@unpublished{Popivanov2004, author = {Popivanov, Petăr R.}, title = {Lorenz transformations and creation of logarithmic singularities to the solutions of some nonstrictly hyperbolic semilinear systems with two space variables}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-26710}, year = {2004}, language = {en} } @unpublished{PolkovnikovTarkhanov2017, author = {Polkovnikov, Alexander and Tarkhanov, Nikolai Nikolaevich}, title = {A Riemann-Hilbert problem for the Moisil-Teodorescu system}, volume = {6}, number = {3}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus4-397036}, pages = {31}, year = {2017}, abstract = {In a bounded domain with smooth boundary in R^3 we consider the stationary Maxwell equations for a function u with values in R^3 subject to a nonhomogeneous condition (u,v)_x = u_0 on the boundary, where v is a given vector field and u_0 a function on the boundary. We specify this problem within the framework of the Riemann-Hilbert boundary value problems for the Moisil-Teodorescu system. This latter is proved to satisfy the Shapiro-Lopaniskij condition if an only if the vector v is at no point tangent to the boundary. The Riemann-Hilbert problem for the Moisil-Teodorescu system fails to possess an adjoint boundary value problem with respect to the Green formula, which satisfies the Shapiro-Lopatinskij condition. We develop the construction of Green formula to get a proper concept of adjoint boundary value problem.}, language = {en} } @unpublished{PikovskijZaksFeudeletal.1995, author = {Pikovskij, Arkadij and Zaks, Michael A. and Feudel, Ulrike and Kurths, J{\"u}rgen}, title = {Singular continuous spectra in dissipative dynamics}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-13787}, year = {1995}, abstract = {We demonstrate the occurrence of regimes with singular continuous (fractal) Fourier spectra in autonomous dissipative dynamical systems. The particular example in an ODE system at the accumulation points of bifurcation sequences associated to the creation of complicated homoclinic orbits. Two different machanisms responsible for the appearance of such spectra are proposed. In the first case when the geometry of the attractor is symbolically represented by the Thue-Morse sequence, both the continuous-time process and its descrete Poincar{\´e} map have singular power spectra. The other mechanism owes to the logarithmic divergence of the first return times near the saddle point; here the Poincar{\´e} map possesses the discrete spectrum, while the continuous-time process displays the singular one. A method is presented for computing the multifractal characteristics of the singular continuous spectra with the help of the usual Fourier analysis technique.}, language = {en} } @unpublished{PikovskijFeudel1994, author = {Pikovskij, Arkadij and Feudel, Ulrike}, title = {Characterizing strange nonchaotic attractors}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-13405}, year = {1994}, abstract = {Strange nonchaotic attractors typically appear in quasiperiodically driven nonlinear systems. Two methods of their characterization are proposed. The first one is based on the bifurcation analysis of the systems, resulting from periodic approximations of the quasiperiodic forcing. Secondly, we propose th characterize their strangeness by calculating a phase sensitivity exponent, that measures the sensitivity with respect to changes of the phase of the external force. It is shown, that phase sensitivity appears if there is a non-zero probability for positive local Lyapunov exponents to occur.}, language = {en} } @unpublished{Pikovskij2015, author = {Pikovskij, Arkadij}, title = {Comment on "Asymptotic Phase for Stochastic Oscillators"}, series = {Physical review letters}, volume = {115}, journal = {Physical review letters}, number = {6}, publisher = {American Physical Society}, address = {College Park}, issn = {0031-9007}, doi = {10.1103/PhysRevLett.115.069401}, pages = {1}, year = {2015}, language = {en} } @unpublished{PfaeffleStephan2012, author = {Pf{\"a}ffle, Frank and Stephan, Christoph A.}, title = {On gravity, torsion and the spectral action principle}, issn = {2193-6943}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-59989}, year = {2012}, abstract = {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.}, language = {en} } @unpublished{PfaeffleStephan2012, author = {Pf{\"a}ffle, Frank and Stephan, Christoph A.}, title = {The Holst action by the spectral action principle}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-60032}, year = {2012}, abstract = {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.}, language = {en} } @unpublished{PfaeffleStephan2012, author = {Pf{\"a}ffle, Frank and Stephan, Christoph A.}, title = {Chiral asymmetry and the spectral action}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-60046}, year = {2012}, abstract = {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.}, language = {en} } @unpublished{PetrocziBackhouseBarkoukisetal.2015, author = {Petroczi, Andrea and Backhouse, Susan H. and Barkoukis, Vassilis and Brand, Ralf and Elbe, Anne-Marie and Lazuras, Larnbros and Lucidi, Fabio}, title = {A call for policy guidance on psychometric testing in doping control in sport}, series = {International journal of drug policy}, volume = {26}, journal = {International journal of drug policy}, number = {11}, publisher = {Elsevier}, address = {Amsterdam}, issn = {0955-3959}, doi = {10.1016/j.drugpo.2015.04.022}, pages = {1130 -- 1139}, year = {2015}, abstract = {One of the fundamental challenges in anti-doping is identifying athletes who use, or are at risk of using, prohibited performance enhancing substances. The growing trend to employ a forensic approach to doping control aims to integrate information from social sciences (e.g., psychology of doping) into organised intelligence to protect clean sport. Beyond the foreseeable consequences of a positive identification as a doping user, this task is further complicated by the discrepancy between what constitutes a doping offence in the World Anti-Doping Code and operationalized in doping research. Whilst psychology plays an important role in developing our understanding of doping behaviour in order to inform intervention and prevention, its contribution to the array of doping diagnostic tools is still in its infancy. In both research and forensic settings, we must acknowledge that (1) socially desirable responding confounds self-reported psychometric test results and (2) that the cognitive complexity surrounding test performance means that the response-time based measures and the lie detector tests for revealing concealed life-events (e.g., doping use) are prone to produce false or non-interpretable outcomes in field settings. Differences in social-cognitive characteristics of doping behaviour that are tested at group level (doping users vs. non-users) cannot be extrapolated to individuals; nor these psychometric measures used for individual diagnostics. In this paper, we present a position statement calling for policy guidance on appropriate use of psychometric assessments in the pursuit of clean sport. We argue that, to date, both self-reported and response-time based psychometric tests for doping have been designed, tested and validated to explore how athletes feel and think about doping in order to develop a better understanding of doping behaviour, not to establish evidence for doping. A false 'positive' psychological profile for doping affects not only the individual 'clean' athlete but also their entourage, their organisation and sport itself. The proposed policy guidance aims to protect the global athletic community against social, ethical and legal consequences from potential misuse of psychological tests, including erroneous or incompetent applications as forensic diagnostic tools in both practice and research. (C) 2015 Elsevier B.V. All rights reserved.}, language = {en} } @unpublished{PetrocziBackhouseBarkoukisetal.2015, author = {Petroczi, Andrea and Backhouse, Susan H. and Barkoukis, Vassilis and Brand, Ralf and Elbe, Anne-Marie and Lazuras, Lambros and Lucidi, Fabio}, title = {A matter of mind-set in the interpretation of forensic application}, series = {International journal of drug policy}, volume = {26}, journal = {International journal of drug policy}, number = {11}, publisher = {Elsevier}, address = {Amsterdam}, issn = {0955-3959}, doi = {10.1016/j.drugpo.2015.06.007}, pages = {1142 -- 1143}, year = {2015}, language = {en} } @unpublished{PaneahSchulze1998, author = {Paneah, Boris and Schulze, Bert-Wolfgang}, title = {On the existence of smooth solutions of the dirichlet problem for hyperbolic : differential equations}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-25179}, year = {1998}, language = {en} } @unpublished{Paneah2002, author = {Paneah, Boris}, title = {Dynamic methods in the general theory of cauchy type functional equations}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-26295}, year = {2002}, abstract = {Contents: 1 Introduction. Denfitions and Discussions 2 Solvability of the Cauchy Type Functional Equations 2.1 The Case of a P-configuration 2.2 The Case of a Z-configuration 2.3 Multiplicative Cauchy type functional equations 3 Problems in Analysis Reducing to Cauchy Type Functional Equations 3.1 Some problems in Integral Geometry and Cauchy Functional Equations 3.2 First Boundary Problem for Hyperbolic Differential Equations and Cauchy Type Functional Equations 4 Functional Equations Determining Polynomials}, language = {en} } @unpublished{Paneah2006, author = {Paneah, Boris}, title = {Another approach to the stability of linear functional operators}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-30139}, year = {2006}, abstract = {Contents: 1 Introduction. 2 The main notations and notions. 3 Statement of results 4 Proofs of the main results.}, language = {en} } @unpublished{Paneah2001, author = {Paneah, Boris}, title = {On a new problem in integral geometry related to boundary problems for partial differential equations}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-26089}, year = {2001}, abstract = {Contents: 1 Introduction 2 Statement of the problem and definitions 3 The main results 4 Proof of theorem 2 4.1 Reduction of problem (2) to functional - integral equations 4.2 The uniqueness of a solution of equation (2) 4.3 The existence of a solution of equation (2) 5 Proof of theorem 1 6 Proof of theorem 3 7 First boundary problem for hyperbolic differential equations 7.1 Statement of the problem 7.2 The formulation of the result and a sketch of the proof}, language = {en} } @unpublished{Paneah2005, author = {Paneah, B.}, title = {On the general theory of the cauchy type functional equations with applications in analysis}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-30004}, year = {2005}, abstract = {Contents: 1 The main notations and definitions. 2 Statement of the problems and main results. 2.1 The case of a Z-configuration. 2.2 The case of a P-configuration. 3 Proofs of Theorems 1-7. 4 Applications. 4.1 Multiplicative Cauchy type functional equation. 4.2 On some integral equations relating to a geometric problem 4.3 On the solvability of boundary problem for hyperbolic differential equations.}, language = {en} } @unpublished{OlivetoSutton2015, author = {Oliveto, Pietro S. and Sutton, Andrew M.}, title = {Editorial for the Special Issue on Theory of Evolutionary Algorithms 2014}, series = {Evolutionary computation}, volume = {23}, journal = {Evolutionary computation}, number = {4}, publisher = {MIT Press}, address = {Cambridge}, issn = {1063-6560}, doi = {10.1162/EVCO_e_00165}, pages = {509 -- 511}, year = {2015}, language = {en} } @unpublished{OliaroSchulze2002, author = {Oliaro, Alessandro and Schulze, Bert-Wolfgang}, title = {Parameter-dependent boundary value problems on manifolds with edges}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-26424}, year = {2002}, abstract = {As is known from Kondratyev's work, boundary value problems for elliptic operators on a manifold with conical singularities and boundary are controlled by a principal symbolic hierarchy, where the conormal symbols belong to the typical new components, compared with the smooth case, with interior and boundary symbols. A similar picture may be expected on manifolds with corners when the base of the cone itself is a manifold with conical or edge singularities. This is a natural situation in a number of applications, though with essential new difficulties. We investigate here corresponding conormal symbols in terms of a calculus of holomorphic parameter-dependent edge boundary value problems on the base. We show that a certain kernel cut-off procedure generates all such holomorphic families, modulo smoothing elements, and we establish conormal symbols as an algebra as is necessary for a parametrix constructions in the elliptic case.}, language = {en} } @unpublished{Neumann2012, author = {Neumann, Mike}, title = {15 years younger chemists GDCh-Forum - the Future firmly in sight}, series = {Chemie in unserer Zeit}, volume = {46}, journal = {Chemie in unserer Zeit}, number = {3}, publisher = {Wiley-VCH}, address = {Weinheim}, issn = {0009-2851}, doi = {10.1002/ciuz.201290028}, pages = {131 -- 131}, year = {2012}, language = {de} } @unpublished{NehringZessin2010, author = {Nehring, Benjamin and Zessin, Hans}, title = {A path integral representation of the moment measures of the general ideal Bose gas}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-49635}, year = {2010}, abstract = {We reconsider the fundamental work of Fichtner ([2]) and exhibit the permanental structure of the ideal Bose gas again, using another approach which combines a characterization of infinitely divisible random measures (due to Kerstan,Kummer and Matthes [5, 6] and Mecke [8, 9]) with a decomposition of the moment measures into its factorial measures due to Krickeberg [4]. To be more precise, we exhibit the moment measures of all orders of the general ideal Bose gas in terms of certain path integrals. This representation can be considered as a point process analogue of the old idea of Symanzik [11] that local times and self-crossings of the Brownian motion can be used as a tool in quantum field theory. Behind the notion of a general ideal Bose gas there is a class of infinitely divisible point processes of all orders with a Levy-measure belonging to some large class of measures containing the one of the classical ideal Bose gas considered by Fichtner. It is well known that the calculation of moments of higher order of point processes are notoriously complicated. See for instance Krickeberg's calculations for the Poisson or the Cox process in [4].}, language = {en} } @unpublished{NehringPoghosyanZessin2013, author = {Nehring, Benjamin and Poghosyan, Suren and Zessin, Hans}, title = {On the construction of point processes in statistical mechanics}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-64080}, year = {2013}, abstract = {By means of the cluster expansion method we show that a recent result of Poghosyan and Ueltschi (2009) combined with a result of Nehring (2012) yields a construction of point processes of classical statistical mechanics as well as processes related to the Ginibre Bose gas of Brownian loops and to the dissolution in R^d of Ginibre's Fermi-Dirac gas of such loops. The latter will be identified as a Gibbs perturbation of the ideal Fermi gas. On generalizing these considerations we will obtain the existence of a large class of Gibbs perturbations of the so-called KMM-processes as they were introduced by Nehring (2012). Moreover, it is shown that certain "limiting Gibbs processes" are Gibbs in the sense of Dobrushin, Lanford and Ruelle if the underlying potential is positive. And finally, Gibbs modifications of infinitely divisible point processes are shown to solve a new integration by parts formula if the underlying potential is positive.}, language = {en} } @unpublished{Nehring2012, author = {Nehring, Benjamin}, title = {Construction of point processes for classical and quantum gases}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-59648}, year = {2012}, abstract = {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.}, language = {en} } @unpublished{NazaikinskiiSternin2000, author = {Nazaikinskii, Vladimir and Sternin, Boris}, title = {On surgery in elliptic theory}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-25873}, year = {2000}, abstract = {We prove a general theorem on the behavior of the relative index under surgery for a wide class of Fredholm operators, including relative index theorems for elliptic operators due to Gromov-Lawson, Anghel, Teleman, Booß-Bavnbek-Wojciechowski, et al. as special cases. In conjunction with additional conditions (like symmetry conditions), this theorem permits one to compute the analytical index of a given operator. In particular, we obtain new index formulas for elliptic pseudodifferential operators and quantized canonical transformations on manifolds with conical singularities.}, language = {en} } @unpublished{NazaikinskiiSternin2002, author = {Nazaikinskii, Vladimir and Sternin, Boris}, title = {Relative elliptic theory}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-26400}, year = {2002}, abstract = {This paper is a survey of relative elliptic theory (i.e. elliptic theory in the category of smooth embeddings), closely related to the Sobolev problem, first studied by Sternin in the 1960s. We consider both analytic aspects to the theory (the structure of the algebra of morphismus, ellipticity, Fredholm property) and topological aspects (index formulas and Riemann-Roch theorems). We also study the algebra of Green operators arising as a subalgebra of the algebra of morphisms.}, language = {en} } @unpublished{NazaikinskiiSternin2001, author = {Nazaikinskii, Vladimir and Sternin, Boris}, title = {Some problems of control of semiclassical states for the Schr{\"o}dinger equation}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-26130}, year = {2001}, abstract = {Contents: Introduction Controlled Quantum Systems The Asymptotic Controllability Problem The Stabilization Problem Unitarily Nonlinear Equations The Quantum Problem The Stabilization Problem for the Schr{\"o}dinger Equation with a Unitarily Non-linear Control}, language = {en} } @unpublished{NazaikinskiiSchulzeSterninetal.1997, author = {Nazaikinskii, Vladimir and Schulze, Bert-Wolfgang and Sternin, Boris and Shatalov, Victor}, title = {A Lefschetz fixed point theorem for manifolds with conical singularities}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-25073}, year = {1997}, abstract = {We establish an Atiyah-Bott-Lefschetz formula for elliptic operators on manifolds with conical singular points.}, language = {en} } @unpublished{NazaikinskiiSchulzeSterninetal.1997, author = {Nazaikinskii, Vladimir and Schulze, Bert-Wolfgang and Sternin, Boris and Shatalov, Victor}, title = {Quantization of symplectic transformations on manifolds with conical singularities}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-25084}, year = {1997}, abstract = {The structure of symplectic (canonical) transformations on manifolds with conical singularities is established. The operators associated with these transformations are defined in the weight spaces and their properties investigated.}, language = {en} } @unpublished{NazaikinskiiSchulzeSternin2002, author = {Nazaikinskii, Vladimir and Schulze, Bert-Wolfgang and Sternin, Boris}, title = {Surgery and the relative index theorem for families of elliptic operators}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-26300}, year = {2002}, abstract = {We prove a theorem describing the behaviour of the relative index of families of Fredholm operators under surgery performed on spaces where the operators act. In connection with additional conditions (like symmetry conditions) this theorem results in index formulas for given operator families. By way of an example, we give an application to index theory of families of boundary value problems.}, language = {en} } @unpublished{NazaikinskiiSchulzeSternin1999, author = {Nazaikinskii, Vladimir and Schulze, Bert-Wolfgang and Sternin, Boris}, title = {Quantization and the wave packet transform}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-25447}, year = {1999}, language = {en} } @unpublished{NazaikinskiiSchulzeSternin2000, author = {Nazaikinskii, Vladimir and Schulze, Bert-Wolfgang and Sternin, Boris}, title = {Quantization methods in differential equations : Chapter 3: Applications of noncommutative analysis to operator algebras on singular manifolds}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-25801}, year = {2000}, abstract = {Content: Chapter 3: Applications of Noncommutative Analysis to Operator Algebras on Singular Manifolds 3.1 Statement of the problem 3.2 Operators on the Model Cone 3.3 Operators on the Model Cusp of Order k 3.4 An Application to the Construction of Regularizers and Proof of the Finiteness Theorem}, language = {en} } @unpublished{NazaikinskiiSchulzeSternin2000, author = {Nazaikinskii, Vladimir and Schulze, Bert-Wolfgang and Sternin, Boris}, title = {Quantization methods in differential equations : Chapter 2: Exactly soluble commutation relations (The simplest class of classical mechanics)}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-25796}, year = {2000}, abstract = {Content: Chapter 2: Exactly SolubleCommutation Relations (The Simplest Class of Classical Mechanics) 2.1 Some examples 2.2 Lie commutation relations 2.3 Non-Lie (nonlinear) commutation relations}, language = {en} } @unpublished{NazaikinskiiSchulzeSternin2000, author = {Nazaikinskii, Vladimir and Schulze, Bert-Wolfgang and Sternin, Boris}, title = {Quantization methods in differential equations : Chapter 11: Noncommutative analysis and high-frequency asymptotics}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-25857}, year = {2000}, abstract = {Content: Chapter 11: Noncommutative Analysis and High-Frequency Asymptotics 11.1 Statement of the Problem 11.2 Mixed Asymptotics: the General Scheme 11.3 The Asymptotic Solution of Main Problem 11.4 Analysis of the Asymptotic Solution}, language = {en} } @unpublished{NazaikinskiiSchulzeSternin2000, author = {Nazaikinskii, Vladimir and Schulze, Bert-Wolfgang and Sternin, Boris}, title = {Quantization methods in differential equations : Part II: Quantization by the method of ordered operators (Noncommutative Analysis) : Chapter 1: Noncommutative Analysis: Main Ideas, Definitions, and Theorems}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-25762}, year = {2000}, abstract = {Content: 0.1 Preliminary Remarks Chapter 1: Noncommutative Analysis: Main Ideas, Definitions, and Theorems 1.1 Functions of One Operator (Functional Calculi) 1.2 Functions of Several Operators 1.3 Main Formulas of Operator Calculus 1.4 Main Tools of Noncommutative Analysis 1.5 Composition Laws and Ordered Representations}, language = {en} } @unpublished{NazaikinskiiSchulzeSternin2001, author = {Nazaikinskii, Vladimir and Schulze, Bert-Wolfgang and Sternin, Boris}, title = {Localization problem in index theory of elliptic operators}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-26175}, year = {2001}, abstract = {This is a survey of recent results concerning the general index locality principle, associated surgery, and their applications to elliptic operators on smooth manifolds and manifolds with singularities as well as boundary value problems. The full version of the paper is submitted for publication in Russian Mathematical Surveys.}, language = {en} } @unpublished{NazaikinskiiSavinSchulzeetal.2003, author = {Nazaikinskii, Vladimir and Savin, Anton and Schulze, Bert-Wolfgang and Sternin, Boris}, title = {Differential operators on manifolds with singularities : analysis and topology : Chapter 3: Eta invariant and the spectral flow}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-26595}, year = {2003}, abstract = {Contents: Chapter 3: Eta Invariant and the Spectral Flow 3.1. Introduction 3.2. The Classical Spectral Flow 3.2.1. Definition and main properties 3.2.2. The spectral flow formula for periodic families 3.3. The Atiyah-Patodi-Singer Eta Invariant 3.3.1. Definition of the eta invariant 3.3.2. Variation under deformations of the operator 3.3.3. Homotopy invariance. Examples 3.4. The Eta Invariant of Families with Parameter (Melrose's Theory) 3.4.1. A trace on the algebra of parameter-dependent operators 3.4.2. Definition of the Melrose eta invariant 3.4.3. Relationship with the Atiyah-Patodi-Singer eta invariant 3.4.4. Locality of the derivative of the eta invariant. Examples 3.5. The Spectral Flow of Families of Parameter-Dependent Operators 3.5.1. Meromorphic operator functions. Multiplicities of singular points 3.5.2. Definition of the spectral flow 3.6. Higher Spectral Flows 3.6.1. Spectral sections 3.6.2. Spectral flow of homotopies of families of self-adjoint operators 3.6.3. Spectral flow of homotopies of families of parameter-dependent operators 3.7. Bibliographical Remarks}, language = {en} } @unpublished{NazaikinskiiSavinSchulzeetal.2003, author = {Nazaikinskii, Vladimir and Savin, Anton and Schulze, Bert-Wolfgang and Sternin, Boris}, title = {Differential operators on manifolds with singularities : analysis and topology : Chapter 4: Pseudodifferential operators}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-26587}, year = {2003}, abstract = {Contents: Chapter 4: Pseudodifferential Operators 4.1. Preliminary Remarks 4.1.1. Why are pseudodifferential operators needed? 4.1.2. What is a pseudodifferential operator? 4.1.3. What properties should the pseudodifferential calculus possess? 4.2. Classical Pseudodifferential Operators on Smooth Manifolds 4.2.1. Definition of pseudodifferential operators on a manifold 4.2.2. H{\"o}rmander's definition of pseudodifferential operators 4.2.3. Basic properties of pseudodifferential operators 4.3. Pseudodifferential Operators in Sections of Hilbert Bundles 4.3.1. Hilbert bundles 4.3.2. Operator-valued symbols. Specific features of the infinite-dimensional case 4.3.3. Symbols of compact fiber variation 4.3.4. Definition of pseudodifferential operators 4.3.5. The composition theorem 4.3.6. Ellipticity 4.3.7. The finiteness theorem 4.4. The Index Theorem 4.4.1. The Atiyah-Singer index theorem 4.4.2. The index theorem for pseudodifferential operators in sections of Hilbert bundles 4.4.3. Proof of the index theorem 4.5. Bibliographical Remarks}, language = {en} } @unpublished{NazaikinskiiSavinSchulzeetal.2004, author = {Nazaikinskii, Vladimir and Savin, Anton and Schulze, Bert-Wolfgang and Sternin, Boris}, title = {Differential operators on manifolds with singularities : analysis and topology : Chapter 6: Elliptic theory on manifolds with edges}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-26757}, year = {2004}, abstract = {Contents: Chapter 6: Elliptic Theory on Manifolds with Edges Introduction 6.1. Motivation and Main Constructions 6.1.1. Manifolds with edges 6.1.2. Edge-degenerate differential operators 6.1.3. Symbols 6.1.4. Elliptic problems 6.2. Pseudodifferential Operators 6.2.1. Edge symbols 6.2.2. Pseudodifferential operators 6.2.3. Quantization 6.3. Elliptic Morphisms and the Finiteness Theorem 6.3.1. Matrix Green operators 6.3.2. General morphisms 6.3.3. Ellipticity, Fredholm property, and smoothness Appendix A. Fiber Bundles and Direct Integrals A.1. Local theory A.2. Globalization A.3. Versions of the Definition of the Norm}, language = {en} } @unpublished{NazaikinskiiSavinSchulzeetal.2003, author = {Nazaikinskii, Vladimir and Savin, Anton and Schulze, Bert-Wolfgang and Sternin, Boris}, title = {Elliptic theory on manifolds with nonisolated singularities : V. Index formulas for elliptic problems on manifolds with edges}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-26500}, year = {2003}, abstract = {For elliptic problems on manifolds with edges, we construct index formulas in form of a sum of homotopy invariant contributions of the strata (the interior of the manifold and the edge). Both terms are the indices of elliptic operators, one of which acts in spaces of sections of finite-dimensional vector bundles on a compact closed manifold and the other in spaces of sections of infinite-dimensional vector bundles over the edge.}, language = {en} } @unpublished{NazaikinskiiSavinSchulzeetal.2003, author = {Nazaikinskii, Vladimir and Savin, Anton and Schulze, Bert-Wolfgang and Sternin, Boris}, title = {Differential operators on manifolds with singularities : analysis and topology : Chapter 1: Localization (surgery) in elliptic theory}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-26546}, year = {2003}, abstract = {Contents: Chapter 1: Localization (Surgery) in Elliptic Theory 1.1. The Index Locality Principle 1.1.1. What is locality? 1.1.2. A pilot example 1.1.3. Collar spaces 1.1.4. Elliptic operators 1.1.5. Surgery and the relative index theorem 1.2. Surgery in Index Theory on Smooth Manifolds 1.2.1. The Booß-Wojciechowski theorem 1.2.2. The Gromov-Lawson theorem 1.3. Surgery for Boundary Value Problems 1.3.1. Notation 1.3.2. General boundary value problems 1.3.3. A model boundary value problem on a cylinder 1.3.4. The Agranovich-Dynin theorem 1.3.5. The Agranovich theorem 1.3.6. Bojarski's theorem and its generalizations 1.4. (Micro)localization in Lefschetz theory 1.4.1. The Lefschetz number 1.4.2. Localization and the contributions of singular points 1.4.3. The semiclassical method and microlocalization 1.4.4. The classical Atiyah-Bott-Lefschetz theorem}, language = {en} } @unpublished{NazaikinskiiSavinSchulzeetal.2002, author = {Nazaikinskii, Vladimir and Savin, Anton and Schulze, Bert-Wolfgang and Sternin, Boris}, title = {Elliptic theory on manifolds with nonisolated singularities : I. The index of families of cone-degenerate operators}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-26327}, year = {2002}, abstract = {We study the index problem for families of elliptic operators on manifolds with conical singularities. The relative index theorem concerning changes of the weight line is obtained. AN index theorem for families whose conormal symbols satisfy some symmetry conditions is derived.}, language = {en} } @unpublished{NazaikinskiiSavinSchulzeetal.2002, author = {Nazaikinskii, Vladimir and Savin, Anton and Schulze, Bert-Wolfgang and Sternin, Boris}, title = {Elliptic theory on manifolds with nonisolated singularities : III. The spectral flow of families of conormal symbols}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-26386}, year = {2002}, abstract = {When studyind elliptic operators on manifolds with nonisolated singularities one naturally encounters families of conormal symbols (i.e. operators elliptic with parameter p ∈ IR in the sense of Agranovich-Vishik) parametrized by the set of singular points. For homotopies of such families we define the notion of spectral flow, which in this case is an element of the K-group of the parameter space. We prove that the spectral flow is equal to the index of some family of operators on the infinite cone.}, language = {en} } @unpublished{NazaikinskiiSavinSchulzeetal.2002, author = {Nazaikinskii, Vladimir and Savin, Anton and Schulze, Bert-Wolfgang and Sternin, Boris}, title = {Elliptic theory on manifolds with nonisolated singularities : IV. Obstructions to elliptic problems on manifolds with edges}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-26415}, year = {2002}, abstract = {The obstruction to the existence of Fredholm problems for elliptic differentail operators on manifolds with edges is a topological invariant of the operator. We give an explicit general formula for this invariant. As an application we compute this obstruction for geometric operators.}, language = {en} } @unpublished{NazaikinskiiSavinSchulzeetal.2002, author = {Nazaikinskii, Vladimir and Savin, Anton and Schulze, Bert-Wolfgang and Sternin, Boris}, title = {Elliptic theory on manifolds with nonisolated singularities : II. Products in elliptic theory on manifolds with edges}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-26335}, year = {2002}, abstract = {Exterior tensor products of elliptic operators on smooth manifolds and manifolds with conical singularities are used to obtain examples of elliptic operators on manifolds with edges that do not admit well-posed edge boundary and coboundary conditions.}, language = {en} } @unpublished{NazaikinskiiSavinSchulzeetal.2003, author = {Nazaikinskii, Vladimir and Savin, Anton and Schulze, Bert-Wolfgang and Sternin, Boris}, title = {Differential operators on manifolds with singularities : analysis and topology : Chapter 5: Manifolds with isolated singularities}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-26659}, year = {2003}, abstract = {Contents: Chapter 5: Manifolds with Isolated Singularities 5.1. Differential Operators and the Geometry of Singularities 5.1.1. How do isolated singularities arise? Examples 5.1.2. Definition and methods for the description of manifolds with isolated singularities 5.1.3. Bundles. The cotangent bundle 5.2. Asymptotics of Solutions, Function Spaces,Conormal Symbols 5.2.1. Conical singularities 5.2.2. Cuspidal singularities 5.3. A Universal Representation of Degenerate Operators and the Finiteness Theorem 5.3.1. The cylindrical representation 5.3.2. Continuity and compactness 5.3.3. Ellipticity and the finiteness theorem 5.4. Calculus of ΨDO 5.4.1. General ΨDO 5.4.2. The subalgebra of stabilizing ΨDO 5.4.3. Ellipticity and the finiteness theorem}, language = {en} } @unpublished{NazaikinskiiSavinSchulzeetal.2004, author = {Nazaikinskii, Vladimir and Savin, Anton and Schulze, Bert-Wolfgang and Sternin, Boris}, title = {Differential operators on manifolds with singularities : analysis and topology : Chapter 7: The index problem on manifolds with singularities}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-26700}, year = {2004}, abstract = {Contents: Chapter 7: The Index Problemon Manifolds with Singularities Preface 7.1. The Simplest Index Formulas 7.1.1. General properties of the index 7.1.2. The index of invariant operators on the cylinder 7.1.3. Relative index formulas 7.1.4. The index of general operators on the cylinder 7.1.5. The index of operators of the form 1 + G with a Green operator G 7.1.6. The index of operators of the form 1 + G on manifolds with edges 7.1.7. The index on bundles with smooth base and fiber having conical points 7.2. The Index Problem for Manifolds with Isolated Singularities 7.2.1. Statement of the index splitting problem 7.2.2. The obstruction to the index splitting 7.2.3. Computation of the obstruction in topological terms 7.2.4. Examples. Operators with symmetries 7.3. The Index Problem for Manifolds with Edges 7.3.1. The index excision property 7.3.2. The obstruction to the index splitting 7.4. Bibliographical Remarks}, language = {en} } @unpublished{NazaikinskiiSternin1999, author = {Nazaikinskii, Vladimir E. and Sternin, Boris}, title = {Surgery and the relative index in elliptic theory}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-25538}, year = {1999}, abstract = {We prove a general theorem on the local property of the relative index for a wide class of Fredholm operators, including relative index theorems for elliptic operators due to Gromov-Lawson, Anghel, Teleman, Booß-Bavnbek-Wojciechowski, et al. as special cases. In conjunction with additional conditions (like symmetry conditions) this theorem permits one to compute the analytical index of a given operator. In particular, we obtain new index formulas for elliptic pseudodifferential operators and quantized canonical transformations on manifolds with conical singularities as well as for elliptic boundary value problems with a symmetry condition for the conormal symbol.}, language = {en} } @unpublished{NazaikinskiiSchulzeSternin1999, author = {Nazaikinskii, Vladimir E. and Schulze, Bert-Wolfgang and Sternin, Boris}, title = {Quantization methods in differential equations : Chapter 2: Quantization of Lagrangian modules}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-25582}, year = {1999}, abstract = {In this chapter we use the wave packet transform described in Chapter 1 to quantize extended classical states represented by so-called Lagrangian sumbanifolds of the phase space. Functions on a Lagrangian manifold form a module over the ring of classical Hamiltonian functions on the phase space (with respect to pointwise multiplication). The quantization procedure intertwines this multiplication with the action of the corresponding quantum Hamiltonians; hence we speak of quantization of Lagrangian modules. The semiclassical states obtained by this quantization procedure provide asymptotic solutions to differential equations with a small parameter. Locally, such solutions can be represented by WKB elements. Global solutions are given by Maslov's canonical operator [2]; also see, e.g., [3] and the references therein. Here the canonical operator is obtained in the framework of the universal quantization procedure provided by the wave packet transform. This procedure was suggested in [4] (see also the references there) and further developed in [5]; our exposition is in the spirit of these papers. Some further bibliographical remarks can be found in the beginning of Chapter 1.}, language = {en} } @unpublished{NazaikinskiiSavinSchulzeetal.2004, author = {Nazaikinskii, Vladimir E. and Savin, Anton and Schulze, Bert-Wolfgang and Sternin, Boris}, title = {On the homotopy classification of elliptic operators on manifolds with edges}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-26769}, year = {2004}, abstract = {We obtain a stable homotopy classification of elliptic operators on manifolds with edges.}, language = {en} } @unpublished{NacinovichSchulzeTarkhanov1998, author = {Nacinovich, Mauro and Schulze, Bert-Wolfgang and Tarkhanov, Nikolai Nikolaevich}, title = {On carleman formulas for the dolbeault cohomology}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-25224}, year = {1998}, abstract = {We discuss the Cauchy problem for the Dolbeault cohomology in a domain of C n with data on a part of the boundary. In this setting we introduce the concept of a Carleman function which proves useful in the study of uniqueness. Apart from an abstract framework we show explicit Carleman formulas for the Dolbeault cohomology.}, language = {en} } @unpublished{MuellerRoeber2015, author = {M{\"u}ller-R{\"o}ber, Bernd}, title = {That "crispert" in Plant Cultivation}, series = {Journal f{\"u}r Verbraucherschutz und Lebensmittelsicherheit = Journal of consumer protection and food safety}, volume = {10}, journal = {Journal f{\"u}r Verbraucherschutz und Lebensmittelsicherheit = Journal of consumer protection and food safety}, number = {4}, publisher = {Springer}, address = {Basel}, issn = {1661-5751}, doi = {10.1007/s00003-015-0985-1}, pages = {305 -- 306}, year = {2015}, language = {de} } @unpublished{MeleardRoelly2013, author = {M{\´e}l{\´e}ard, Sylvie and Roelly, Sylvie}, title = {Evolutive two-level population process and large population approximations}, issn = {2193-6943}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-64604}, year = {2013}, abstract = {We are interested in modeling the Darwinian evolution of a population described by two levels of biological parameters: individuals characterized by an heritable phenotypic trait submitted to mutation and natural selection and cells in these individuals influencing their ability to consume resources and to reproduce. Our models are rooted in the microscopic description of a random (discrete) population of individuals characterized by one or several adaptive traits and cells characterized by their type. The population is modeled as a stochastic point process whose generator captures the probabilistic dynamics over continuous time of birth, mutation and death for individuals and birth and death for cells. The interaction between individuals (resp. between cells) is described by a competition between individual traits (resp. between cell types). We are looking for tractable large population approximations. By combining various scalings on population size, birth and death rates and mutation step, the single microscopic model is shown to lead to contrasting nonlinear macroscopic limits of different nature: deterministic approximations, in the form of ordinary, integro- or partial differential equations, or probabilistic ones, like stochastic partial differential equations or superprocesses.}, language = {en} } @unpublished{MeleardRoelly2011, author = {M{\´e}l{\´e}ard, Sylvie and Roelly, Sylvie}, title = {A host-parasite multilevel interacting process and continuous approximations}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-51694}, year = {2011}, abstract = {We are interested in modeling some two-level population dynamics, resulting from the interplay of ecological interactions and phenotypic variation of individuals (or hosts) and the evolution of cells (or parasites) of two types living in these individuals. The ecological parameters of the individual dynamics depend on the number of cells of each type contained by the individual and the cell dynamics depends on the trait of the invaded individual. Our models are rooted in the microscopic description of a random (discrete) population of individuals characterized by one or several adaptive traits and cells characterized by their type. The population is modeled as a stochastic point process whose generator captures the probabilistic dynamics over continuous time of birth, mutation and death for individuals and birth and death for cells. The interaction between individuals (resp. between cells) is described by a competition between individual traits (resp. between cell types). We look for tractable large population approximations. By combining various scalings on population size, birth and death rates and mutation step, the single microscopic model is shown to lead to contrasting nonlinear macroscopic limits of different nature: deterministic approximations, in the form of ordinary, integro- or partial differential equations, or probabilistic ones, like stochastic partial differential equations or superprocesses. The study of the long time behavior of these processes seems very hard and we only develop some simple cases enlightening the difficulties involved.}, language = {en} } @unpublished{Myslivets2000, author = {Myslivets, Simona}, title = {On the boundary behaviour of the logarithmic residue integral}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-25733}, year = {2000}, abstract = {A formula of multidimensional logarithmic residue is proved for holomorphic maps with zeroes on the boundary of a bounded domain in Cn.}, language = {en} } @unpublished{MurrayFischerTatler2013, author = {Murray, Wayne S. and Fischer, Martin H. and Tatler, Benjamin W.}, title = {Serial and parallel processes in eye movement control - current controversies and future directions}, series = {The quarterly journal of experimental psychology}, volume = {66}, journal = {The quarterly journal of experimental psychology}, number = {3}, publisher = {Wiley}, address = {Hove}, issn = {1747-0218}, doi = {10.1080/17470218.2012.759979}, pages = {417 -- 428}, year = {2013}, abstract = {In this editorial for the Special Issue on Serial and Parallel Processing in Reading we explore the background to the current debate concerning whether the word recognition processes in reading are strictly serialsequential or take place in an overlapping parallel fashion. We consider the history of the controversy and some of the underlying assumptions, together with an analysis of the types of evidence and arguments that have been adduced to both sides of the debate, concluding that both accounts necessarily presuppose some weakening of, or elasticity in, the eyemind assumption. We then consider future directions, both for reading research and for scene viewing, and wrap up the editorial with a brief overview of the following articles and their conclusions.}, language = {en} } @unpublished{Murr2008, author = {Murr, R{\"u}diger}, title = {Dualit{\"a}tsformeln f{\"u}r Brownsche Bewegung und f{\"u}r eine Irrfahrt mit Anwendung am Konvergenzergebnis von Donsker}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-49476}, year = {2008}, abstract = {Aus dem Inhalt: 0.1 Danksagung 0.2 Einleitung 1 Allgemeines und Grundlagen 1.1 Die Brownsche Bewegung 2 Die Dualit{\"a}tsformel des Wienermaßes 2.1 Wienermaß erf{\"u}llt Dualit{\"a}tsformel 2.2 Dualit{\"a}tsformel charakterisiert Wienermaß 3 Die diskrete Dualit{\"a}tsformel der Irrfahrt 3.1 Verallgemeinerte symmetrische Irrfahrt erf{\"u}llt diskrete Dualit{\"a}tsformel 3.2 Diskrete Dualit{\"a}tsformel charakterisiert verallgemeinerte symmetrische Irrfahrt 4 Donskers Theorem und die Dualit{\"a}tsformeln 4.1 Straffheit der renormierten stetigen Irrfahrt 4.2 Konvergenz der Irrfahrt 5 Anhang}, language = {de} } @unpublished{Murr2011, author = {Murr, R{\"u}diger}, title = {Characterization of L{\´e}vy Processes by a duality formula and related results}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-43538}, year = {2011}, abstract = {Processes with independent increments are characterized via a duality formula, including Malliavin derivative and difference operators. This result is based on a characterization of infinitely divisible random vectors by a functional equation. A construction of the difference operator by a variational method is introduced and compared to approaches used by other authors for L´evy processes involving the chaos decomposition. Finally we extend our method to characterize infinitely divisible random measures.}, language = {en} } @unpublished{Murr2012, author = {Murr, R{\"u}diger}, title = {Reciprocal classes of Markov processes : an approach with duality formulae}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-63018}, year = {2012}, abstract = {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.}, language = {en} } @unpublished{MukherjeeMukherjeeThiede2013, author = {Mukherjee, Soumyajit and Mukherjee, Barun Kumar and Thiede, Rasmus Christoph}, title = {Geosciences of the Himalaya-Karakoram-Tibet orogen}, series = {INTERNATIONAL JOURNAL OF EARTH SCIENCES}, volume = {102}, journal = {INTERNATIONAL JOURNAL OF EARTH SCIENCES}, number = {7}, publisher = {SPRINGER}, address = {NEW YORK}, issn = {1437-3254}, doi = {10.1007/s00531-013-0934-0}, pages = {1757 -- 1758}, year = {2013}, language = {en} } @unpublished{MischkeWuennemannAppel2013, author = {Mischke, Steffen and W{\"u}nnemann, Bernd and Appel, Erwin}, title = {Proxies for quaternary monsoon reconstruction on the tibetan plateau}, series = {Quaternary international : the journal of the International Union for Quaternary Research}, volume = {313}, journal = {Quaternary international : the journal of the International Union for Quaternary Research}, publisher = {Elsevier}, address = {Oxford}, issn = {1040-6182}, doi = {10.1016/j.quaint.2013.10.001}, pages = {1 -- 2}, year = {2013}, language = {en} } @unpublished{MischkeMadsenZhangetal.2015, author = {Mischke, Steffen and Madsen, David and Zhang, Chengjun and Lai, Zhongping}, title = {Reply to comment by Zhang (2014): The Shell Bar in the Qaidam Basin: fluvial or lake deposit, and OSL versus C-14 age data}, series = {Journal of paleolimnolog}, volume = {53}, journal = {Journal of paleolimnolog}, number = {3}, publisher = {Springer}, address = {Dordrecht}, issn = {0921-2728}, doi = {10.1007/s10933-014-9817-z}, pages = {335 -- 344}, year = {2015}, language = {en} } @unpublished{MischkeChen2014, author = {Mischke, Steffen and Chen, Fahu}, title = {Introduction to "Late Pleistocene and Holocene climate change in continental Asia"}, series = {Journal of paleolimnolog}, volume = {51}, journal = {Journal of paleolimnolog}, number = {2}, publisher = {Springer}, address = {Dordrecht}, issn = {0921-2728}, doi = {10.1007/s10933-013-9750-6}, pages = {157 -- 159}, year = {2014}, language = {en} } @unpublished{MichaelisDietzeYekani2012, author = {Michaelis, Beatrice and Dietze, Gabriele and Yekani, Elahe Haschemi}, title = {The queerness of things not queer - entgrenzungen - Affekte und Materialit{\"a}ten - Interventionen}, series = {Feministische Studien : Zeitschrift f{\"u}r interdisziplin{\"a}re Frauen- und Geschlechterforschung}, volume = {30}, journal = {Feministische Studien : Zeitschrift f{\"u}r interdisziplin{\"a}re Frauen- und Geschlechterforschung}, number = {2}, publisher = {Lucius \& Lucius}, address = {Stuttgart}, issn = {0723-5186}, pages = {184 -- 197}, year = {2012}, language = {de} } @unpublished{Messina2001, author = {Messina, Francesca}, title = {Local solvability for semilinear Fuchsian equations}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-26124}, year = {2001}, abstract = {Contents: 1 Introduction 2 Differential operators on manifolds with conical singularities 3 When H up(s,y) (B) is an algebra 4 Statement of the main result 5 Proof of the theorem}, language = {en} } @unpublished{MeraTarkhanov2016, author = {Mera, Azal and Tarkhanov, Nikolai Nikolaevich}, title = {The Neumann problem after Spencer}, volume = {5}, number = {6}, publisher = {Universit{\"a}tsverlag Potsdam}, address = {Potsdam}, issn = {2193-6943}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus4-90631}, pages = {21}, year = {2016}, abstract = {When trying to extend the Hodge theory for elliptic complexes on compact closed manifolds to the case of compact manifolds with boundary one is led to a boundary value problem for the Laplacian of the complex which is usually referred to as Neumann problem. We study the Neumann problem for a larger class of sequences of differential operators on a compact manifold with boundary. These are sequences of small curvature, i.e., bearing the property that the composition of any two neighbouring operators has order less than two.}, language = {en} } @unpublished{MeraShlapunovTarkhanov2015, author = {Mera, Azal and Shlapunov, Alexander and Tarkhanov, Nikolai Nikolaevich}, title = {Navier-Stokes equations for elliptic complexes}, volume = {4}, number = {12}, publisher = {Universit{\"a}tsverlag Potsdam}, address = {Potsdam}, issn = {2193-6943}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus4-85592}, pages = {27}, year = {2015}, abstract = {We continue our study of invariant forms of the classical equations of mathematical physics, such as the Maxwell equations or the Lam{\´e} system, on manifold with boundary. To this end we interpret them in terms of the de Rham complex at a certain step. On using the structure of the complex we get an insight to predict a degeneracy deeply encoded in the equations. In the present paper we develop an invariant approach to the classical Navier-Stokes equations.}, language = {en} } @unpublished{MeloNestSchrohe2001, author = {Melo, S. T. and Nest, R. and Schrohe, Elmar}, title = {C*-structure and K-theory of Boutet de Monvel's algebra}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-26166}, year = {2001}, abstract = {We consider the norm closure A of the algebra of all operators of order and class zero in Boutet de Monvel's calculus on a manifold X with boundary ∂X. We first describe the image and the kernel of the continuous extension of the boundary principal symbol homomorphism to A. If X is connected and ∂X is not empty, we then show that the K-groups of A are topologically determined. In case the manifold, its boundary, and the cotangent space of its interior have torsion free K-theory, we get Ki(A,k) congruent Ki(C(X))⊕Ksub(1-i)(Csub(0)(T*X)),i = 0,1, with k denoting the compact ideal, and T*X denoting the cotangent bundle of the interior. Using Boutet de Monvel's index theorem, we also prove that the above formula holds for i = 1 even without this torsion-free hypothesis. For the case of orientable, two-dimensional X, Ksub(0)(A) congruent Z up(2g+m) and Ksub(1)(A) congruent Z up(2g+m-1), where g is the genus of X and m is the number of connected components of ∂X. We also obtain a composition sequence 0 ⊂ k ⊂ G ⊂ A, with A/G commutative and G/k isomorphic to the algebra of all continuous functions on the cosphere bundle of ∂X with values in compact operators on L²(R+).}, language = {en} } @unpublished{MelnickMorenoMotaghetal.2013, author = {Melnick, Daniel and Moreno, Marcos and Motagh, Mahdi and Cisternas, Marco and Wesson, Robert L.}, title = {Splay fault slip during the M-w 8.8 2010 maule Chile earthquake reply}, series = {Geology}, volume = {41}, journal = {Geology}, number = {12}, publisher = {American Institute of Physics}, address = {Boulder}, issn = {0091-7613}, doi = {10.1130/G34825Y.1}, pages = {E310 -- E310}, year = {2013}, language = {en} } @unpublished{MeklerBoeckmannSokolovskaia2000, author = {Mekler, A. A. and B{\"o}ckmann, Christine and Sokolovskaia, N.}, title = {Particle distribution from spectral Mie-scattering: kernel representation and singular-value spectrum}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-14948}, year = {2000}, abstract = {This paper deals with the Mie scattering kernels for multi-spectral data. The kernels may be represented in form of power series. Furthermore, the singular-value spectrum and the degree of ill-posedness in dependence on the refractive index of the particles are numerically approximated. A special hybrid regularization technique allows us to determine via inversion the particle distributions of different types.}, language = {en} } @unpublished{MeisterDziourkevich2000, author = {Meister, Claudia-Veronika and Dziourkevich, Natalia S.}, title = {Temperature-anisotropy driven mirror waves in space plasma}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-14977}, year = {2000}, abstract = {In this paper an analysis of the excitation conditions of mirror waves is done, which propagate parallel to an external magnetic field. There are found analytical expressions for the dispersion relations of the waves in case of different plasma conditions. These relations may be used in future to develop the nonlinear theory of mirror waves. In comparison with former analytical works, in the study the inuence of the magnetic field and nite temperatures of the ions parallel to the magnetic field are taken into account. Application is done for the earth's magnetosheath.}, language = {en} } @unpublished{MegowKoerzdoerferRengeretal.2015, author = {Megow, J{\"o}rg and K{\"o}rzd{\"o}rfer, Thomas and Renger, Thomas and Sparenberg, Mino and Blumstengel, Sylke and May, Volkhard}, title = {Reply to "Comment on 'Calculating Optical Absorption Spectra of Thin Polycrystalline Organic Films: Structural Disorder and Site-Dependent van der Waals Interaction"}, series = {The journal of physical chemistry : C, Nanomaterials and interfaces}, volume = {119}, journal = {The journal of physical chemistry : C, Nanomaterials and interfaces}, number = {32}, publisher = {American Chemical Society}, address = {Washington}, issn = {1932-7447}, doi = {10.1021/acs.jpcc.5b05536}, pages = {18818 -- 18820}, year = {2015}, language = {en} } @unpublished{Mayer2012, author = {Mayer, Frank}, title = {Frequency of sport injuries and stress-related conditions in top-class Sport}, series = {Der Orthop{\"a}de}, volume = {41}, journal = {Der Orthop{\"a}de}, number = {7}, publisher = {Springer}, address = {New York}, issn = {0085-4530}, doi = {10.1007/s00132-012-1971-2}, pages = {560 -- 560}, year = {2012}, language = {de} } @unpublished{Mayer2014, author = {Mayer, Frank}, title = {Neuromuscular training reduces cruciate ligament ruptures}, series = {Der Orthop{\"a}de}, volume = {43}, journal = {Der Orthop{\"a}de}, number = {9}, publisher = {Springer}, address = {New York}, issn = {0085-4530}, pages = {858 -- 858}, year = {2014}, language = {de} } @unpublished{MartinSchulze2005, author = {Martin, C.-I. and Schulze, Bert-Wolfgang}, title = {The quantisation of edge symbols}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-29959}, year = {2005}, abstract = {We investigate operators on manifolds with edges from the point of view of the symbolic calculus induced by the singularities. We discuss new aspects of the quantisation of edge-degenerate symbols which lead to continuous operators in weighted edge spaces.}, language = {en} } @unpublished{MargariaHinchey2013, author = {Margaria, Tiziana and Hinchey, Mike}, title = {Simplicity in IT - the power of less}, series = {Computer : innovative technology for computer professionals}, volume = {46}, journal = {Computer : innovative technology for computer professionals}, number = {11}, publisher = {Inst. of Electr. and Electronics Engineers}, address = {Los Alamitos}, issn = {0018-9162}, doi = {10.1109/MC.2013.397}, pages = {23 -- 25}, year = {2013}, abstract = {Simplicity is a mindset, a way of looking at solutions, an extremely wide-ranging philosophical stance on the world, and thus a deeply rooted cultural paradigm. The culture of "less" can be profoundly disruptive, cutting out existing "standard" elements from products and business models, thereby revolutionizing entire markets.}, language = {en} } @unpublished{ManicciaSchulze2002, author = {Maniccia, L. and Schulze, Bert-Wolfgang}, title = {An algebra of meromorphic corner symbols}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-26360}, year = {2002}, abstract = {Operators on manifolds with corners that have base configurations with geometric singularities can be analysed in the frame of a conormal symbolic structure which is in spirit similar to the one for conical singularities of Kondrat'ev's work. Solvability of elliptic equations and asymptotics of solutions are determined by meromorphic conormal symbols. We study the case when the base has edge singularities which is a natural assumption in a number of applications. There are new phenomena, caused by a specific kind of higher degeneracy of the underlying symbols. We introduce an algebra of meromorphic edge operators that depend on complex parameters and investigate meromorphic inverses in the parameter-dependent elliptic case. Among the examples are resolvents of elliptic differential operators on manifolds with edges.}, language = {en} } @unpublished{ManicciaMughetti2001, author = {Maniccia, L. and Mughetti, M.}, title = {Weyl calculus for a class of subelliptic operators}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-26038}, year = {2001}, abstract = {Weyl-H{\"o}rmander calculus is used to get a parametrix in OPS¹-m sub(½, ½)(Ω)for a class of subelliptic pseudodifferential operators in OPS up(m)sub(1, 0)(Ω) with real non-negative principal symbol.}, language = {en} } @unpublished{MakhmudovTarkhanov2013, author = {Makhmudov, Olimdjan and Tarkhanov, Nikolai Nikolaevich}, title = {An extremal problem related to analytic continuation}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-63634}, year = {2013}, abstract = {We show that the usual variational formulation of the problem of analytic continuation from an arc on the boundary of a plane domain does not lead to a relaxation of this overdetermined problem. To attain such a relaxation, we bound the domain of the functional, thus changing the Euler equations.}, language = {en} } @unpublished{MakhmudovTarkhanov2014, author = {Makhmudov, Olimdjan and Tarkhanov, Nikolai Nikolaevich}, title = {The first mixed problem for the nonstationary Lam{\´e} system}, volume = {3}, number = {10}, publisher = {Universit{\"a}tsverlag Potsdam}, address = {Potsdam}, issn = {2193-6943}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-71923}, pages = {19}, year = {2014}, abstract = {We find an adequate interpretation of the Lam{\´e} operator within the framework of elliptic complexes and study the first mixed problem for the nonstationary Lam{\´e} system.}, language = {en} } @unpublished{MakhmudovNiyozovTarkhanov2006, author = {Makhmudov, O. and Niyozov, I. and Tarkhanov, Nikolai Nikolaevich}, title = {The cauchy problem of couple-stress elasticity}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-30078}, year = {2006}, abstract = {We study the Cauchy problem for the oscillation equation of the couple-stress theory of elasticity in a bounded domain in R3. Both the displacement and stress are given on a part S of the boundary of the domain. This problem is densely solvable while data of compact support in the interior of S fail to belong to the range of the problem. Hence the problem is ill-posed which makes the standard calculi of Fourier integral operators inapplicable. If S is real analytic the Cauchy-Kovalevskaya theorem applies to guarantee the existence of a local solution. We invoke the special structure of the oscillation equation to derive explicit conditions of global solvability and an approximation solution.}, language = {en} } @unpublished{MakhmudovNiyozov2005, author = {Makhmudov, O. I. and Niyozov, I. E.}, title = {Regularization of the Cauchy Problem for the System of Elasticity Theory in R up (m)}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-29983}, year = {2005}, abstract = {In this paper we consider the regularization of the Cauchy problem for a system of second order differential equations with constant coefficients.}, language = {en} } @unpublished{MakhmudovNiyozov2005, author = {Makhmudov, O. I. and Niyozov, I. E.}, title = {The Cauchy problem for the Lame system in infinite domains in R up(m)}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-29967}, year = {2005}, abstract = {We consider the problem of analytic continuation of the solution of the multidimensional Lame system in infinite domains through known values of the solution and the corresponding strain tensor on a part of the boundary, i.e,the Cauchy problem.}, language = {en} } @unpublished{MakhmudovMakhmudovTarkhanov2015, author = {Makhmudov, K. O. and Makhmudov, O. I. and Tarkhanov, Nikolai Nikolaevich}, title = {A nonstandard Cauchy problem for the heat equation}, volume = {4}, number = {11}, publisher = {Universit{\"a}tsverlag Potsdam}, address = {Potsdam}, issn = {2193-6943}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus4-83830}, pages = {14}, year = {2015}, abstract = {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.}, language = {en} } @unpublished{MaergoizTarkhanov2006, author = {Maergoiz, L. and Tarkhanov, Nikolai Nikolaevich}, title = {Optimal recovery from a finite set in Banach spaces of entire functions}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-30199}, year = {2006}, abstract = {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.}, language = {en} } @unpublished{MaassRieder1996, author = {Maaß, Peter and Rieder, Andreas}, title = {Wavelet-accelerated Tikhonov-Phillips regularization with applications}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-14104}, year = {1996}, abstract = {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}}, language = {en} } @unpublished{MaassPereverzevRamlauetal.1998, author = {Maaß, Peter and Pereverzev, Sergei V. and Ramlau, Ronny and Solodky, Sergei G.}, title = {An adaptive discretization for Tikhonov-Phillips regularization with a posteriori parameter selection}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-14739}, year = {1998}, abstract = {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.}, language = {en} } @unpublished{MaXu2001, author = {Ma, Li and Xu, Xingwang}, title = {Positive solutions of a logistic equation on unbounded intervals}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-26015}, year = {2001}, abstract = {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.}, language = {en} } @unpublished{MaSchulze2009, author = {Ma, L. and Schulze, Bert-Wolfgang}, title = {Operators on manifolds with conical singularities}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-36608}, year = {2009}, abstract = {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.}, language = {en} } @unpublished{LeonardRoellyZambrini2013, author = {L{\´e}onard, Christian and Roelly, Sylvie and Zambrini, Jean-Claude}, title = {Temporal symmetry of some classes of stochastic processes}, issn = {2193-6943}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-64599}, year = {2013}, abstract = {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.}, language = {en} } @unpublished{LaeuterRamadan2010, author = {L{\"a}uter, Henning and Ramadan, Ayad}, title = {Statistical Scaling of Categorical Data}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-49566}, year = {2010}, abstract = {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.}, language = {en} } @unpublished{LaeuterRamadan2010, author = {L{\"a}uter, Henning and Ramadan, Ayad}, title = {Modeling and Scaling of Categorical Data}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-49572}, year = {2010}, abstract = {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.}, language = {de} } @unpublished{LaeuterLiero2004, author = {L{\"a}uter, Henning and Liero, Hannelore}, title = {Nonparametric estimation and testing in survival models}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-51586}, year = {2004}, abstract = {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.}, language = {en} } @unpublished{Laeuter2006, author = {L{\"a}uter, Henning}, title = {On approximate likelihood in survival models}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-51615}, year = {2006}, abstract = {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.}, language = {en} } @unpublished{Laeuter2003, author = {L{\"a}uter, Henning}, title = {Estimation in partly parametric additive Cox models}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-51509}, year = {2003}, abstract = {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.}, language = {en} } @unpublished{Laeuter2008, author = {L{\"a}uter, Henning}, title = {Empirical Minimax Linear Estimates}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-49483}, year = {2008}, abstract = {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.}, language = {en} } @unpublished{LyTarkhanov2013, author = {Ly, Ibrahim and Tarkhanov, Nikolai Nikolaevich}, title = {Generalised Beltrami equations}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-67416}, year = {2013}, abstract = {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.}, language = {en} } @unpublished{LyTarkhanov2015, author = {Ly, Ibrahim and Tarkhanov, Nikolai Nikolaevich}, title = {A Rad{\´o} theorem for p-harmonic functions}, volume = {4}, number = {3}, publisher = {Universit{\"a}tsverlag Potsdam}, address = {Potsdam}, issn = {2193-6943}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus4-71492}, pages = {10}, year = {2015}, abstract = {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.}, language = {en} } @unpublished{LyTarkhanov2015, author = {Ly, Ibrahim and Tarkhanov, Nikolai Nikolaevich}, title = {Asymptotic expansions at nonsymmetric cuspidal points}, volume = {4}, number = {7}, publisher = {Universit{\"a}tsverlag Potsdam}, address = {Potsdam}, issn = {2193-6943}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus4-78199}, pages = {11}, year = {2015}, abstract = {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.}, language = {en} } @unpublished{LyTarkhanov2007, author = {Ly, I. and Tarkhanov, Nikolai Nikolaevich}, title = {The cauchy problem for nonlinear elliptic equations}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-30228}, year = {2007}, abstract = {This paper is devoted to investigation of the Cauchy problem for nonlinear elliptic equations with a small parameter.}, language = {en} } @unpublished{Lukaschewitsch1998, author = {Lukaschewitsch, Michael}, title = {Geoelectrical conductivity problems on unbounded domains}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-14704}, year = {1998}, abstract = {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. Poincar{\´e} 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.}, language = {en} } @unpublished{LuckeSteinmetz2014, author = {Lucke, Ulrike and Steinmetz, Ralf}, title = {Special issue on "Pervasive Education"}, series = {Pervasive and mobile computing}, volume = {14}, journal = {Pervasive and mobile computing}, publisher = {Elsevier}, address = {Amsterdam}, issn = {1574-1192}, doi = {10.1016/j.pmcj.2014.08.001}, pages = {1 -- 2}, year = {2014}, language = {en} } @unpublished{LouisRouquier2009, author = {Louis, Pierre-Yves and Rouquier, Jean-Baptiste}, title = {Time-to-Coalescence for interacting particle systems : parallel versus sequential updating}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-49454}, year = {2009}, abstract = {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.}, language = {en} }