electric fields cause respective pulses of infrared emissions. But infrared emissions with time scales of 1–10 minutes were not observed up to now experimentally. The authors think, that the considered non-stationary field and radiation effects might be a new-type of applicable earthquake indicators and ask to perform special earth-based and satellite observations of the night-time atmosphere in seismoactive fracture regions. T3 - NLD Preprints - 64 Y1 - 2005 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-14995 ER - TY - INPR A1 - Liperovskaya, E. V. A1 - Parrot, M. A1 - Bogdanov, V. V. A1 - Meister, Claudia-Veronika A1 - Rodkin, M. V. A1 - Liperovsky, V. A. T1 - On long-term variations of foF2 in the mid-latitude ionosphere before strong earthquakes N2 - The statistical analysis of the variations of the dayly-mean frequency of the maximum ionospheric electron density foF2 is performed in connection with the occurrence of (more than 60) earthquakes with magnitudes M > 6.0, depths h < 80 km and distances from the vertical sounding station R < 1000 km. For the study, data of the Tokyo sounding station are used, which were registered every hour in the years 1957-1990. It is shown that, on the average, foF2 decreases before the earthquakes. One day before the shock the decrease amounts to about 5 %. The statistical reliability of this phenomenon is obtained to be better than 0.95. Further, the variations of the occurrence probability of the turbulization of the F-layer (F spread) are investigated for (more than 260) earthquakes with M > 5.5, h < 80 km, R < 1000 km. For the analysis, data of the Japanese station Akita from 1969-1990 are used, which were obtained every hour. It is found that before the earthquakes the occurrence probability of F spread decreases. In the week before the event, the decrease has values of more than 10 %. The statistical reliability of this phenomenon is also larger than 0.95. Examining the seismo-ionospheric effects, here periods of time with weak heliogeomagnetic disturbances are considered, the Wolf number is less than 100 and the index ∑ Kp is smaller than 30. T3 - NLD Preprints - 66 Y1 - 2006 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-15017 ER - TY - INPR A1 - Liperovskaya, E. V. A1 - Meister, Claudia-Veronika A1 - Parrot, M. A1 - Bogdanov, V. V. A1 - Vasil‘eva, N. E. T1 - On Es-spread effects in the ionosphere connected to earthquakes N2 - In the present work, phenomena in the ionosphere are studied, which are connected with earthquakes (16 events) having a depth of less than 50 km and a magnitude M larger than 4. Analysed are night-time Es-spread effects using data of the vertical sounding station Petropavlovsk- Kanchatsky (φ=53.0°, λ=158.7°) from May 2004 until August 2004 registered every 15 minutes. It is found that the maximum distance of the earthquake from the sounding station, where pre-seismic phenomena are yet observable, depends on the magnitude of the earthquake. Further it is shown that 1-2 days before the earthquakes, in the premidnight hours, the appearance of Es-spread increases. The reliability of this increase amounts to 0.95. T3 - NLD Preprints - 65 Y1 - 2006 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-15003 ER - TY - INPR A1 - Lindemann, Oliver A1 - Fischer, Martin H. T1 - Embodied number processing T2 - Journal of cognitive psychology Y1 - 2015 U6 - https://doi.org/10.1080/20445911.2015.1032295 SN - 2044-5911 SN - 2044-592X VL - 27 IS - 4 SP - 381 EP - 387 PB - Routledge, Taylor & Francis Group CY - Abingdon ER - TY - INPR A1 - Liero, Hannelore A1 - Liero, Matthias T1 - Testing the acceleration function in life time models N2 - The accelerated life time model is considered. First, test procedures for testing the parameter of a parametric acceleration function is investigated; this is done under the assumption of parametric and nonparametric baseline distribution. Further, based on nonparametric estimators for regression functions tests are proposed for checking whether a parametric acceleration function is appropriate to model the influence of the covariates. Resampling procedures are discussed for the realization of these methods. Simulations complete the considerations. T3 - Mathematische Statistik und Wahrscheinlichkeitstheorie : Preprint - 2006, 03 Y1 - 2006 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-49405 ER - TY - INPR A1 - Liero, Hannelore T1 - A Note on : testing the Copula Based on Densities N2 - We consider the problem of testing whether the density of a mul- tivariate random variable can be expressed by a prespecified copula function and the marginal densities. The proposed test procedure is based on the asymptotic normality of the properly standardized integrated squared distance between a multivariate kernel density estimator and an estimator of its expectation under the hypothesis. The test of independence is a special case of this approach. T3 - Mathematische Statistik und Wahrscheinlichkeitstheorie : Preprint - 2006, 02 Y1 - 2006 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-49393 ER - TY - INPR A1 - Liero, Hannelore T1 - Goodness of Fit Tests of L2-Type N2 - We give a survey on procedures for testing functions which are based on quadratic deviation measures. The following problems are considered: Testing whether a density function lies in a parametric class of functions, whether continuous random variables are independent; testing cell probabilities and independence in sparse data sets; testing the parametric fit of a regression homoscedasticity in a regression model and testing the hazard rate in survival models with censoring and with and without covariates. T3 - Mathematische Statistik und Wahrscheinlichkeitstheorie : Preprint - 2003, 15 Y1 - 2003 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-51494 ER - TY - INPR A1 - Liero, Hannelore T1 - Testing the Hazard Rate, Part I N2 - We consider a nonparametric survival model with random censoring. To test whether the hazard rate has a parametric form the unknown hazard rate is estimated by a kernel estimator. Based on a limit theorem stating the asymptotic normality of the quadratic distance of this estimator from the smoothed hypothesis an asymptotic ®-test is proposed. Since the test statistic depends on the maximum likelihood estimator for the unknown parameter in the hypothetical model properties of this parameter estimator are investigated. Power considerations complete the approach. T3 - Mathematische Statistik und Wahrscheinlichkeitstheorie : Preprint - 2003, 17 KW - kernel estimator of the hazard rate KW - goodness of fit KW - maximum likelihood estimator KW - limit theorem for integrated squared difference KW - censoring Y1 - 2003 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-51510 ER - TY - INPR A1 - Levendorskii, Sergei Z. A1 - Boyarchenko, Svetlana I. T1 - On rational pricing of derivative securities for a familiy of non-Gaussian processes N2 - Linear and non-linear analogues of the Black-Scholes equation are derived when shocks can be described by a truncated Lévy process. A linear equation is derived under the perfect correlation assumption on returns for a derivative security and a stock, and its solutions for European put and call options are obtained. It is also shown that the solution violates the perfect correlation assumption unless a process is gaussian. Thus, for a family of truncated Lévy distributions, the perfect hedging is impossible even in the continuous time limit. A second linear analogue of the Black-Scholes equation is obtained by constructing a portfolio which eliminates fluctuations of the first order and assuming that the portfolio is risk-free; it is shown that this assumption fails unless a process is gaussian. It is shown that the di erence between solutions to the linear analogues of the Black-Scholes equations and solutions to the Black-Scholes equations are sizable. The equations and solutions can be written in a discretized approximate form which uses an observed probability distribution only. Non-linear analogues for the Black-Scholes equation are derived from the non-arbitrage condition, and approximate formulas for solutions of these equations are suggested. Assuming that a linear generalization of the Black-Scholes equation holds, we derive an explicit pricing formula for the perpetual American put option and produce numerical results which show that the difference between our result and the classical Merton's formula obtained for gaussian processes can be substantial. Our formula uses an observed distribution density, under very weak assumptions on the latter. T3 - Preprint - (1998) 07 Y1 - 1998 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-25196 ER - TY - INPR A1 - Levendorskii, Sergei Z. A1 - Boyarchenko, Svetlana I. T1 - Investment under uncertainty when shocks are non-gaussian T3 - Preprint - (1998) 08 Y1 - 1998 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-25201 ER - TY - INPR A1 - Leroux, Fabrice A1 - Rabu, Pierre A1 - Sommerdijk, Nico A. J. M. A1 - Taubert, Andreas T1 - Hybrid Materials Engineering in Biology, Chemistry, and Physics T2 - European journal of inorganic chemistry : a journal of ChemPubSoc Europe N2 - The Guest Editors emphasize the rapidly growing research in advanced materials.Telecommunication, health and environment, energy and transportation, and sustainability are just a few examples where new materials have been key for technological advancement. Y1 - 2015 U6 - https://doi.org/10.1002/ejic.201500098 SN - 1434-1948 SN - 1099-0682 IS - 7 SP - 1086 EP - 1088 PB - Wiley-VCH CY - Weinheim ER - TY - INPR A1 - Lenz, Markus Alexander T1 - Word makes tribe: - racism and determinism in the philology of the 19th century T2 - Romanistische Zeitschrift für Literaturgeschichte Y1 - 2011 SN - 0343-379X VL - 35 IS - 3-4 SP - 483 EP - 484 PB - Winter CY - Heidelberg ER - TY - INPR A1 - Lenhard, Michael T1 - All's well that ends well arresting cell proliferation in leaves T2 - Developmental cell N2 - The transition from cell proliferation to cell expansion is critical for determining leaf size. Andriankaja et al. (2012) demonstrate that in leaves of dicotyledonous plants, a basal proliferation zone is maintained for several days before abruptly disappearing, and that chloroplast differentiation is required to trigger the onset of cell expansion. Y1 - 2012 U6 - https://doi.org/10.1016/j.devcel.2011.12.004 SN - 1534-5807 VL - 22 IS - 1 SP - 9 EP - 11 PB - Cell Press CY - Cambridge ER - TY - INPR A1 - Lenhard, Michael T1 - Plant Growth: Jogging the Cell Cycle with JAG T2 - Current biology Y1 - 2012 U6 - https://doi.org/10.1016/j.cub.2012.07.033 SN - 0960-9822 VL - 22 IS - 19 SP - R838 EP - R840 PB - Cell Press CY - Cambridge ER - TY - INPR A1 - Lendlein, Andreas A1 - Neffe, Axel T. A1 - Jerome, Christine T1 - Advanced functional polymers for medicine T2 - Advanced healthcare materials Y1 - 2014 U6 - https://doi.org/10.1002/adhm.201400718 SN - 2192-2640 SN - 2192-2659 VL - 3 IS - 12 SP - 1939 EP - 1940 PB - Wiley-Blackwell CY - Hoboken ER - TY - INPR A1 - Lauter, Robert A1 - Seiler, Jörg T1 - Pseudodifferential analysis on manifolds with boundary - a comparison of b-calculus and cone algebra N2 - We establish a relation between two different approaches to a complete pseudodifferential analysis of totally characteristic or Fuchs type operators on compact manifolds with boundary respectively conical singularities: Melrose's (overblown) b-calculus and Schulze's cone algebra. Though quite different in their definition, we show that these two pseudodifferential calculi basically contain the same operators. T3 - Preprint - (1999) 27 Y1 - 1999 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-25611 ER - TY - INPR A1 - Laubrock, Jochen A1 - Hohenstein, Sven T1 - Orthographic consistency and parafoveal preview benefit: A resource-sharing account of language differences in processing of phonological and semantic codes T2 - Behavioral and brain sciences : an international journal of current research and theory with open peer commentary N2 - Parafoveal preview benefit (PB) is an implicit measure of lexical activation in reading. PB has been demonstrated for orthographic and phonological but not for semantically related information in English. In contrast, semantic PB is obtained in German and Chinese. We propose that these language differences reveal differential resource demands and timing of phonological and semantic decoding in different orthographic systems. Y1 - 2012 U6 - https://doi.org/10.1017/S0140525X12000209 SN - 0140-525X SN - 1469-1825 VL - 35 IS - 5 SP - 292 EP - 293 PB - Cambridge Univ. Press CY - New York ER - TY - INPR A1 - Lasaponara, Rosa A1 - Murgante, Beniamino A1 - Masini, Nicola A1 - Ge, Yong A1 - Asche, Hartmut T1 - Advance in geocomputation T2 - International journal of applied earth observation and geoinformation Y1 - 2014 U6 - https://doi.org/10.1016/j.jag.2013.10.004 SN - 0303-2434 VL - 26 SP - 429 EP - 431 PB - Elsevier CY - Amsterdam ER - TY - INPR A1 - Kytmanov, Alexander A1 - Myslivets, Simona A1 - Tarkhanov, Nikolai Nikolaevich T1 - Analytic representation of CR Functions on hypersurfaces with singularities N2 - We prove a theorem on analytic representation of integrable CR functions on hypersurfaces with singular points. Moreover, the behaviour of representing analytic functions near singular points is investigated. We are aimed at explaining the new effect caused by the presence of a singularity rather than at treating the problem in full generality. T3 - Preprint - (1999) 29 Y1 - 1999 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-25631 ER - TY - INPR A1 - Kytmanov, Alexander A1 - Myslivets, Simona A1 - Tarkhanov, Nikolai Nikolaevich T1 - Holomorphic Lefschetz formula for manifolds with boundary N2 - The classical Lefschetz fixed point formula expresses the number of fixed points of a continuous map f : M -> M in terms of the transformation induced by f on the cohomology of M. In 1966 Atiyah and Bott extended this formula to elliptic complexes over a compact closed manifold. In particular, they presented a holomorphic Lefschtz formula for compact complex manifolds without boundary, a result, in the framework of algebraic geometry due to Eichler (1957) for holomorphic curves. On compact complex manifolds with boundary the Dolbeault complex is not elliptic, hence the Atiyah-Bott theory is no longer applicable. To get rid of the difficulties related to the boundary behaviour of the Dolbeault cohomology, Donelli and Fefferman (1986) derived a fixed point formula for the Bergman metric. The purpose of this paper is to present a holomorphic Lefschtz formula on a compact complex manifold with boundary T3 - Preprint - (2002) 17 Y1 - 2002 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-26354 ER - TY - INPR A1 - Kytmanov, Aleksandr A1 - Myslivets, Simona A1 - Tarkhanov, Nikolai Nikolaevich T1 - Power sums of roots of a nonlinear system N2 - For a system of meromorphic functions f = (f1, . . . , fn) in Cn, an explicit formula is given for evaluating negative power sums of the roots of the nonlinear system f(z) = 0. T3 - Preprint - (2004) 18 Y1 - 2004 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-26788 ER - TY - INPR A1 - Kytmanov, Aleksandr A1 - Myslivets, Simona A1 - Tarkhanov, Nikolai Nikolaevich T1 - Zeta-function of a nonlinear system N2 - Given a system of entire functions in Cn with at most countable set of common zeros, we introduce the concept of zeta-function associated with the system. Under reasonable assumptions on the system, the zeta-function is well defined for all s ∈ Zn with sufficiently large components. Using residue theory we get an integral representation for the zeta-function which allows us to construct an analytic extension of the zeta-function to an infinite cone in Cn. T3 - Preprint - (2004) 19 Y1 - 2004 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-26795 ER - TY - INPR A1 - Kytmanov, Aleksandr A1 - Myslivets, Simona A1 - Tarkhanov, Nikolai Nikolaevich T1 - Removable singularities of CR functions on singular boundaries N2 - The problem of analytic representation of integrable CR functions on hypersurfaces with singularities is treated. The nature o singularities does not matter while the set of singularities has surface measure zero. For simple singularities like cuspidal points, edges, corners, etc., also the behaviour of representing analytic functions near singular points is studied. T3 - Preprint - (2000) 18 Y1 - 2000 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-25836 ER - TY - INPR A1 - Kytmanov, Aleksandr A1 - Myslivets, Simona A1 - Schulze, Bert-Wolfgang A1 - Tarkhanov, Nikolai Nikolaevich T1 - Elliptic problems for the Dolbeault complex N2 - The inhomogeneous ∂-equations is an inexhaustible source of locally unsolvable equations, subelliptic estimates and other phenomena in partial differential equations. Loosely speaking, for the anaysis on complex manifolds with boundary nonelliptic problems are typical rather than elliptic ones. Using explicit integral representations we assign a Fredholm complex to the Dolbeault complex over an arbitrary bounded domain in C up(n). T3 - Preprint - (2001) 13 Y1 - 2001 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-25979 ER - TY - INPR A1 - Kuxhaus, Olga T1 - Parametrische Schätzungen von elliptischen Copulafunktionen N2 - Aus dem Inhalt: Inhaltsverzeichnis Abbildungsverzeichnis Tabellenverzeichnis 1 Einleitung und Motivation 2 Multivariate Copulafunktionen 2.1 Einleitung 2.2 Satz von Sklar 2.3 Eigenschaften von Copulafunktionen 3 Abhängigkeitskonzepte 3.1 Lineare Korrelation 3.2 Copulabasierte Abhängigkeitsmaße 3.2.1 Konkordanz 3.2.2 Kendall’s und Spearman’s 3.2.3 Asymptotische Randabhängigkeit 4 Elliptische Copulaklasse 4.1 Sphärische und elliptische Verteilungen 4.2 Normal-Copula 4.3 t-Copula 5 Parametrische Schätzverfahren 5.1 Maximum-Likelihood-Methode 5.1.1 ExakteMaximum-Likelihood-Methode 5.1.2 2-stufige parametrische Maximum-Likelihood-Methode 5.1.3 2-stufige semiparametrische Maximum-Likelihood-Methode 5.2 Momentenmethode 5.3 Kendall’s -Momentenmethode 6 Parameterschätzungen für Normal- und t-Copula 6.1 Normal-Copula 6.1.1 Maximum-Likelihood-Methode 6.1.2 Momentenmethode 6.1.3 Kendall’s Momentenmethode 6.1.4 Spearman’s Momentenmethode 6.2 t-Copula 6.2.1 Verfahren 1 (exakte ML-Methode) 6.2.2 Verfahren 2 (2-stufige rekursive ML-Methode) 6.2.3 Verfahren 3 (2-stufige KM-ML-Methode) 6.2.4 Verfahren 4 (3-stufige M-ML-Methode) 7 Simulationen 7.1 Grundlagen 7.2 Parametrischer Fall 7.3 Nichtparametrischer Fall 7.4 Fazit A Programmausschnitt Literaturverzeichnis T3 - Mathematische Statistik und Wahrscheinlichkeitstheorie : Preprint - 2010, 09 Y1 - 2010 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-51681 ER - TY - INPR A1 - Kurths, Jürgen A1 - Voss, A. A1 - Witt, Annette A1 - Saparin, P. A1 - Kleiner, H. J. A1 - Wessel, Niels T1 - Quantitative analysis of heart rate variability N2 - In the modern industrialized countries every year several hundred thousands of people die due to the sudden cardiac death. The individual risk for this sudden cardiac death cannot be defined precisely by common available, non-invasive diagnostic tools like Holter-monitoring, highly amplified ECG and traditional linear analysis of heart rate variability (HRV). Therefore, we apply some rather unconventional methods of nonlinear dynamics to analyse the HRV. Especially, some complexity measures that are basing on symbolic dynamics as well as a new measure, the renormalized entropy, detect some abnormalities in the HRV of several patients who have been classified in the low risk group by traditional methods. A combination of these complexity measures with the parameters in the frequency domain seems to be a promising way to get a more precise definition of the individual risk. These findings have to be validated by a representative number of patients. T3 - NLD Preprints - 5 Y1 - 1994 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-13470 ER - TY - INPR A1 - Kurths, Jürgen A1 - Pikovskij, Arkadij A1 - Scheffczyk, Christian T1 - Roughening interfaces in deterministic dynamics N2 - Two deterministic processes leading to roughening interfaces are considered. It is shown that the dynamics of linear perturbations of turbulent regimes in coupled map lattices is governed by a discrete version of the Kardar-Parisi-Zhang equation. The asymptotic scaling behavior of the perturbation field is investigated in the case of large lattices. Secondly, the dynamics of an order-disorder interface is modelled with a simple two-dimensional coupled map lattice, possesing a turbulent and a laminar state. It is demonstrated, that in some range of parameters the spreading of the turbulent state is accompanied by kinetic roughening of the interface. T3 - NLD Preprints - 3 Y1 - 1994 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-13447 ER - TY - INPR A1 - Kunze, Simone T1 - Das Sammelbilderproblem N2 - Aus dem Inhalt: 1 Einleitung 2 Entwicklung der Lösungsansätze 3 Martingalansatz 4 Markov-Ketten Ansatz 5 Einbettung in Poisson Prozesse 6 Kombinatorische Ansätze 7 Zusammenfassung und Ausblick Literaturverzeichnis T3 - Mathematische Statistik und Wahrscheinlichkeitstheorie : Preprint - 2010, 12 Y1 - 2010 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-51646 ER - TY - INPR A1 - Kucian, Karin A1 - Plangger, Fabienne A1 - O'Gorman, Ruth A1 - von Aster, Michael G. T1 - Operational momentum effect in children with and without developmental dyscalculia T2 - Frontiers in psychology KW - developmental dyscalculia KW - operational momentum KW - children KW - learning disability KW - numerical cognition KW - mental number line KW - symbolic calculation KW - attention Y1 - 2013 U6 - https://doi.org/10.3389/fpsyg.2013.00847 SN - 1664-1078 VL - 4 IS - 45 PB - Frontiers Research Foundation CY - Lausanne ER - TY - INPR A1 - Kröning, Daniel A1 - Margaria, Tiziana A1 - Woodcock, Jim T1 - Untitled T2 - Formal aspects of computing : the international journal of formal methods Y1 - 2011 U6 - https://doi.org/10.1007/s00165-011-0201-8 SN - 0934-5043 VL - 23 IS - 5 SP - 585 EP - 588 PB - Springer CY - New York ER - TY - INPR A1 - Krupchyk, K. A1 - Tarkhanov, Nikolai Nikolaevich A1 - Tuomela, J. T1 - Generalised elliptic boundary problems N2 - For elliptic systems of differential equations on a manifold with boundary, we prove the Fredholm property of a class of boundary problems which do not satisfy the Shapiro-Lopatinskii property. We name these boundary problems generalised elliptic, for they preserve the main properties of elliptic boundary problems. Moreover, they reduce to systems of pseudodifferential operators on the boundary which are generalised elliptic in the sense of Saks (1997). T3 - Preprint - (2005) 23 Y1 - 2005 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-29994 ER - TY - INPR A1 - Krupchyk, K. A1 - Tarkhanov, Nikolai Nikolaevich A1 - Tuomela, J. T1 - Elliptic quasicomplexes in Boutet de Monvel algebra N2 - We consider quasicomplexes of Boutet de Monvel operators in Sobolev spaces on a smooth compact manifold with boundary. To each quasicomplex we associate two complexes of symbols. One complex is defined on the cotangent bundle of the manifold and the other on that of the boundary. The quasicomplex is elliptic if these symbol complexes are exact away from the zero sections. We prove that elliptic quasicomplexes are Fredholm. As a consequence of this result we deduce that a compatibility complex for an overdetermined elliptic boundary problem operator is also Fredholm. Moreover, we introduce the Euler characteristic for elliptic quasicomplexes of Boutet de Monvel operators. T3 - Preprint - (2006) 12 Y1 - 2006 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-30122 ER - TY - INPR A1 - Krems, Josef F. T1 - Selected papers from the 2nd European Conference on Human Centred Design for Intelligent Transport Systems T2 - IET intelligent transport systems Y1 - 2011 U6 - https://doi.org/10.1049/iet-its.2011.9036 SN - 1751-956X VL - 5 IS - 2 SP - 101 EP - 102 PB - Institution of Engineering and Technology CY - Hertford ER - TY - INPR A1 - Kreibich, Heidi A1 - van den Bergh, Jeroen C. J. M. A1 - Bouwer, Laurens M. A1 - Bubeck, Philip A1 - Ciavola, Paolo A1 - Green, Colin A1 - Hallegatte, Stephane A1 - Logar, Ivana A1 - Meyer, Volker A1 - Schwarze, Reimund A1 - Thieken, Annegret T1 - Costing natural hazards T2 - Nature climate change Y1 - 2014 SN - 1758-678X SN - 1758-6798 VL - 4 IS - 5 SP - 303 EP - 306 PB - Nature Publ. Group CY - London ER - TY - INPR A1 - Kreft, Jan-Ulrich A1 - Plugge, Caroline M. A1 - Grimm, Volker A1 - Prats, Clara A1 - Leveau, Johan H. J. A1 - Banitz, Thomas A1 - Baines, Stephen A1 - Clark, James A1 - Ros, Alexandra A1 - Klapper, Isaac A1 - Topping, Chris J. A1 - Field, Anthony J. A1 - Schuler, Andrew A1 - Litchman, Elena A1 - Hellweger, Ferdi L. T1 - Mighty small - observing and modeling individual microbes becomes big science T2 - Proceedings of the National Academy of Sciences of the United States of America Y1 - 2013 U6 - https://doi.org/10.1073/pnas.1317472110 SN - 0027-8424 VL - 110 IS - 45 SP - 18027 EP - 18028 PB - National Acad. of Sciences CY - Washington ER - TY - INPR A1 - Krause, S. A1 - Munz, Matthias A1 - Tecklenburg, C. A1 - Binley, Andrew T1 - The effect of groundwater forcing on hyporheic exchange Reply to comment on 'Munz M, Krause S, Tecklenburg C, Binley A. Reducing monitoring gaps at the aquifer-river interface by modelling groundwater-surfacewater exchange flow patterns. Hydrological Processes. DOI: 10.1002/hyp.8080' T2 - Hydrological processes Y1 - 2012 U6 - https://doi.org/10.1002/hyp.9271 SN - 1099-1085 VL - 26 IS - 10 SP - 1589 EP - 1592 PB - Wiley-Blackwell CY - Hoboken ER - TY - INPR A1 - Krainer, Thomas A1 - Schulze, Bert-Wolfgang T1 - Long-time asymptotics with geometric singularities in the spatial variables N2 - Content: Introduction 1 Anisotropic operators in a cylinder with a conical base 1.1 Manifolds with conical singularities and opertors of Fuchs type 1.2 Typical operators and symbol structures 2 Weighted wedge Sobolev spaces and edge asymptotics 2.1 Discrete edge asymptotics 2.2 Continuos edge asymptotics with discrete limit at infinity 2.3 Calculus with operator valued symbols 3 Corner asymptotics at infinity 3.1 The structure of singular functions 3.2 Operators with trace and potential conditions 3.3 Asymptotics and (anisotropic) elliptic regularity T3 - Preprint - (2000) 17 Y1 - 2000 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-25824 ER - TY - INPR A1 - Krainer, Thomas A1 - Schulze, Bert-Wolfgang T1 - On the inverse of parabolic systems of partial differential equations of general form in an infinite space-time cylinder [Part 1: Chapter 1+2] N2 - We consider general parabolic systems of equations on the infinite time interval in case of the underlying spatial configuration is a closed manifold. The solvability of equations is studied both with respect to time and spatial variables in exponentially weighted anisotropic Sobolev spaces, and existence and maximal regularity statements for parabolic equations are proved. Moreover, we analyze the long-time behaiour of solutions in terms of complete asymptotic expansions. These results are deduced from a pseudodifferential calculus that we construct explicitly. This algebra of operators is specifically designed to contain both the classical systems of parabolic equations of general form and their inverses, parabolicity being reflected purely on symbolic level. To this end, we assign t = ∞ the meaning of an anisotropic conical point, and prove that this interprtation is consistent with the natural setting in the analysis of parabolic PDE. Hence, major parts of this work consist of the construction of an appropriate anisotropiccone calculus of so-called Volterra operators. In particular, which is the most important aspect, we obtain the complete characterization of the microlocal and the global kernel structure of the inverse of parabolicsystems in an infinite space-time cylinder. Moreover, we obtain perturbation results for parabolic equations from the investigation of the ideal structure of the calculus. T3 - Preprint - (2001) 14 Y1 - 2001 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-25987 ER - TY - INPR A1 - Krainer, Thomas A1 - Schulze, Bert-Wolfgang T1 - On the inverse of parabolic systems of partial differential equations of general form in an infinite space-time cylinder [Part 2: Chapter 3-5] N2 - We consider general parabolic systems of equations on the infinite time interval in case of the underlying spatial configuration is a closed manifold. The solvability of equations is studied both with respect to time and spatial variables in exponentially weighted anisotropic Sobolev spaces, and existence and maximal regularity statements for parabolic equations are proved. Moreover, we analyze the long-time behaiour of solutions in terms of complete asymptotic expansions. These results are deduced from a pseudodifferential calculus that we construct explicitly. This algebra of operators is specifically designed to contain both the classical systems of parabolic equations of general form and their inverses, parabolicity being reflected purely on symbolic level. To this end, we assign t = ∞ the meaning of an anisotropic conical point, and prove that this interprtation is consistent with the natural setting in the analysis of parabolic PDE. Hence, major parts of this work consist of the construction of an appropriate anisotropiccone calculus of so-called Volterra operators. In particular, which is the most important aspect, we obtain the complete characterization of the microlocal and the global kernel structure of the inverse of parabolicsystems in an infinite space-time cylinder. Moreover, we obtain perturbation results for parabolic equations from the investigation of the ideal structure of the calculus. T3 - Preprint - (2001) 15 Y1 - 2001 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-25992 ER - TY - INPR A1 - Krainer, Thomas A1 - Schulze, Bert-Wolfgang T1 - On the inverse of parabolic systems of partial differential equations of general form in an infinite space-time cylinder [Part 3: Chapter 6+7] N2 - We consider general parabolic systems of equations on the infinite time interval in case of the underlying spatial configuration is a closed manifold. The solvability of equations is studied both with respect to time and spatial variables in exponentially weighted anisotropic Sobolev spaces, and existence and maximal regularity statements for parabolic equations are proved. Moreover, we analyze the long-time behaiour of solutions in terms of complete asymptotic expansions. These results are deduced from a pseudodifferential calculus that we construct explicitly. This algebra of operators is specifically designed to contain both the classical systems of parabolic equations of general form and their inverses, parabolicity being reflected purely on symbolic level. To this end, we assign t = ∞ the meaning of an anisotropic conical point, and prove that this interprtation is consistent with the natural setting in the analysis of parabolic PDE. Hence, major parts of this work consist of the construction of an appropriate anisotropiccone calculus of so-called Volterra operators. In particular, which is the most important aspect, we obtain the complete characterization of the microlocal and the global kernel structure of the inverse of parabolicsystems in an infinite space-time cylinder. Moreover, we obtain perturbation results for parabolic equations from the investigation of the ideal structure of the calculus. T3 - Preprint - (2001) 16 Y1 - 2001 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-26000 ER - TY - INPR A1 - Krainer, Thomas A1 - Schulze, Bert-Wolfgang T1 - The conormal symbolic structure of corner boundary value problems N2 - Ellipticity of operators on manifolds with conical singularities or parabolicity on space-time cylinders are known to be linked to parameter-dependent operators (conormal symbols) on a corresponding base manifold. We introduce the conormal symbolic structure for the case of corner manifolds, where the base itself is a manifold with edges and boundary. The specific nature of parameter-dependence requires a systematic approach in terms of meromorphic functions with values in edge-boundary value problems. We develop here a corresponding calculus, and we construct inverses of elliptic elements. T3 - Preprint - (2004) 01 Y1 - 2004 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-26662 ER - TY - INPR A1 - Krainer, Thomas T1 - The calculus of Volterra Mellin pseudodifferential operators with operator-valued symbols N2 - We introduce the calculus of Mellin pseudodifferential operators parameters based on "twisted" operator-valued Volterra symbols as well aas the abstract Mellin calclus with holomorphic symbols. We establish the properties of the symblic and operational calculi, and we give and make use of explicit oscillatory integral formulas on the symbolic side, e. g., for the Leibniz-product, kernel cut-off, and Mellin quantization. Moreover, we introduce the notion of parabolicity for the calculi of Volterra Mellin operators, and construct Volterra parametrices for parabolic operators within the calculi. T3 - Preprint - (2001) 35 Y1 - 2001 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-26185 ER - TY - INPR A1 - Krainer, Thomas T1 - On the inverse of parabolic boundary value problems for large times N2 - We construct algebras of Volterra pseudodifferential operators that contain, in particular, the inverses of the most natural classical systems of parabolic boundary value problems of general form. Parabolicity is determined by the invertibility of the principal symbols, and as a result is equivalent to the invertibility of the operators within the calculus. Existence, uniqueness, regularity, and asymptotics of solutions as t → ∞ are consquences of the mapping properties of the operators in exponentially weighted Sobolev spaces and subspaces with asymptotics. An important aspect of this work is that the microlocal and global kernel structure of the inverse operator (solution operator) of a parabolic boundary value problem for large times is clarified. Moreover, our approach naturally yields qualitative pertubation results for the solvability theory of parabolic boundary value problems. To achieve these results, we assign t = ∞ the meaning of a conical point and treat the operators as totally characteristic pseudodifferential boundary value problems. T3 - Preprint - (2002) 12 Y1 - 2002 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-26310 ER - TY - INPR A1 - Krainer, Thomas T1 - Elliptic boundary problems on manifolds with polycylindrical ends N2 - We investigate general Shapiro-Lopatinsky elliptic boundary value problems on manifolds with polycylindrical ends. This is accomplished by compactifying such a manifold to a manifold with corners of in general higher codimension, and we then deal with boundary value problems for cusp differential operators. We introduce an adapted Boutet de Monvel’s calculus of pseudodifferential boundary value problems, and construct parametrices for elliptic cusp operators within this calculus. Fredholm solvability and elliptic regularity up to the boundary and up to infinity for boundary value problems on manifolds with polycylindrical ends follows. T3 - Preprint - (2005) 15 Y1 - 2005 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-29912 ER - TY - INPR A1 - Krainer, Thomas T1 - Resolvents of elliptic boundary problems on conic manifolds N2 - We prove the existence of sectors of minimal growth for realizations of boundary value problems on conic manifolds under natural ellipticity conditions. Special attention is devoted to the clarification of the analytic structure of the resolvent. T3 - Preprint - (2005) 03 Y1 - 2005 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-29773 ER - TY - INPR A1 - Krainer, Thomas T1 - On the calculus of pseudodifferential operators with an anisotropic analytic parameter N2 - We introduce the Volterra calculus of pseudodifferential operators with an anisotropic analytic parameter based on "twisted" operator-valued Volterra symbols. We establish the properties of the symbolic and operational calculi, and we give and make use of explicit oscillatory integral formulas on the symbolic side. In particular, we investigate the kernel cut-off operator via direct oscillatory integral techniques purely on symbolic level. We discuss the notion of parabolic for the calculus of Volterra operators, and construct Volterra parametrices for parabolic operators within the calculus. T3 - Preprint - (2002) 01 Y1 - 2002 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-26200 ER - TY - INPR A1 - Krahé, Barbara A1 - Abbey, Antonia T1 - Intimate partner violence as a global problem - international and interdisciplinary perspectives T2 - International journal of conflict and violence N2 - This editorial introduces the Focus Section on Intimate Partner Violence (IPV) as a worldwide problem, which brings together six papers that are truly international and interdisciplinary. They provide insights into IPV from nine different cultures - China, Germany, Italy, Japan, Mexico, Northern Ireland, Sweden, Turkey, and the United States - from scholars in the fields of psychology, gender studies, political science, and economics. The first three papers look at how widespread the experience of IPV is among different groups of women, examine selected risk factors associated with heightened vulnerability to victimization, and discuss consequences of intimate partner victimization. Another two papers place the problem of IPV in the wider context of societal perceptions and attitudes about victims and perpetrators of IPV in different countries, whereas the last paper examines the role of individual differences in the management of emotions in the escalation or de-escalation of relationship conflict. In combination, the papers highlight the interplay between the macro level of social and cultural norms condoning the use of violence, the micro level of family relations and construction of couple relationships, and the individual level of attitudes and behaviors that precipitate IPV. Y1 - 2013 SN - 1864-1385 VL - 7 IS - 2 SP - 198 EP - 202 PB - Inst. for Interdisciplinary Conflict and Violence Research, Univ. of Bielefeld CY - Bielefeld ER - TY - INPR A1 - Krahé, Barbara T1 - Restoring the spirit of fair play in the debate about violent video games a comment on Elson and Ferguson (2013) T2 - EUROPEAN PSYCHOLOGIST N2 - This commentary argues that, rather than providing an "exhaustive review," Elson and Ferguson (2013) discuss a selective sample of empirical studies on violent video game use which corroborate their claim that there is no systematic evidence for a link between violent video game play and aggression. In evaluating the evidence, the authors portray a biased picture of the current state of knowledge about media violence effects. They fail to distinguish between aggression and violence and between everyday and clinical forms of aggression. Furthermore, they misrepresent key constructs, such as mediation, moderation, and external validity, to discredit methodologies used to assess aggression and media violence use. The paper moves the debate backward rather than forward, falling behind existing meta-analytic studies that consider a much wider and more balanced range of studies. KW - media violence KW - aggression KW - mediation KW - socialization effects Y1 - 2014 U6 - https://doi.org/10.1027/1016-9040/a000165 SN - 1016-9040 SN - 1878-531X VL - 19 IS - 1 SP - 56 EP - 59 PB - Hogrefe CY - Kirkland ER - TY - INPR A1 - Kosman, Admiʾel T1 - ״הישר והטוב״ - על הלכה ו״מטא-הלכה״ ומשמעותן האקטואלית : ''ועשית הישר והטוב'', דברים ו:יח T1 - “Right and good” – On Halakha and Meta-Halakha and the actual meaning of these terms today : "And thou shalt do that which is right and good" (Deuteronomy 6:18) N2 - Der Beitrag setzt sich mit der halachischen Bedeutung von Dtn. 6,18 im Kontext der heutigen Zeit auseinander. N2 - The article deals with the halakhic importance of Dtn. 6,18 in our times. KW - Judentum KW - Bibel KW - Dtn. 6:18 KW - Halacha KW - Judaism KW - Bibel KW - Dtn. 6:18 KW - Halakhah Y1 - 2010 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-48995 ER - TY - INPR A1 - Korkey, Michael Brian T1 - Optimal factorization of Muckenhoupt weights N2 - Peter Jones' theorem on the factorization of Ap weights is sharpened for weights with bounds near 1, allowing the factorization to be performed continuously near the limiting, unweighted case. When 1 < p < infinite and omega is an Ap weight with bound Ap(omega) = 1 + epsilon, it is shown that there exist Asub1 weights u, v such that both the formula omega = uv(1-p) and the estimates A1 (u), A1 (v) = 1 + Omikron (√epsilon) hold. The square root in these estimates is also proven to be the correct asymptotic power as epsilon -> 0. T3 - Preprint - (1998) 15 Y1 - 1998 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-25266 ER - TY - INPR A1 - Korey, Michael Brian T1 - A decomposition of functions with vanishing mean oscillation N2 - A function has vanishing mean oscillation (VMO) on R up(n) if its mean oscillation - the local average of its pointwise deviation from its mean value - both is uniformly bounded over all cubes within R up(n) and converges to zero with the volume of the cube. The more restrictive class of functions with vanishing lower oscillation (VLO) arises when the mean value is replaced by the minimum value in this definition. It is shown here that each VMO function is the difference of two functions in VLO. T3 - Preprint - (2001) 02 Y1 - 2001 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-25929 ER - TY - INPR A1 - Koppitz, Jörg A1 - Musunthia, Tiwadee T1 - Maximal subsemigroups containing a particular semigroup N2 - We study maximal subsemigroups of the monoid T(X) of all full transformations on the set X = N of natural numbers containing a given subsemigroup W of T(X), where each element of a given set U is a generator of T(X) modulo W. This note continues the study of maximal subsemigroups of the monoid of all full transformations on an infinite set. T3 - Preprints des Instituts für Mathematik der Universität Potsdam - 1 (2012) 8 Y1 - 2012 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-57465 ER - TY - INPR A1 - Kopetzki, Daniel A1 - Seeberger, Peter H. T1 - Photochemistry in fight against malaria T2 - Nachrichten aus der Chemie : Zeitschrift der Gesellschaft Deutscher Chemiker Y1 - 2012 SN - 1439-9598 SN - 1868-0054 VL - 60 IS - 7-8 SP - 714 EP - 717 PB - Ges. Dt. Chemiker CY - Frankfurt, Main ER - TY - INPR A1 - Kohler, Ulrich T1 - Maintaining quality T2 - Survey research methods N2 - Survey Research Methods has slightly revised its publication policies. Firstly, starting with the publication of this Editorial, SRM will accept - under specified conditions - manuscripts that discuss experiments in non-probability samples for peer-review. Secondly, SRM will require authors to publish replication materials of their study as Online supplement to their article. Finally, Survey Research Methods will publish replication studies of articles published in the journal. This Editorial gives reasons for these changes. KW - Editorial policies KW - non-probability samples KW - experiments KW - TOP-Guidelines Y1 - 2015 SN - 1864-3361 VL - 9 IS - 3 SP - 139 EP - 140 PB - European Survey Research Association CY - Duisburg ER - TY - INPR A1 - Klein, Markus A1 - Zitt, Pierre-André T1 - Resonances for a diffusion with small noise N2 - We study resonances for the generator of a diffusion with small noise in R(d) : L = -∈∆ + ∇F * ∇, when the potential F grows slowly at infinity (typically as a square root of the norm). The case when F grows fast is well known, and under suitable conditions one can show that there exists a family of exponentially small eigenvalues, related to the wells of F. We show that, for an F with a slow growth, the spectrum is R+, but we can find a family of resonances whose real parts behave as the eigenvalues of the "quick growth" case, and whose imaginary parts are small. T3 - Mathematische Statistik und Wahrscheinlichkeitstheorie : Preprint - 2008, 02 Y1 - 2008 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-49448 ER - TY - INPR A1 - Klein, Markus A1 - Rosenberger, Elke T1 - Tunneling for a class of difference operators N2 - We analyze a general class of difference operators containing a multi-well potential and a small parameter. We decouple the wells by introducing certain Dirichlet operators on regions containing only one potential well, and we treat the eigenvalue problem as a small perturbation of these comparison problems. We describe tunneling by a certain interaction matrix similar to the analysis for the Schrödinger operator, and estimate the remainder, which is exponentially small and roughly quadratic compared with the interaction matrix. T3 - Preprints des Instituts für Mathematik der Universität Potsdam - 1 (2012) 5 KW - semi-classical difference operator KW - tunneling KW - interaction matrix Y1 - 2012 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-56989 ER - TY - INPR A1 - Klein, Markus A1 - Léonard, Christian A1 - Rosenberger, Elke T1 - Agmon-type estimates for a class of jump processes N2 - In the limit we analyze the generators of families of reversible jump processes in the n-dimensional space associated with a class of symmetric non-local Dirichlet forms and show exponential decay of the eigenfunctions. The exponential rate function is a Finsler distance, given as solution of certain eikonal equation. Fine results are sensitive to the rate functions being twice differentiable or just Lipschitz. Our estimates are similar to the semiclassical Agmon estimates for differential operators of second order. They generalize and strengthen previous results on the lattice. T3 - Preprints des Instituts für Mathematik der Universität Potsdam - 1 (2012) 6 KW - finsler distance KW - decay of eigenfunctions KW - jump process KW - Dirichlet form Y1 - 2012 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-56995 ER - TY - INPR A1 - Kiselev, Oleg A1 - Tarkhanov, Nikolai Nikolaevich T1 - The capture of a particle into resonance at potential hole with dissipative perturbation N2 - We study the capture of a particle into resonance at a potential hole with dissipative perturbation and periodic outside force. The measure of resonance solutions is evaluated. We also derive an asymptotic formula for the parameter range of those solutions which are captured into resonance. T3 - Preprints des Instituts für Mathematik der Universität Potsdam - 2 (2013) 9 KW - Capture into resonance KW - small parameter KW - matching of asymptotic expansions Y1 - 2013 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-64725 SN - 2193-6943 ER - TY - INPR A1 - Kiselev, Oleg M. A1 - Tarkhanov, Nikolai Nikolaevich T1 - Scattering of autoresonance trajectories upon a separatrix N2 - We study asymptotic properties of solutions to the primary resonance equation with large amplitude on a long time interval. T3 - Preprints des Instituts für Mathematik der Universität Potsdam - 1 (2012) 2 Y1 - 2012 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-56880 ER - TY - INPR A1 - Keller, Peter A1 - Roelly, Sylvie A1 - Valleriani, Angelo T1 - A quasi-random-walk to model a biological transport process N2 - Transport Molecules play a crucial role for cell viability. Amongst others, linear motors transport cargos along rope-like structures from one location of the cell to another in a stochastic fashion. Thereby each step of the motor, either forwards or backwards, bridges a fixed distance. While moving along the rope the motor can also detach and is lost. We give here a mathematical formalization of such dynamics as a random process which is an extension of Random Walks, to which we add an absorbing state to model the detachment of the motor from the rope. We derive particular properties of such processes that have not been available before. Our results include description of the maximal distance reached from the starting point and the position from which detachment takes place. Finally, we apply our theoretical results to a concrete established model of the transport molecule Kinesin V. T3 - Preprints des Instituts für Mathematik der Universität Potsdam - 2 (2013) 3 KW - Markov chain KW - random walk KW - molecular motor KW - step process Y1 - 2013 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-63582 ER - TY - INPR A1 - Keller, Peter A1 - Roelly, Sylvie A1 - Valleriani, Angelo T1 - On time duality for quasi-birth-and-death processes N2 - We say that (weak/strong) time duality holds for continuous time quasi-birth-and-death-processes if, starting from a fixed level, the first hitting time of the next upper level and the first hitting time of the next lower level have the same distribution. We present here a criterion for time duality in the case where transitions from one level to another have to pass through a given single state, the so-called bottleneck property. We also prove that a weaker form of reversibility called balanced under permutation is sufficient for the time duality to hold. We then discuss the general case. T3 - Preprints des Instituts für Mathematik der Universität Potsdam - 1 (2012) 4 KW - continuous time Markov chain KW - hitting times KW - time duality KW - absorbing boundary Y1 - 2012 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-56973 ER - TY - INPR A1 - Keller, Peter T1 - Mathematical modeling of molecular motors N2 - Amongst the many complex processes taking place in living cells, transport of cargoes across the cytosceleton is fundamental to cell viability and activity. To move cargoes between the different cell parts, cells employ Molecular Motors. The motors operate by transporting cargoes along the so-called cellular micro-tubules, namely rope-like structures that connect, for instance, the cell-nucleus and outer membrane. We introduce a new Markov Chain, the killed Quasi-Random-Walk, for such transport molecules and derive properties like the maximal run length and time. Furthermore we introduce permuted balance, which is a more flexible extension of the ordinary reversibility and introduce the notion of Time Duality, which compares certain passage times pathwise. We give a number of sufficient conditions for Time Duality based on the geometry of the transition graph. Both notions are closely related to properties of the killed Quasi-Random-Walk. T3 - Preprints des Instituts für Mathematik der Universität Potsdam - 2 (2013) 1 KW - Markov chain KW - time duality KW - transition path theory KW - absorption KW - molecular motor Y1 - 2013 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-63045 ER - TY - INPR A1 - Keller, Peter T1 - Erzeugung gleichverteilter Stichproben von Lozenge-Teilungen mittels Kopplung von Markovketten N2 - Aus dem Inhalt: 1 Einleitung 2 Eigenschaften der Lozengeteilungen 3 Coupling From The Past (CFTP) 4 Simulation von uniform verteilten Lozengeteilungen 5 Programmlisting und Diskussion der Implementierung 6 Ausblick A Anhang T3 - Mathematische Statistik und Wahrscheinlichkeitstheorie : Preprint - 2009, 02 Y1 - 2009 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-49506 ER - TY - INPR A1 - Kehr, Jan-Christoph A1 - Dittmann-Thünemann, Elke T1 - Protective tunicate endosymbiont with extreme genome reduction T2 - Environmental microbiology Y1 - 2015 U6 - https://doi.org/10.1111/1462-2920.12941 SN - 1462-2912 SN - 1462-2920 VL - 17 IS - 10 SP - 3430 EP - 3432 PB - Wiley-Blackwell CY - Hoboken ER - TY - INPR A1 - Kaufmann, Liane A1 - Mazzocco, Michele M. A1 - Dowker, Ann A1 - von Aster, Michael G. A1 - Goebel, Silke M. A1 - Grabner, Roland H. A1 - Henik, Avishai A1 - Jordan, Nancy C. A1 - Karmiloff-Smith, Annette D. A1 - Kucian, Karin A1 - Rubinsten, Orly A1 - Szucs, Denes A1 - Shalev, Ruth A1 - Nuerk, Hans-Christoph T1 - Dyscalculia from a developmental and differential perspective T2 - Frontiers in psychology Y1 - 2013 U6 - https://doi.org/10.3389/fpsyg.2013.00516 SN - 1664-1078 VL - 4 IS - 2 PB - Frontiers Research Foundation CY - Lausanne ER - TY - INPR A1 - Kaufmann, Kerstin A1 - Busch, Wolfgang T1 - Plant genomics from weed to wheat T2 - Genome biology : biology for the post-genomic era N2 - A report on the first 'Plant Genomics Congress' meeting, held in London, UK, 12-13 May 2013. Y1 - 2013 U6 - https://doi.org/10.1186/gb-2013-14-6-308 SN - 1465-6906 SN - 1474-760X VL - 14 IS - 6 PB - BioMed Central CY - London ER - TY - INPR A1 - Karp, Lavi T1 - On the well-posedness of the vacuum Einstein's equations N2 - The Cauchy problem of the vacuum Einstein's equations aims to find a semimetric g(αβ) of a spacetime with vanishing Ricci curvature Rα,β and prescribed initial data. Under the harmonic gauge condition, the equations Rα,β = 0 are transferred into a system of quasi-linear wave equations which are called the reduced Einstein equations. The initial data for Einstein's equations are a proper Riemannian metric h(αβ) and a second fundamental form K(αβ). A necessary condition for the reduced Einstein equation to satisfy the vacuum equations is that the initial data satisfy Einstein constraint equations. Hence the data (h(αβ),K(αβ)) cannot serve as initial data for the reduced Einstein equations. Previous results in the case of asymptotically flat spacetimes provide a solution to the constraint equations in one type of Sobolev spaces, while initial data for the evolution equations belong to a different type of Sobolev spaces. The goal of our work is to resolve this incompatibility and to show that under the harmonic gauge the vacuum Einstein equations are well-posed in one type of Sobolev spaces. T3 - Preprint - (2009) 06 Y1 - 2009 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-36593 ER - TY - INPR A1 - Karp, Lavi T1 - On null quadrature domains N2 - The characterization of null quadrature domains in Rn (n ≥ 3) has been an open problem throughout the past two and a half decades. A substantial contribution was done by Friedman and Sakai [10]; they showed that if the complement is bounded, then null quadrature domains are exactly the complement of ellip- soids. The first result with unbounded complements appeared in [15], there it is assumed the complement is contained in an infinitely cylinder. The aim of this paper is to show the relation between null quadrature domains and Newton's theorem on the gravitational force induced by homogeneous homoeoidal ellipsoids. We also succeed to make progress in the classification problem and we show that if the boundary of null quadrature domain is contained in a strip and the complement satisfies a certain capacity condition at infinity, then it must be a half-space or a complement of a strip. In addition, we present a Phragm¶en-Lindelöf type theorem which seems to be forgotten in the literature. T3 - Preprint - (2006) 15 Y1 - 2006 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-30156 ER - TY - INPR A1 - Kapanadze, David A1 - Schulze, Bert-Wolfgang A1 - Witt, Ingo T1 - Coordinate invariance of the cone algebra with asymptotics N2 - The cone algebra with discrete asymptotics on a manifold with conical singularities is shown to be invariant under natural coordinate changes, where the symbol structure (i.e., the Fuchsian interior symbol, conormal symbols of all orders) follows a corresponding transformation rule. T3 - Preprint - (2000) 01 Y1 - 2000 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-25671 ER - TY - INPR A1 - Kapanadze, David A1 - Schulze, Bert-Wolfgang T1 - Boundary value problems on manifolds with exits to infinity N2 - We construct a new calculus of boundary value problems with the transmission property on a non-compact smooth manifold with boundary and conical exits to infinity. The symbols are classical both in covariables and variables. The operators are determined by principal symbol tuples modulo operators of lower orders and weights (such remainders are compact in weighted Sobolev spaces). We develop the concept of ellipticity, construct parametrices within the algebra and obtain the Fredholm property. For the existence of Shapiro-Lopatinskij elliptic boundary conditions to a given elliptic operator we prove an analogue of the Atiyah-Bott condition. T3 - Preprint - (2000) 06 KW - pseudo-differentialboundary value problems KW - elliptic operators on non-compact manifolds KW - Atiyah-Bott condition Y1 - 2000 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-25727 ER - TY - INPR A1 - Kapanadze, David A1 - Schulze, Bert-Wolfgang T1 - Pseudo-differential crack theory N2 - Crack problems are regarded as elements in a pseudo-differential algbra, where the two sdes int S± of the crack S are treated as interior boundaries and the boundary Y of the crack as an edge singularity. We employ the pseudo-differential calculus of boundary value problems with the transmission property near int S± and the edge pseudo-differential calculus (in a variant with Douglis-Nirenberg orders) to construct parametrices od elliptic crack problems (with extra trace and potential conditions along Y) and to characterise asymptotics of solutions near Y (expressed in the framework of continuous asymptotics). Our operator algebra with boundary and edge symbols contains new weight and order conventions that are necessary also for the more general calculus on manifolds with boundary and edges. T3 - Preprint - (2000) 09 KW - Crack theory KW - pseudo-differential boundary value problems KW - operator algebras on manifolds with singularities KW - conormal asymptotics Y1 - 2000 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-25759 ER - TY - INPR A1 - Kapanadze, David A1 - Schulze, Bert-Wolfgang T1 - Boundary-contact problems for domains with edge singularities N2 - We study boundary-contact problems for elliptic equations (and systems) with interfaces that have edge singularities. Such problems represent continuous operators between weighted edge spaces and subspaces with asymptotics. Ellipticity is formulated in terms of a principal symbolic hierarchy, containing interior, transmission, and edge symbols. We construct parametrices, show regularity with asymptotics of solutions in weighted edge spaces and illustrate the results by boundary-contact problems for the Laplacian with jumping coefficients. T3 - Preprint - (2005) 14 KW - Boundary-contact problems KW - pseudo-differential operators KW - edge spaces KW - asymptotics of solutions Y1 - 2005 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-29901 ER - TY - INPR A1 - Kapanadze, David A1 - Schulze, Bert-Wolfgang T1 - Symbolic calculus for boundary value problems on manifolds with edges N2 - Boundary value problems for (pseudo-) differential operators on a manifold with edges can be characterised by a hierarchy of symbols. The symbol structure is responsible or ellipicity and for the nature of parametrices within an algebra of "edge-degenerate" pseudo-differential operators. The edge symbol component of that hierarchy takes values in boundary value problems on an infinite model cone, with edge variables and covariables as parameters. Edge symbols play a crucial role in this theory, in particular, the contribution with holomorphic operatot-valued Mellin symbols. We establish a calculus in s framework of "twisted homogenity" that refers to strongly continuous groups of isomorphisms on weighted cone Sobolev spaces. We then derive an equivalent representation with a particularly transparent composition behaviour. T3 - Preprint - (2001) 21 KW - pseudo-differential boundary value problems KW - operators on manifolds with singularities Y1 - 2001 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-26046 ER - TY - INPR A1 - Kapanadze, David A1 - Schulze, Bert-Wolfgang T1 - Asymptotics of potentials in the edge calculus N2 - Boundary value problems on manifolds with conical singularities or edges contain potential operators as well as trace and Green operators which play a similar role as the corresponding operators in (pseudo-differential) boundary value problems on a smooth manifold. There is then a specific asymptotic behaviour of these operators close to the singularities. We characterise potential operators in terms of actions of cone or edge pseudo-differential operators (in the neighbouring space) on densities supported by sbmanifolds which also have conical or edge singularities. As a byproduct we show the continuity of such potentials as continuous perators between cone or edge Sobolev spaces and subspaces with asymptotics. T3 - Preprint - (2003) 05 KW - Surface potentials with asymptotics KW - edge Sobolev spaces KW - operators on manifolds with conical and edge singularities Y1 - 2003 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-26530 ER -