TY - INPR A1 - Alsaedy, Ammar A1 - Tarkhanov, Nikolai Nikolaevich T1 - The method of Fischer-Riesz equations for elliptic boundary value problems N2 - We develop the method of Fischer-Riesz equations for general boundary value problems elliptic in the sense of Douglis-Nirenberg. To this end we reduce them to a boundary problem for a (possibly overdetermined) first order system whose classical symbol has a left inverse. For such a problem there is a uniquely determined boundary value problem which is adjoint to the given one with respect to the Green formula. On using a well elaborated theory of approximation by solutions of the adjoint problem, we find the Cauchy data of solutions of our problem. T3 - Preprints des Instituts für Mathematik der Universität Potsdam - 1(2012)24 KW - Boundary value problems for first order systems KW - Green formula KW - Fischer-Riesz equations KW - regularisation Y1 - 2012 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-61792 ER - TY - INPR A1 - Alsaedy, Ammar A1 - Tarkhanov, Nikolai Nikolaevich T1 - Spectral projection for the dbar-Neumann problem N2 - We show that the spectral kernel function of the dbar-Neumann problem on a non-compact strongly pseudoconvex manifold is smooth up to the boundary. T3 - Preprints des Instituts für Mathematik der Universität Potsdam - 1(2012)12 KW - dbar-Neumann problem KW - strongly pseudoconvex domains KW - spectral kernel function Y1 - 2012 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-58616 SN - 2193-6943 ER - TY - INPR A1 - Antoniouk, Alexandra Viktorivna A1 - Kiselev, Oleg A1 - Stepanenko, Vitaly A1 - Tarkhanov, Nikolai Nikolaevich T1 - Asymptotic solutions of the Dirichlet problem for the heat equation at a characteristic point N2 - The Dirichlet problem for the heat equation in a bounded domain is characteristic, for there are boundary points at which the boundary touches a characteristic hyperplane t = c, c being a constant. It was I.G. Petrovskii (1934) who first found necessary and sufficient conditions on the boundary which guarantee that the solution is continuous up to the characteristic point, provided that the Dirichlet data are continuous. This paper initiated standing interest in studying general boundary value problems for parabolic equations in bounded domains. We contribute to the study by constructing a formal solution of the Dirichlet problem for the heat equation in a neighbourhood of a characteristic boundary point and showing its asymptotic character. T3 - Preprints des Instituts für Mathematik der Universität Potsdam - 1(2012)25 KW - Heat equation KW - the first boundary value problem KW - characteristic boundary point KW - cusp Y1 - 2012 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-61987 ER - TY - INPR A1 - Baret, Jean-Christophe A1 - Belder, Detlev A1 - Bier, Frank Fabian A1 - Cao, Jialan A1 - Gruschke, Oliver A1 - Hardt, Steffen A1 - Kirschbaum, Michael A1 - Koehler, J. Michael A1 - Schumacher, Soeren A1 - Urban, G. A. A1 - Viefhues, Martina T1 - Contributors to the 10th Anniversary Germany issue T2 - LAB on a chip : miniaturisation for chemistry and biology Y1 - 2012 U6 - https://doi.org/10.1039/c1lc90139g SN - 1473-0197 VL - 12 IS - 3 SP - 419 EP - 421 PB - Royal Society of Chemistry CY - Cambridge ER - TY - INPR A1 - Baur, Heiner A1 - Hoffmann, Jan A1 - Reichmuth, Anne A1 - Müller, Steffen A1 - Mayer, Frank T1 - Influence of carbon fiber foot orthoses on plantar pressure distribution in cycling T2 - Sportverletzung, Sportschaden : Grundlagen, Prävention, Rehabilitation N2 - Background: Several equipment interventions like optimizing seat position or optimizing shoe/insole/pedal interface are suggested to reduce overuse injury in cycling. Data analyzing clinical or biomechanical effects of those interventions is sparse. Foot orthoses out of carbon fiber are one possibility to alter the interface between foot and pedal. The aim of this study was therefore to analyze plantar pressure distribution in carbon fiber foot orthoses in comparison to standard insoles of commercially available cycling shoes. Materials and Methods: 11 pain-free triathletes (Age: 29 +/- 9, 1.77 +/- 0.04 m, 68 5 kg) were tested on a cycle ergometer at 60 and 90 rotations per minute (rpm) at workloads of 200 and 300 Watts. Subjects wore in randomized order a cycling shoe with its standard insole (control condition CO) or the shoe with carbon fiber foot orthoses (Condition CA). Mean peak pressure out of 30 movement cycles were extracted for the total foot and specific foot regions (rear, mid, fore foot (medial, central, lateral) and toe region). Three-factor ANOVAs (factor foot orthoses, rpm, workload) for repeated measures (alpha = 0.05) were used to analyze the main question of a foot orthoses effect on peak in-shoe plantar pressure. Results: Peak pressures in the total foot were in a range of 70-75 kPa for 200 Watts (W) (300 W: 85-110 kPa). The carbon fiber foot orthoses reduced peak pressures by -4,1% compared to the standard insole (p = 0,10). In the foot regions rear(-16,6%, p<0.001), mid (-20,0%, p<0.001) and fore foot (-5.9%, p < 0.03)CA reduced peak pressure compared to CO. In the toe region, peak pressure was higher in CA (+16,2%) compared to CO (p<0,001). The lateral fore foot showed higher peak pressures in CA (+34%) and CO (+59%) compared to medial and central fore foot. Conclusion: Carbon fiber can serve as a suitable material for foot orthoses manufacturing in cycling. Plantar pressures do not increase due to the stiffness of the carbon. Individual customization may have the potential to reduce peak pressure in certain foot areas. KW - Carbon KW - Cycling KW - Foot orthoses KW - In-shoe measurement KW - Plantar Pressure Distribution Y1 - 2012 SN - 0932-0555 VL - 26 IS - 1 SP - 12 EP - 17 PB - Thieme CY - Stuttgart ER - TY - INPR A1 - Blanchard, Gilles A1 - Delattre, Sylvain A1 - Roquain, Étienne T1 - Testing over a continuum of null hypotheses N2 - We introduce a theoretical framework for performing statistical hypothesis testing simultaneously over a fairly general, possibly uncountably infinite, set of null hypotheses. This extends the standard statistical setting for multiple hypotheses testing, which is restricted to a finite set. This work is motivated by numerous modern applications where the observed signal is modeled by a stochastic process over a continuum. As a measure of type I error, we extend the concept of false discovery rate (FDR) to this setting. The FDR is defined as the average ratio of the measure of two random sets, so that its study presents some challenge and is of some intrinsic mathematical interest. Our main result shows how to use the p-value process to control the FDR at a nominal level, either under arbitrary dependence of p-values, or under the assumption that the finite dimensional distributions of the p-value process have positive correlations of a specific type (weak PRDS). Both cases generalize existing results established in the finite setting, the latter one leading to a less conservative procedure. The interest of this approach is demonstrated in several non-parametric examples: testing the mean/signal in a Gaussian white noise model, testing the intensity of a Poisson process and testing the c.d.f. of i.i.d. random variables. Conceptually, an interesting feature of the setting advocated here is that it focuses directly on the intrinsic hypothesis space associated with a testing model on a random process, without referring to an arbitrary discretization. T3 - Preprints des Instituts für Mathematik der Universität Potsdam - 1 (2012) 1 Y1 - 2012 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-56877 ER - TY - INPR A1 - Blanchard, Gilles A1 - Mathé, Peter T1 - Discrepancy principle for statistical inverse problems with application to conjugate gradient iteration N2 - The authors discuss the use of the discrepancy principle for statistical inverse problems, when the underlying operator is of trace class. Under this assumption the discrepancy principle is well defined, however a plain use of it may occasionally fail and it will yield sub-optimal rates. Therefore, a modification of the discrepancy is introduced, which takes into account both of the above deficiencies. For a variety of linear regularization schemes as well as for conjugate gradient iteration this modification is shown to yield order optimal a priori error bounds under general smoothness assumptions. A posteriori error control is also possible, however at a sub-optimal rate, in general. This study uses and complements previous results for bounded deterministic noise. T3 - Preprints des Instituts für Mathematik der Universität Potsdam - 1 (2012) 7 Y1 - 2012 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-57117 ER - TY - INPR A1 - Bär, Christian T1 - Renormalized integrals and a path integral formula for the heat kernel on a manifold N2 - We introduce renormalized integrals which generalize conventional measure theoretic integrals. One approximates the integration domain by measure spaces and defines the integral as the limit of integrals over the approximating spaces. This concept is implicitly present in many mathematical contexts such as Cauchy's principal value, the determinant of operators on a Hilbert space and the Fourier transform of an L^p function. We use renormalized integrals to define a path integral on manifolds by approximation via geodesic polygons. The main part of the paper is dedicated to the proof of a path integral formula for the heat kernel of any self-adjoint generalized Laplace operator acting on sections of a vector bundle over a compact Riemannian manifold. T3 - Preprints des Instituts für Mathematik der Universität Potsdam - 1(2012)21 KW - Renormalized integral KW - path integral KW - Feynman-Kac formula KW - generalized Laplace operator KW - Riemannian manifold Y1 - 2012 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-60052 ER - TY - INPR A1 - Bär, Christian T1 - Some properties of solutions to weakly hypoelliptic equations N2 - A linear differential operator L is called weakly hypoelliptic if any local solution u of Lu = 0 is smooth. We allow for systems, i.e. the coefficients may be matrices, not necessarily of square size. This is a huge class of important operators which covers all elliptic, overdetermined elliptic, subelliptic and parabolic equations. We extend several classical theorems from complex analysis to solutions of any weakly hypoelliptic equation: the Montel theorem providing convergent subsequences, the Vitali theorem ensuring convergence of a given sequence, and Riemann's first removable singularity theorem. In the case of constant coefficients we show that Liouville's theorem holds, any bounded solution must be constant and any L^p solution must vanish. T3 - Preprints des Instituts für Mathematik der Universität Potsdam - 1(2012)22 KW - Hypoelliptic operators KW - hypoelliptic estimate KW - Montel theorem KW - Vitali theorem KW - Liouville theorem Y1 - 2012 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-60064 ER - TY - INPR A1 - Bär, Christian A1 - Ballmann, Werner T1 - Boundary value problems for elliptic differential operators of first order N2 - We study boundary value problems for linear elliptic differential operators of order one. The underlying manifold may be noncompact, but the boundary is assumed to be compact. We require a symmetry property of the principal symbol of the operator along the boundary. This is satisfied by Dirac type operators, for instance. We provide a selfcontained introduction to (nonlocal) elliptic boundary conditions, boundary regularity of solutions, and index theory. In particular, we simplify and generalize the traditional theory of elliptic boundary value problems for Dirac type operators. We also prove a related decomposition theorem, a general version of Gromov and Lawson's relative index theorem and a generalization of the cobordism theorem. T3 - Preprints des Instituts für Mathematik der Universität Potsdam - 1(2012)18 KW - Elliptic operators KW - elliptic boundary conditions KW - completeness KW - coercivity KW - boundary regularity Y1 - 2012 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-60023 ER - TY - INPR A1 - Bär, Christian A1 - Ginoux, Nicolas T1 - Classical and quantum fields on Lorentzian manifolds N2 - We construct bosonic and fermionic locally covariant quantum fields theories on curved backgrounds for large classes of fields. We investigate the quantum field and n-point functions induced by suitable states. T3 - Preprints des Instituts für Mathematik der Universität Potsdam - 1(2012)15 KW - Wave operator KW - Dirac-type operator KW - globally hyperbolic spacetime KW - Green's operator KW - CCR-algebra Y1 - 2012 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-59973 ER - TY - INPR A1 - Bär, Christian A1 - Pfäffle, Frank T1 - Wiener measures on Riemannian manifolds and the Feynman-Kac formula N2 - This is an introduction to Wiener measure and the Feynman-Kac formula on general Riemannian manifolds for Riemannian geometers with little or no background in stochastics. We explain the construction of Wiener measure based on the heat kernel in full detail and we prove the Feynman-Kac formula for Schrödinger operators with bounded potentials. We also consider normal Riemannian coverings and show that projecting and lifting of paths are inverse operations which respect the Wiener measure. T3 - Preprints des Instituts für Mathematik der Universität Potsdam - 1(2012)17 KW - Wiener measure KW - conditional Wiener measure KW - Brownian motion KW - Brownian bridge KW - Riemannian manifold Y1 - 2012 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-59998 ER - TY - INPR A1 - Bühler, Markus J. A1 - Rabu, Pierre A1 - Taubert, Andreas T1 - Advanced hybrid materials - design and applications T2 - European journal of inorganic chemistry : a journal of ChemPubSoc Europe Y1 - 2012 U6 - https://doi.org/10.1002/ejic.201201263 SN - 1434-1948 IS - 32 SP - 5092 EP - 5093 PB - Wiley-VCH CY - Weinheim ER - TY - INPR A1 - Caliendo, Marco A1 - Kritikos, Alexander T1 - Searching for the entrepreneurial personality New evidence and avenues for further research T2 - Journal of economic psychology : research in economic psychology and behavioral economics Y1 - 2012 U6 - https://doi.org/10.1016/j.joep.2011.06.001 SN - 0167-4870 VL - 33 IS - 2 SP - 319 EP - 324 PB - Elsevier CY - Amsterdam ER - TY - INPR A1 - D'Aprile, Iwan-Michelangelo T1 - Friedrich 300 (1712-2012) a balance between T2 - Zeitschrift für Germanistik Y1 - 2012 SN - 0323-7982 VL - 22 IS - 2 SP - 388 EP - 392 PB - Lang CY - Bern ER - TY - INPR A1 - Dumas, Marlon A1 - Recker, Jan A1 - Weske, Mathias T1 - Management and engineering of process-aware information systems: Introduction to the special issue T2 - INFORMATION SYSTEMS Y1 - 2012 U6 - https://doi.org/10.1016/j.is.2011.09.003 SN - 0306-4379 VL - 37 IS - 2 SP - 77 EP - 79 PB - PERGAMON-ELSEVIER SCIENCE LTD CY - OXFORD ER - TY - INPR A1 - Dyachenko, Evgueniya A1 - Tarkhanov, Nikolai Nikolaevich T1 - Degeneration of boundary layer at singular points N2 - We study the Dirichlet problem in a bounded plane domain for the heat equation with small parameter multiplying the derivative in t. The behaviour of solution at characteristic points of the boundary is of special interest. The behaviour is well understood if a characteristic line is tangent to the boundary with contact degree at least 2. We allow the boundary to not only have contact of degree less than 2 with a characteristic line but also a cuspidal singularity at a characteristic point. We construct an asymptotic solution of the problem near the characteristic point to describe how the boundary layer degenerates. T3 - Preprints des Instituts für Mathematik der Universität Potsdam - 1(2012)23 KW - Heat equation KW - Dirichlet problem KW - characteristic points KW - boundary layer Y1 - 2012 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-60135 ER - TY - INPR A1 - Eckstein, Lars T1 - ‘We’re destroyed if we mix. And we’re destroyed if we don’t’ BT - indigeneity in the modern World system and the politics of Tricksterese in Pauline Melville’s The Ventriloquist’s Tale Y1 - 2012 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-85529 ER - TY - INPR A1 - Fischer, Martin H. A1 - Kaufmann, Liane A1 - Domahs, Frank T1 - Finger counting and numerical cognition T2 - Frontiers in psychology Y1 - 2012 U6 - https://doi.org/10.3389/fpsyg.2012.00108 SN - 1664-1078 VL - 3 PB - Frontiers Research Foundation CY - Lausanne ER - TY - INPR A1 - Grudsky, Serguey A1 - Tarkhanov, Nikolai Nikolaevich T1 - Conformal reduction of boundary problems for harmonic functions in a plane domain with strong singularities on the boundary N2 - We consider the Dirichlet, Neumann and Zaremba problems for harmonic functions in a bounded plane domain with nonsmooth boundary. The boundary curve belongs to one of the following three classes: sectorial curves, logarithmic spirals and spirals of power type. To study the problem we apply a familiar method of Vekua-Muskhelishvili which consists in using a conformal mapping of the unit disk onto the domain to pull back the problem to a boundary problem for harmonic functions in the disk. This latter is reduced in turn to a Toeplitz operator equation on the unit circle with symbol bearing discontinuities of second kind. We develop a constructive invertibility theory for Toeplitz operators and thus derive solvability conditions as well as explicit formulas for solutions. T3 - Preprints des Instituts für Mathematik der Universität Potsdam - 1(2012)10 KW - singular integral equations KW - nonsmooth curves KW - boundary value problems Y1 - 2012 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-57745 ER - TY - INPR A1 - Heimsath, Arjun M. A1 - Korup, Oliver T1 - Quantifying rates and processes of landscape evolution T2 - Earth surface processes and landforms : the journal of the British Geomorphological Research Group Y1 - 2012 U6 - https://doi.org/10.1002/esp.2251 SN - 0197-9337 VL - 37 IS - 2 SP - 249 EP - 251 PB - Wiley-Blackwell CY - Malden 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 - 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 - 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 - 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 - 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 - 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 - 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 - 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 - 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 - 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 - Mayer, Frank T1 - Frequency of sport injuries and stress-related conditions in top-class Sport T2 - Der Orthopäde Y1 - 2012 U6 - https://doi.org/10.1007/s00132-012-1971-2 SN - 0085-4530 VL - 41 IS - 7 SP - 560 EP - 560 PB - Springer CY - New York ER - TY - INPR A1 - Michaelis, Beatrice A1 - Dietze, Gabriele A1 - Yekani, Elahe Haschemi T1 - The queerness of things not queer - entgrenzungen - Affekte und Materialitäten - Interventionen T2 - Feministische Studien : Zeitschrift für interdisziplinäre Frauen- und Geschlechterforschung Y1 - 2012 SN - 0723-5186 VL - 30 IS - 2 SP - 184 EP - 197 PB - Lucius & Lucius CY - Stuttgart ER - TY - INPR A1 - Murr, Rüdiger T1 - Reciprocal classes of Markov processes : an approach with duality formulae N2 - In this work we are concerned with the characterization of certain classes of stochastic processes via duality formulae. First, we introduce a new formulation of a characterization of processes with independent increments, which is based on an integration by parts formula satisfied by infinitely divisible random vectors. Then we focus on the study of the reciprocal classes of Markov processes. These classes contain all stochastic processes having the same bridges, and thus similar dynamics, as a reference Markov process. We start with a resume of some existing results concerning the reciprocal classes of Brownian diffusions as solutions of duality formulae. As a new contribution, we show that the duality formula satisfied by elements of the reciprocal class of a Brownian diffusion has a physical interpretation as a stochastic Newton equation of motion. In the context of pure jump processes we derive the following new results. We will analyze the reciprocal classes of Markov counting processes and characterize them as a group of stochastic processes satisfying a duality formula. This result is applied to time-reversal of counting processes. We are able to extend some of these results to pure jump processes with different jump-sizes, in particular we are able to compare the reciprocal classes of Markov pure jump processes through a functional equation between the jump-intensities. T3 - Preprints des Instituts für Mathematik der Universität Potsdam - 1(2012)26 KW - Duality formula KW - reciprocal class KW - Levy process KW - infinite divisibility KW - counting process KW - Malliavin calculus Y1 - 2012 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-63018 ER - TY - INPR A1 - Nehring, Benjamin T1 - Construction of point processes for classical and quantum gases N2 - We propose a new construction of point processes, which generalizes the class of infinitely divisible point processes. Examples are the quantum Boson and Fermion gases as well as the classical Gibbs point processes, where the interaction is given by a stable and regular pair potential. T3 - Preprints des Instituts für Mathematik der Universität Potsdam - 1(2012)14 KW - Gibbs point processes KW - permanental- KW - determinantal point processes KW - cluster expansion KW - Lévy measure KW - infinitely divisible point processes Y1 - 2012 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-59648 ER - TY - INPR A1 - Neumann, Mike T1 - 15 years younger chemists GDCh-Forum - the Future firmly in sight T2 - Chemie in unserer Zeit Y1 - 2012 U6 - https://doi.org/10.1002/ciuz.201290028 SN - 0009-2851 VL - 46 IS - 3 SP - 131 EP - 131 PB - Wiley-VCH CY - Weinheim ER - TY - INPR A1 - Pfäffle, Frank A1 - Stephan, Christoph A. T1 - On gravity, torsion and the spectral action principle N2 - We consider compact Riemannian spin manifolds without boundary equipped with orthogonal connections. We investigate the induced Dirac operators and the associated commutative spectral triples. In case of dimension four and totally anti-symmetric torsion we compute the Chamseddine-Connes spectral action, deduce the equations of motions and discuss critical points. T3 - Preprints des Instituts für Mathematik der Universität Potsdam - 1(2012)16 Y1 - 2012 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-59989 SN - 2193-6943 ER - TY - INPR A1 - Pfäffle, Frank A1 - Stephan, Christoph A. T1 - The Holst action by the spectral action principle N2 - We investigate the Holst action for closed Riemannian 4-manifolds with orthogonal connections. For connections whose torsion has zero Cartan type component we show that the Holst action can be recovered from the heat asymptotics for the natural Dirac operator acting on left-handed spinor fields. T3 - Preprints des Instituts für Mathematik der Universität Potsdam - 1(2012)19 Y1 - 2012 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-60032 ER - TY - INPR A1 - Pfäffle, Frank A1 - Stephan, Christoph A. T1 - Chiral asymmetry and the spectral action N2 - We consider orthogonal connections with arbitrary torsion on compact Riemannian manifolds. For the induced Dirac operators, twisted Dirac operators and Dirac operators of Chamseddine-Connes type we compute the spectral action. In addition to the Einstein-Hilbert action and the bosonic part of the Standard Model Lagrangian we find the Holst term from Loop Quantum Gravity, a coupling of the Holst term to the scalar curvature and a prediction for the value of the Barbero-Immirzi parameter. T3 - Preprints des Instituts für Mathematik der Universität Potsdam - 1(2012)20 Y1 - 2012 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-60046 ER - TY - INPR A1 - Rattana, Amornrat A1 - Böckmann, Christine T1 - Matrix methods for computing Eigenvalues of Sturm-Liouville problems of order four N2 - This paper examines and develops matrix methods to approximate the eigenvalues of a fourth order Sturm-Liouville problem subjected to a kind of fixed boundary conditions, furthermore, it extends the matrix methods for a kind of general boundary conditions. The idea of the methods comes from finite difference and Numerov's method as well as boundary value methods for second order regular Sturm-Liouville problems. Moreover, the determination of the correction term formulas of the matrix methods are investigated in order to obtain better approximations of the problem with fixed boundary conditions since the exact eigenvalues for q = 0 are known in this case. Finally, some numerical examples are illustrated. T3 - Preprints des Instituts für Mathematik der Universität Potsdam - 1(2012)13 KW - Finite difference method KW - Numerov's method KW - Boundary value methods KW - Fourth order Sturm-Liouville problem KW - Eigenvalues Y1 - 2012 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-59279 ER - TY - INPR A1 - Scherf, Ullrich A1 - Tian, He T1 - Organic electronics/optics for an energetic life T2 - Advanced materials Y1 - 2012 U6 - https://doi.org/10.1002/adma.201104917 SN - 0935-9648 VL - 24 IS - 5 SP - 576 EP - 579 PB - Wiley-Blackwell CY - Malden ER - TY - INPR A1 - Schröder, Peter A1 - Asbach, Olaf A1 - Breckman, Warren A1 - Bourke, Richard A1 - Busen, Andreas A1 - D'Aprile, Iwan-Michelangelo A1 - Hunter, Ian T1 - History of political thought T2 - German history : the journal of the German History Societ Y1 - 2012 U6 - https://doi.org/10.1093/gerhis/ghr126 SN - 0266-3554 VL - 30 IS - 1 SP - 75 EP - 99 PB - Oxford Univ. Press CY - Oxford ER - TY - INPR A1 - Shlapunov, Alexander A1 - Tarkhanov, Nikolai Nikolaevich T1 - On completeness of root functions of Sturm-Liouville problems with discontinuous boundary operators N2 - We consider a Sturm-Liouville boundary value problem in a bounded domain D of R^n. By this is meant that the differential equation is given by a second order elliptic operator of divergent form in D and the boundary conditions are of Robin type on bD. The first order term of the boundary operator is the oblique derivative whose coefficients bear discontinuities of the first kind. Applying the method of weak perturbation of compact self-adjoint operators and the method of rays of minimal growth, we prove the completeness of root functions related to the boundary value problem in Lebesgue and Sobolev spaces of various types. T3 - Preprints des Instituts für Mathematik der Universität Potsdam - 1(2012)11 KW - Sturm-Liouville problems KW - discontinuous Robin condition KW - root functions KW - Lipschitz domains Y1 - 2012 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-57759 SN - 2193-6943 ER - TY - INPR A1 - Springer, Anne A1 - Hamilton, Antonia F. de C. A1 - Cross, Emily S. T1 - Simulating and predicting others' actions T2 - Psychological research : an international journal of perception, attention, memory, and action Y1 - 2012 U6 - https://doi.org/10.1007/s00426-012-0443-y SN - 0340-0727 VL - 76 IS - 4 SP - 383 EP - 387 PB - Springer CY - Heidelberg ER - TY - INPR A1 - Sprinz, Detlef F. T1 - Long-Term environmental policy challenges for research T2 - The journal of environment & development : a review of international policy N2 - Long-term policy issues are a particularly vexing class of environmental policy issues which merit increasing attention due to the long-time horizons involved, the incongruity with political cycles, and the challenges for collective action. Following the definition of long-term environmental policy challenges, I pose three questions as challenges for future research, namely 1. Are present democracies well suited to cope with long-term policy challenges? 2. Are top-down or bottom-up solutions to long-term environmental policy challenges advisable? 3. Will mitigation and adaptation of environmental challenges suffice? In concluding, the contribution raises the issue of credible commitment for long-term policy issues and potential design options. KW - anniversary issue KW - long-term policy KW - definition KW - design options KW - environmental policy Y1 - 2012 U6 - https://doi.org/10.1177/1070496511435667 SN - 1070-4965 VL - 21 IS - 1 SP - 67 EP - 70 PB - Sage Publ. CY - Thousand Oaks ER - TY - INPR A1 - Tarkhanov, Nikolai Nikolaevich T1 - A simple numerical approach to the Riemann hypothesis N2 - The Riemann hypothesis is equivalent to the fact the the reciprocal function 1/zeta (s) extends from the interval (1/2,1) to an analytic function in the quarter-strip 1/2 < Re s < 1 and Im s > 0. Function theory allows one to rewrite the condition of analytic continuability in an elegant form amenable to numerical experiments. T3 - Preprints des Instituts für Mathematik der Universität Potsdam - 1 (2012) 9 Y1 - 2012 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-57645 SN - 2193-6943 ER - TY - INPR A1 - Tarkhanov, Nikolai Nikolaevich A1 - Wallenta, Daniel T1 - The Lefschetz number of sequences of trace class curvature N2 - For a sequence of Hilbert spaces and continuous linear operators the curvature is defined to be the composition of any two consecutive operators. This is modeled on the de Rham resolution of a connection on a module over an algebra. Of particular interest are those sequences for which the curvature is "small" at each step, e.g., belongs to a fixed operator ideal. In this context we elaborate the theory of Fredholm sequences and show how to introduce the Lefschetz number. T3 - Preprints des Instituts für Mathematik der Universität Potsdam - 1 (2012) 3 KW - Perturbed complexes KW - curvature KW - Lefschetz number Y1 - 2012 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-56969 ER - TY - INPR A1 - Wannicke, Nicola A1 - Endres, S. A1 - Engel, A. A1 - Grossart, Hans-Peter A1 - Nausch, M. A1 - Unger, J. A1 - Voss, Martin T1 - Response of nodularia spumigena to pCO(2) - Part 1: Growth, production and nitrogen cycling T2 - Biogeosciences N2 - Heterocystous cyanobacteria of the genus Nodularia form extensive blooms in the Baltic Sea and contribute substantially to the total annual primary production. Moreover, they dispense a large fraction of new nitrogen to the ecosystem when inorganic nitrogen concentration in summer is low. Thus, it is of ecological importance to know how Nodularia will react to future environmental changes, in particular to increasing carbon dioxide (CO2) concentrations and what consequences there might arise for cycling of organic matter in the Baltic Sea. Here, we determined carbon (C) and dinitrogen (N-2) fixation rates, growth, elemental stoichiometry of particulate organic matter and nitrogen turnover in batch cultures of the heterocystous cyanobacterium Nodularia spumigena under low (median 315 mu atm), mid (median 353 mu atm), and high (median 548 mu atm) CO2 concentrations. Our results demonstrate an overall stimulating effect of rising pCO(2) on C and N-2 fixation, as well as on cell growth. An increase in pCO(2) during incubation days 0 to 9 resulted in an elevation in growth rate by 84 +/- 38% (low vs. high pCO(2)) and 40 +/- 25% (mid vs. high pCO(2)), as well as in N-2 fixation by 93 +/- 35% and 38 +/- 1%, respectively. C uptake rates showed high standard deviations within treatments and in between sampling days. Nevertheless, C fixation in the high pCO(2) treatment was elevated compared to the other two treatments by 97% (high vs. low) and 44% (high vs. mid) at day 0 and day 3, but this effect diminished afterwards. Additionally, elevation in carbon to nitrogen and nitrogen to phosphorus ratios of the particulate biomass formed (POC : POP and PON : POP) was observed at high pCO(2). Our findings suggest that rising pCO(2) stimulates the growth of heterocystous diazotrophic cyanobacteria, in a similar way as reported for the non-heterocystous diazotroph Trichodesmium. Implications for biogeochemical cycling and food web dynamics, as well as ecological and socio-economical aspects in the Baltic Sea are discussed. Y1 - 2012 U6 - https://doi.org/10.5194/bg-9-2973-2012 SN - 1726-4170 VL - 9 IS - 8 SP - 2973 EP - 2988 PB - Copernicus CY - Göttingen ER - TY - INPR A1 - Weske, Mathias A1 - Yang, Jian A1 - Maglio, Paul P. T1 - Special issue service oriented computing (ICSOC) guest editors' introduction T2 - International journal of cooperative information systems Y1 - 2012 U6 - https://doi.org/10.1142/S0218843012020017 SN - 0218-8430 VL - 21 IS - 1 SP - 1 EP - 2 PB - World Scientific CY - Singapore ER -