Edit Profile (opens in new tab) Kirsch, Werner Co-Author Distance Author ID: kirsch.werner Published as: Kirsch, Werner; Kirsch, W. Homepage: https://www.fernuni-hagen.de/stochastik/team/werner.kirsch.shtml External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef Documents Indexed: 132 Publications since 1980, including 3 Books and 9 Additional arXiv Preprints 4 Contributions as Editor Reviewing Activity: 5 Reviews Co-Authors: 68 Co-Authors with 111 Joint Publications 2,203 Co-Co-Authors all top 5 Co-Authors 19 single-authored 12 Grycko, Eugen 10 Krishna, Maddaly 10 Pastur, Leonid Andreevich 8 Martinelli, Fabio 8 Simon, Barry 7 Fleermann, Michael 6 Gesztesy, Fritz 6 Kriecherbauer, Thomas 6 Mühlenbruch, Tobias 5 Albeverio, Sergio A. 5 Demuth, Michael 5 Hislop, Peter D. 5 Høegh-Krohn, Raphael J. 5 Warzel, Simone 4 Molchanov, Stanislav Alekseevich 4 Müller, Peter 4 Raikov, Georgi D. 4 Stollmann, Peter 3 Holden, Helge 3 Hundertmark, Dirk 3 Klopp, Frédéric 3 Rentmeister, Jens 3 Stolz, Gunter 3 Veselić, Ivan 2 Girko, Vyacheslav Leonidovich 2 Jeske, Frank 2 Khorunzhy, Alexei M. 2 Kutzelnigg, Almut 2 Langner, Jessica 2 Leschke, Hajo 2 McGillivray, Ivor 2 Metzger, Bernd 1 Asatryan, Hayk A. 1 Baake, Michael 1 Böcker, Stefan 1 Boratyn, Daria 1 Broderix, Kurt 1 Catalano, Riccardo 1 Cycon, Hans L. 1 Disertori, Margherita 1 Drabkin, Maxim 1 Droese, J. 1 Englisch, Harald 1 Figari, Rodolfo 1 Froese, Richard 1 Götze, Friedrich 1 Hempel, Rainer 1 Hochstättler, Winfried 1 Khorunzhiy, Oleksiy 1 Khoruzhenko, Boris A. 1 Klein, Abel 1 Könenberg, Martin 1 Kotlyarov, Vladimir P. 1 Krejčiřík, David 1 Lenoble, Olivier 1 Li, Jun 1 Müller, Detlef 1 Najar, Hatem 1 Nitzschner, Frank 1 Obermeit, J. 1 Rivasseau, Vincent 1 Schröder, Manfred 1 Schulz-Baldes, Hermann 1 Słomczyński, Wojciech 1 Stolicki, Dariusz 1 Stork, Hans-Georg 1 Vaĭnberg, Boris Rufimovich 1 Życzkowski, Karol all top 5 Serials 9 International Journal of Pure and Applied Mathematics 8 Communications in Mathematical Physics 8 Random Operators and Stochastic Equations 5 Journal of Statistical Physics 5 Mathematical Physics, Analysis and Geometry 4 Mathematische Zeitschrift 4 Journal of Theoretical Probability 3 Journal of Mathematical Physics 3 Journal of Physics A: Mathematical and General 3 Annales Henri Poincaré 3 Oberwolfach Reports 2 Journal of Functional Analysis 2 Journal für die Reine und Angewandte Mathematik 2 Journal of Operator Theory 2 Advances in Applied Mathematics 2 Mathematical Social Sciences 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Annales de l’Institut Henri Poincaré. Physique Théorique 2 General Mathematics 2 Markov Processes and Related Fields 1 Journal of Mathematical Analysis and Applications 1 Letters in Mathematical Physics 1 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV) 1 Arkiv för Matematik 1 Reviews in Mathematical Physics 1 Duke Mathematical Journal 1 Functional Analysis and its Applications 1 Integral Equations and Operator Theory 1 Mathematische Nachrichten 1 Proceedings of the American Mathematical Society 1 Statistics & Probability Letters 1 Social Choice and Welfare 1 The Annals of Applied Probability 1 Annals of Physics 1 Communications in Partial Differential Equations 1 Stochastic Processes and their Applications 1 Electronic Journal of Probability 1 Sbornik: Mathematics 1 Journal of Evolution Equations 1 Stochastics 1 Journal of Mathematical Physics, Analysis, Geometry 1 Panoramas et Synthèses 1 Münster Journal of Mathematics 1 Applied and Computational Mathematics 1 Probability Surveys 1 Journal of Spectral Theory 1 Operator Theory: Advances and Applications all top 5 Fields 66 Probability theory and stochastic processes (60-XX) 62 Statistical mechanics, structure of matter (82-XX) 42 Partial differential equations (35-XX) 42 Quantum theory (81-XX) 33 Operator theory (47-XX) 9 Ordinary differential equations (34-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 General and overarching topics; collections (00-XX) 4 Combinatorics (05-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Difference and functional equations (39-XX) 2 Fluid mechanics (76-XX) 1 History and biography (01-XX) 1 Topological groups, Lie groups (22-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Functional analysis (46-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 87 Publications have been cited 1,827 times in 1,311 Documents Cited by ▼ Year ▼ Schrödinger operators, with application to quantum mechanics and global geometry. Zbl 0619.47005 Cycon, H. L.; Froese, R. G.; Kirsch, W.; Simon, B. 687 1987 An invitation to random Schrödinger operators. Zbl 1162.82004 Kirsch, Werner 131 2008 On the spectrum of Schrödinger operators with a random potential. Zbl 0506.60058 Kirsch, Werner; Martinelli, Fabio 71 1982 Comparison theorems for the gap of Schrödinger operators. Zbl 0661.35062 Kirsch, Werner; Simon, Barry 61 1987 On the density of states of Schrödinger operators with a random potential. Zbl 0492.60055 Kirsch, Werner; Martinelli, Fabio 54 1982 The integrand density of states for random Schrödinger operators. Zbl 1208.82028 Kirsch, Werner; Metzger, Bernd 53 2007 On the ergodic properties of the spectrum of general random operators. Zbl 0476.60058 Kirsch, W.; Martinelli, F. 42 1982 Large deviations and Lifshitz singularity of the integrated density of states of random Hamiltonians. Zbl 0517.60071 Kirsch, Werner; Martinelli, Fabio 38 1983 Anderson localization for random Schrödinger operators with long range interactions. Zbl 0928.47049 Kirsch, Werner; Stollmann, Peter; Stolz, Günter 37 1998 Localization for random perturbations of periodic Schrödinger operators. Zbl 0927.60067 Kirsch, Werner; Stollmann, Peter; Stolz, Günter 34 1998 Corrections to the classical behavior of the number of bound states of Schrödinger operators. Zbl 0646.35019 Kirsch, Werner; Simon, Barry 31 1988 Wegner estimates and Anderson localization for alloy-type potentials. Zbl 0863.35069 Kirsch, W. 30 1996 One-dimensional Schrödinger operators with interactions singular on a discrete set. Zbl 0565.34018 Gesztesy, F.; Kirsch, W. 28 1985 Random Schrödinger operators. Zbl 0712.35070 Kirsch, Werner 26 1989 Lifshitz tails for periodic plus random potentials. Zbl 0629.60077 Kirsch, W.; Simon, B. 22 1986 Spectral properties of the Laplacian on bond-percolation graphs. Zbl 1087.60073 Kirsch, Werner; Müller, Peter 22 2006 Universal lower bounds on eigenvalue splittings for one dimensional Schrödinger operators. Zbl 0579.34014 Kirsch, W.; Simon, B. 20 1985 Absence of absolutely continuous spectrum for some one dimensional random but deterministic Schrödinger operators. Zbl 0581.60052 Kirsch, W.; Kotani, S.; Simon, B. 20 1985 On point interactions in one dimension. Zbl 0561.35023 Albeverio, Sergio; Gesztesy, Friedrich; Høegh-Krohn, Raphael; Kirsch, W. 17 1984 Random Hamiltonians ergodic in all but one direction. Zbl 0691.60053 Englisch, H.; Kirsch, W.; Schröder, M.; Simon, B. 17 1990 On a class of random Schrödinger operators. Zbl 0578.60059 Kirsch, W. 17 1985 One-dimensional Schrödinger operator with unbounded potential: The pure point spectrum. Zbl 0747.47023 Kirsch, W.; Molchanov, S. A.; Pastur, L. A. 17 1990 Random Schrödinger operators. Zbl 1151.35002 Disertori, Margherita; Kirsch, Werner; Klein, Abel; Klopp, Frédéric; Rivasseau, Vincent 16 2008 Spectral theory of sparse potentials. Zbl 1016.81024 Hundertmark, Dirk; Kirsch, Werner 13 2000 Lifshitz tails for spectra of Erdős-Rényi random graphs. Zbl 1113.05311 Khorunzhiy, Oleksiy; Kirsch, Werner; Müller, Peter 13 2006 Small perturbations and the eigenvalues of the Laplacian on large bounded domains. Zbl 0643.35074 Kirsch, Werner 12 1987 Anderson model with decaying randomness: Mobility edge. Zbl 0996.60077 Kirsch, W.; Krishna, M.; Obermeit, J. 12 2000 A Wegner estimate for multi-particle random Hamiltonians. Zbl 1154.82014 Kirsch, Werner 12 2008 Semicircle law for a matrix ensemble with dependent entries. Zbl 1388.60028 Hochstättler, Winfried; Kirsch, Werner; Warzel, Simone 12 2016 On energy gaps in a new type of analytically solvable model in quantum mechanics. Zbl 0669.47002 Gesztesy, F.; Holden, H.; Kirsch, W. 11 1988 On the essential selfadjointness of stochastic Schrödinger operators. Zbl 0543.60069 Kirsch, Werner; Martinelli, Fabio 11 1983 Spectral and dynamical properties of random models with nonlocal and singular interactions. Zbl 1123.82011 Hislop, Peter D.; Kirsch, Werner; Krishna, M. 11 2005 Lifshitz tails for a class of Schrödinger operators with random breather-type potential. Zbl 1198.35064 Kirsch, Werner; Veselić, Ivan 11 2010 The fate of Lifshits tails in magnetic fields. Zbl 1081.82572 Broderix, Kurt; Hundertmark, Dirk; Kirsch, Werner; Leschke, Hajo 10 1995 On the synthesis problem for orbits of Lie groups in \(R^ n\). Zbl 0478.43004 Kirsch, W.; Mueller, D. 9 1980 Power indices and minimal winning coalitions. Zbl 1201.91050 Kirsch, Werner; Langner, Jessica 9 2010 Wegner estimate for sparse and other generalized alloy type potentials. Zbl 1003.60064 Kirsch, Werner; Veselić, Ivan 9 2002 On asymptotic expansions and scales of spectral universality in band random matrix ensembles. Zbl 1034.82022 Khorunzhy, A.; Kirsch, W. 9 2002 On the analogues of Szegő’s theorem for ergodic operators. Zbl 1312.47051 Kirsch, W.; Pastur, L. A. 9 2015 Two groups in a Curie-Weiss model with heterogeneous coupling. Zbl 1469.60081 Kirsch, Werner; Toth, Gabor 9 2020 Time asymptotics for solutions of the Burgers equation with a periodic force. Zbl 0938.35157 Kirsch, Werner; Kutzelnigg, Almut 8 1999 One dimensional Schrödinger operators with high potential barriers. Zbl 0883.34078 Kirsch, W.; Molchanov, S. A.; Pastur, L. A. 8 1992 Schrödinger operators – geometric estimates in terms of the occupation time. Zbl 0822.35032 Demuth, M.; Kirsch, W.; McGillivray, I. 7 1995 Lifshits tails caused by anisotropic decay: the emergence of a quantum-classical regime. Zbl 1093.82011 Kirsch, Werner; Warzel, Simone 7 2005 Transport in the random Kronig-Penney model. Zbl 1278.82050 Drabkin, Maxim; Kirsch, Werner; Schulz-Baldes, Hermann 7 2012 Two groups in a Curie-Weiss model. Zbl 1446.60021 Kirsch, Werner; Toth, Gabor 7 2020 Random block operators. Zbl 1229.82099 Kirsch, Werner; Metzger, Bernd; Müller, Peter 6 2011 Über Spektren stochastischer Schrödingeroperatoren. Zbl 0531.35066 Kirsch, Werner 6 1981 On the Mott formula for the ac conductivity and binary correlators in the strong localization regime of disordered systems. Zbl 1106.82370 Kirsch, W.; Lenoble, O.; Pastur, L. 6 2003 Semicircle law for generalized Curie-Weiss matrix ensembles at subcritical temperature. Zbl 1428.60017 Kirsch, Werner; Kriecherbauer, Thomas 6 2018 The interband light absorption coefficient in the weak disorder regime: An asymptotically exactly solvable model. Zbl 0836.60115 Khoruzhenko, B. A.; Kirsch, W.; Pastur, L. A. 5 1994 Anderson localization and Lifshits tails for random surface potentials. Zbl 1127.82033 Kirsch, Werner; Warzel, Simone 5 2006 An elementary proof of de Finetti’s theorem. Zbl 1459.60077 Kirsch, Werner 5 2019 The spectrum of the three-dimensional Kronig-Penney model with random point defects. Zbl 0513.60062 Albeverio, Sergio; Høegh-Krohn, Raphael; Kirsch, W.; Martinelli, Fabio 4 1982 Random Schrödinger operators and the density of states. Zbl 0567.35021 Kirsch, Werner 4 1985 Spectral theory for nonstationary random potentials. Zbl 1160.82329 Böcker, Stefan; Kirsch, Werner; Stollmann, Peter 4 2005 Existence of the density of states for one-dimensional alloy-type potentials with small support. Zbl 1042.35061 Kirsch, Werner; Veselić, Ivan 4 2002 The stability of the density of states of Schrödinger operator under very small perturbations. Zbl 0685.35081 Kirsch, Werner 3 1989 Classical magnetic Lifshits tails in three space dimensions: impurity potentials with slow anisotropic decay. Zbl 1213.82046 Hundertmark, D.; Kirsch, W.; Warzel, S. 3 2003 Quasi 1D localization: deterministic and random potentials. Zbl 1213.82048 Kirsch, W.; Molchanov, S.; Pastur, L.; Vainberg, B. 3 2003 The band-edge behavior of the density of surfacic states. Zbl 1173.39304 Kirsch, Werner; Klopp, Frédéric 3 2005 The large-time asymptotics of some Wiener integrals and the interband light absorption coefficient in the deep fluctuation spectrum. Zbl 0727.60121 Kirsch, W.; Pastur, L. A. 3 1990 Random Schrödinger operators with a background potential. Zbl 1439.35146 Asatryan, Hayk; Kirsch, Werner 3 2019 Eigenvalue statistics for Schrödinger operators with random point interactions on \(\mathbb{R}^d, d = 1, 2, 3\). Zbl 1454.81065 Hislop, Peter D.; Kirsch, Werner; Krishna, M. 3 2020 Spectral statistics for Anderson models with sporadic potentials. Zbl 1448.60149 Kirsch, Werner; Krishna, Maddaly 3 2020 Local central limit theorem for multi-group Curie-Weiss models. Zbl 1523.60052 Fleermann, Michael; Kirsch, Werner; Toth, Gabor 3 2022 Sixty years of moments for random matrices. Zbl 1401.60012 Kirsch, Werner; Kriecherbauer, Thomas 3 2018 Some results on the spectra of random Schrödinger operators and their application to random point interaction models in one and three dimensions. Zbl 0513.60061 Kirsch, W.; Martinelli, F. 2 1982 Asymptotics of the interband light absorption coefficient near the band edge for an alloy-type model. Zbl 1079.82536 Kirsch, W.; Pastur, L. A.; Stork, H. 2 1998 A necessary and sufficient condition for the semicircle law. Zbl 0842.60021 Girko, V.; Kirsch, W.; Kutzelnigg, A. 2 1994 Lifshitz-tails and non-Lifshitz-tails for one-dimensional random point interactions. Zbl 0711.60063 Kirsch, Werner; Nitzschner, Frank 2 1990 Lifshits tails for randomly twisted quantum waveguides. Zbl 1395.82107 Kirsch, Werner; Krejčiřík, David; Raikov, Georgi 2 2018 Limit of infinite band width for product of two random matrices. Zbl 0894.15010 Khorunzhy, A.; Kirsch, W. 1 1997 Strong magnetic field asymptotics of the integrated density of states for a random 3D Schrödinger operator. Zbl 0972.35025 Kirsch, W.; Raikov, G. D. 1 2000 Approach to equilibrium for a forced Burgers equation. Zbl 0996.35010 Kirsch, Werner; Simon, Barry 1 2001 The Schrödinger operator for a particle in a solid with deterministic and stochastic point interactions. Zbl 0607.35028 Albeverio, Sergio; Gesztesy, Friedrich; Høegh-Krohn, Raphael; Holden, Helge; Kirsch, W. 1 1986 On the integrated density of states for crystals with randomly distributed impurities. Zbl 0790.60055 Hempel, Rainer; Kirsch, Werner 1 1994 Rate of convergence for large coupling limits by Brownian motion. Zbl 0801.60053 Demuth, M.; Jeske, F.; Kirsch, W. 1 1993 A mathematical view on voting and power. Zbl 1354.91004 Kirsch, Werner 1 2016 Random Schrödinger operators with wavelet interactions. Zbl 1085.47506 Hislop, P.; Kirsch, W.; Krishna, M. 1 2001 Scattering theory for sparse random potentials. Zbl 1005.47010 Kirsch, Werner 1 2002 The Curie-Weiss model – an approach using moments. Zbl 1445.60021 Kirsch, Werner 1 2020 Lifshitz tails for the interband light absorption coefficient. Zbl 1202.82042 Kirsch, W.; Krishna, M. 1 2010 Average weights and power in weighted voting games. Zbl 1461.91019 Boratyn, Daria; Kirsch, Werner; Słomczyński, Wojciech; Stolicki, Dariusz; Życzkowski, Karol 1 2020 Mathematical physics, spectral theory and stochastic analysis. Zbl 1264.00036 1 2013 Proof methods in random matrix theory. Zbl 1522.60017 Fleermann, Michael; Kirsch, Werner 1 2023 Random matrices with exchangeable entries. Zbl 1458.60016 Kirsch, Werner; Kriecherbauer, Thomas 1 2020 Proof methods in random matrix theory. Zbl 1522.60017 Fleermann, Michael; Kirsch, Werner 1 2023 Local central limit theorem for multi-group Curie-Weiss models. Zbl 1523.60052 Fleermann, Michael; Kirsch, Werner; Toth, Gabor 3 2022 Two groups in a Curie-Weiss model with heterogeneous coupling. Zbl 1469.60081 Kirsch, Werner; Toth, Gabor 9 2020 Two groups in a Curie-Weiss model. Zbl 1446.60021 Kirsch, Werner; Toth, Gabor 7 2020 Eigenvalue statistics for Schrödinger operators with random point interactions on \(\mathbb{R}^d, d = 1, 2, 3\). Zbl 1454.81065 Hislop, Peter D.; Kirsch, Werner; Krishna, M. 3 2020 Spectral statistics for Anderson models with sporadic potentials. Zbl 1448.60149 Kirsch, Werner; Krishna, Maddaly 3 2020 The Curie-Weiss model – an approach using moments. Zbl 1445.60021 Kirsch, Werner 1 2020 Average weights and power in weighted voting games. Zbl 1461.91019 Boratyn, Daria; Kirsch, Werner; Słomczyński, Wojciech; Stolicki, Dariusz; Życzkowski, Karol 1 2020 Random matrices with exchangeable entries. Zbl 1458.60016 Kirsch, Werner; Kriecherbauer, Thomas 1 2020 An elementary proof of de Finetti’s theorem. Zbl 1459.60077 Kirsch, Werner 5 2019 Random Schrödinger operators with a background potential. Zbl 1439.35146 Asatryan, Hayk; Kirsch, Werner 3 2019 Semicircle law for generalized Curie-Weiss matrix ensembles at subcritical temperature. Zbl 1428.60017 Kirsch, Werner; Kriecherbauer, Thomas 6 2018 Sixty years of moments for random matrices. Zbl 1401.60012 Kirsch, Werner; Kriecherbauer, Thomas 3 2018 Lifshits tails for randomly twisted quantum waveguides. Zbl 1395.82107 Kirsch, Werner; Krejčiřík, David; Raikov, Georgi 2 2018 Semicircle law for a matrix ensemble with dependent entries. Zbl 1388.60028 Hochstättler, Winfried; Kirsch, Werner; Warzel, Simone 12 2016 A mathematical view on voting and power. Zbl 1354.91004 Kirsch, Werner 1 2016 On the analogues of Szegő’s theorem for ergodic operators. Zbl 1312.47051 Kirsch, W.; Pastur, L. A. 9 2015 Mathematical physics, spectral theory and stochastic analysis. Zbl 1264.00036 1 2013 Transport in the random Kronig-Penney model. Zbl 1278.82050 Drabkin, Maxim; Kirsch, Werner; Schulz-Baldes, Hermann 7 2012 Random block operators. Zbl 1229.82099 Kirsch, Werner; Metzger, Bernd; Müller, Peter 6 2011 Lifshitz tails for a class of Schrödinger operators with random breather-type potential. Zbl 1198.35064 Kirsch, Werner; Veselić, Ivan 11 2010 Power indices and minimal winning coalitions. Zbl 1201.91050 Kirsch, Werner; Langner, Jessica 9 2010 Lifshitz tails for the interband light absorption coefficient. Zbl 1202.82042 Kirsch, W.; Krishna, M. 1 2010 An invitation to random Schrödinger operators. Zbl 1162.82004 Kirsch, Werner 131 2008 Random Schrödinger operators. Zbl 1151.35002 Disertori, Margherita; Kirsch, Werner; Klein, Abel; Klopp, Frédéric; Rivasseau, Vincent 16 2008 A Wegner estimate for multi-particle random Hamiltonians. Zbl 1154.82014 Kirsch, Werner 12 2008 The integrand density of states for random Schrödinger operators. Zbl 1208.82028 Kirsch, Werner; Metzger, Bernd 53 2007 Spectral properties of the Laplacian on bond-percolation graphs. Zbl 1087.60073 Kirsch, Werner; Müller, Peter 22 2006 Lifshitz tails for spectra of Erdős-Rényi random graphs. Zbl 1113.05311 Khorunzhiy, Oleksiy; Kirsch, Werner; Müller, Peter 13 2006 Anderson localization and Lifshits tails for random surface potentials. Zbl 1127.82033 Kirsch, Werner; Warzel, Simone 5 2006 Spectral and dynamical properties of random models with nonlocal and singular interactions. Zbl 1123.82011 Hislop, Peter D.; Kirsch, Werner; Krishna, M. 11 2005 Lifshits tails caused by anisotropic decay: the emergence of a quantum-classical regime. Zbl 1093.82011 Kirsch, Werner; Warzel, Simone 7 2005 Spectral theory for nonstationary random potentials. Zbl 1160.82329 Böcker, Stefan; Kirsch, Werner; Stollmann, Peter 4 2005 The band-edge behavior of the density of surfacic states. Zbl 1173.39304 Kirsch, Werner; Klopp, Frédéric 3 2005 On the Mott formula for the ac conductivity and binary correlators in the strong localization regime of disordered systems. Zbl 1106.82370 Kirsch, W.; Lenoble, O.; Pastur, L. 6 2003 Classical magnetic Lifshits tails in three space dimensions: impurity potentials with slow anisotropic decay. Zbl 1213.82046 Hundertmark, D.; Kirsch, W.; Warzel, S. 3 2003 Quasi 1D localization: deterministic and random potentials. Zbl 1213.82048 Kirsch, W.; Molchanov, S.; Pastur, L.; Vainberg, B. 3 2003 Wegner estimate for sparse and other generalized alloy type potentials. Zbl 1003.60064 Kirsch, Werner; Veselić, Ivan 9 2002 On asymptotic expansions and scales of spectral universality in band random matrix ensembles. Zbl 1034.82022 Khorunzhy, A.; Kirsch, W. 9 2002 Existence of the density of states for one-dimensional alloy-type potentials with small support. Zbl 1042.35061 Kirsch, Werner; Veselić, Ivan 4 2002 Scattering theory for sparse random potentials. Zbl 1005.47010 Kirsch, Werner 1 2002 Approach to equilibrium for a forced Burgers equation. Zbl 0996.35010 Kirsch, Werner; Simon, Barry 1 2001 Random Schrödinger operators with wavelet interactions. Zbl 1085.47506 Hislop, P.; Kirsch, W.; Krishna, M. 1 2001 Spectral theory of sparse potentials. Zbl 1016.81024 Hundertmark, Dirk; Kirsch, Werner 13 2000 Anderson model with decaying randomness: Mobility edge. Zbl 0996.60077 Kirsch, W.; Krishna, M.; Obermeit, J. 12 2000 Strong magnetic field asymptotics of the integrated density of states for a random 3D Schrödinger operator. Zbl 0972.35025 Kirsch, W.; Raikov, G. D. 1 2000 Time asymptotics for solutions of the Burgers equation with a periodic force. Zbl 0938.35157 Kirsch, Werner; Kutzelnigg, Almut 8 1999 Anderson localization for random Schrödinger operators with long range interactions. Zbl 0928.47049 Kirsch, Werner; Stollmann, Peter; Stolz, Günter 37 1998 Localization for random perturbations of periodic Schrödinger operators. Zbl 0927.60067 Kirsch, Werner; Stollmann, Peter; Stolz, Günter 34 1998 Asymptotics of the interband light absorption coefficient near the band edge for an alloy-type model. Zbl 1079.82536 Kirsch, W.; Pastur, L. A.; Stork, H. 2 1998 Limit of infinite band width for product of two random matrices. Zbl 0894.15010 Khorunzhy, A.; Kirsch, W. 1 1997 Wegner estimates and Anderson localization for alloy-type potentials. Zbl 0863.35069 Kirsch, W. 30 1996 The fate of Lifshits tails in magnetic fields. Zbl 1081.82572 Broderix, Kurt; Hundertmark, Dirk; Kirsch, Werner; Leschke, Hajo 10 1995 Schrödinger operators – geometric estimates in terms of the occupation time. Zbl 0822.35032 Demuth, M.; Kirsch, W.; McGillivray, I. 7 1995 The interband light absorption coefficient in the weak disorder regime: An asymptotically exactly solvable model. Zbl 0836.60115 Khoruzhenko, B. A.; Kirsch, W.; Pastur, L. A. 5 1994 A necessary and sufficient condition for the semicircle law. Zbl 0842.60021 Girko, V.; Kirsch, W.; Kutzelnigg, A. 2 1994 On the integrated density of states for crystals with randomly distributed impurities. Zbl 0790.60055 Hempel, Rainer; Kirsch, Werner 1 1994 Rate of convergence for large coupling limits by Brownian motion. Zbl 0801.60053 Demuth, M.; Jeske, F.; Kirsch, W. 1 1993 One dimensional Schrödinger operators with high potential barriers. Zbl 0883.34078 Kirsch, W.; Molchanov, S. A.; Pastur, L. A. 8 1992 Random Hamiltonians ergodic in all but one direction. Zbl 0691.60053 Englisch, H.; Kirsch, W.; Schröder, M.; Simon, B. 17 1990 One-dimensional Schrödinger operator with unbounded potential: The pure point spectrum. Zbl 0747.47023 Kirsch, W.; Molchanov, S. A.; Pastur, L. A. 17 1990 The large-time asymptotics of some Wiener integrals and the interband light absorption coefficient in the deep fluctuation spectrum. Zbl 0727.60121 Kirsch, W.; Pastur, L. A. 3 1990 Lifshitz-tails and non-Lifshitz-tails for one-dimensional random point interactions. Zbl 0711.60063 Kirsch, Werner; Nitzschner, Frank 2 1990 Random Schrödinger operators. Zbl 0712.35070 Kirsch, Werner 26 1989 The stability of the density of states of Schrödinger operator under very small perturbations. Zbl 0685.35081 Kirsch, Werner 3 1989 Corrections to the classical behavior of the number of bound states of Schrödinger operators. Zbl 0646.35019 Kirsch, Werner; Simon, Barry 31 1988 On energy gaps in a new type of analytically solvable model in quantum mechanics. Zbl 0669.47002 Gesztesy, F.; Holden, H.; Kirsch, W. 11 1988 Schrödinger operators, with application to quantum mechanics and global geometry. Zbl 0619.47005 Cycon, H. L.; Froese, R. G.; Kirsch, W.; Simon, B. 687 1987 Comparison theorems for the gap of Schrödinger operators. Zbl 0661.35062 Kirsch, Werner; Simon, Barry 61 1987 Small perturbations and the eigenvalues of the Laplacian on large bounded domains. Zbl 0643.35074 Kirsch, Werner 12 1987 Lifshitz tails for periodic plus random potentials. Zbl 0629.60077 Kirsch, W.; Simon, B. 22 1986 The Schrödinger operator for a particle in a solid with deterministic and stochastic point interactions. Zbl 0607.35028 Albeverio, Sergio; Gesztesy, Friedrich; Høegh-Krohn, Raphael; Holden, Helge; Kirsch, W. 1 1986 One-dimensional Schrödinger operators with interactions singular on a discrete set. Zbl 0565.34018 Gesztesy, F.; Kirsch, W. 28 1985 Universal lower bounds on eigenvalue splittings for one dimensional Schrödinger operators. Zbl 0579.34014 Kirsch, W.; Simon, B. 20 1985 Absence of absolutely continuous spectrum for some one dimensional random but deterministic Schrödinger operators. Zbl 0581.60052 Kirsch, W.; Kotani, S.; Simon, B. 20 1985 On a class of random Schrödinger operators. Zbl 0578.60059 Kirsch, W. 17 1985 Random Schrödinger operators and the density of states. Zbl 0567.35021 Kirsch, Werner 4 1985 On point interactions in one dimension. Zbl 0561.35023 Albeverio, Sergio; Gesztesy, Friedrich; Høegh-Krohn, Raphael; Kirsch, W. 17 1984 Large deviations and Lifshitz singularity of the integrated density of states of random Hamiltonians. Zbl 0517.60071 Kirsch, Werner; Martinelli, Fabio 38 1983 On the essential selfadjointness of stochastic Schrödinger operators. Zbl 0543.60069 Kirsch, Werner; Martinelli, Fabio 11 1983 On the spectrum of Schrödinger operators with a random potential. Zbl 0506.60058 Kirsch, Werner; Martinelli, Fabio 71 1982 On the density of states of Schrödinger operators with a random potential. Zbl 0492.60055 Kirsch, Werner; Martinelli, Fabio 54 1982 On the ergodic properties of the spectrum of general random operators. Zbl 0476.60058 Kirsch, W.; Martinelli, F. 42 1982 The spectrum of the three-dimensional Kronig-Penney model with random point defects. Zbl 0513.60062 Albeverio, Sergio; Høegh-Krohn, Raphael; Kirsch, W.; Martinelli, Fabio 4 1982 Some results on the spectra of random Schrödinger operators and their application to random point interaction models in one and three dimensions. Zbl 0513.60061 Kirsch, W.; Martinelli, F. 2 1982 Über Spektren stochastischer Schrödingeroperatoren. Zbl 0531.35066 Kirsch, Werner 6 1981 On the synthesis problem for orbits of Lie groups in \(R^ n\). Zbl 0478.43004 Kirsch, W.; Mueller, D. 9 1980 all cited Publications top 5 cited Publications all top 5 Cited by 1,220 Authors 43 Veselić, Ivan 42 Kirsch, Werner 34 Damanik, David 33 Simon, Barry 28 Stolz, Gunter 27 Klopp, Frédéric 25 Klein, Abel 21 Hislop, Peter D. 18 Müller, Peter 17 Lenz, Daniel H. 17 Sigal, Israel Michael 15 Chulaevsky, Victor 15 Germinet, François 15 Nakamura, Shu 14 Albeverio, Sergio A. 14 Helffer, Bernard 14 Raikov, Georgi D. 13 Elgart, Alexander 13 Erdős, László 13 Stollmann, Peter 12 Fillman, Jake 12 Jitomirskaya, Svetlana Yakovlevna 12 Raymond, Nicolas 11 Borisov, Denis Ivanovich 11 Gesztesy, Fritz 11 Täufer, Matthias 11 Tautenhahn, Martin 10 Hundertmark, Dirk 10 Najar, Hatem 9 Combes, Jean-Michel 9 Gérard, Christian 9 Schulz-Baldes, Hermann 9 Vougalter, Vitali 8 Exner, Pavel 8 Gorodetskii, Anton Semenovich 8 Kuchment, Peter A. 8 Martinelli, Fabio 8 Pastur, Leonid Andreevich 8 Pinchover, Yehuda 8 Warzel, Simone 7 Boumaza, Hakim 7 Boutet de Monvel, Anne Marie 7 de Oliveira, César R. 7 Feireisl, Eduard 7 Gebert, Martin 7 Hempel, Rainer 7 Kerner, Joachim 7 Krejčiřík, David 7 Krüger, Helge 7 Loss, Michael 7 Nakano, Fumihiko 7 Ourmiéres-Bonafos, Thomas 7 Pankrashkin, Konstantin 7 Rojas-Molina, Constanza 7 Schenker, Jeffrey H. 7 Ueki, Naomasa 7 Zhang, Shiwen 6 Chuburin, Yuriĭ Pavlovich 6 del Río Castillo, Rafael René 6 Høegh-Krohn, Raphael J. 6 Jecko, Thierry 6 Kovařík, Hynek 6 Last, Yoram 6 Leschke, Hajo 6 Löwe, Matthias 6 Milatovic, Ognjen 6 Nier, Francis 6 Sims, Robert L. 6 Vugal’ter, Semën Abramovich 5 Aizenman, Michael 5 Beckus, Siegfried 5 Bourget, Olivier 5 Cornean, Horia D. 5 Daletskii, Alexei 5 Denisov, Sergey A. 5 Ekanga, Trésor 5 Fanelli, Luca 5 Faupin, Jérémy 5 Fournais, Søren 5 Frank, Rupert L. 5 Froese, Richard 5 Fröhlich, Jürg Martin 5 Geyler, Vladimir A. 5 Gordon, Alexander Ya. 5 Hasler, David G. 5 Kaikina, Elena Igorevna 5 Krishna, Maddaly 5 Lotoreichik, Vladimir 5 Mine, Takuya 5 Naboko, Serguei N. 5 Naumkin, Pavel Ivanovich 5 Post, Olaf 5 Sjöstrand, Johannes 5 Soffer, Avraham 5 Spencer, Thomas C. 5 Vega, Luis 5 Yajima, Kenji 4 Adachi, Tadayoshi 4 Astaburuaga, María Angélica 4 Avila, Artur ...and 1,120 more Authors all top 5 Cited in 223 Serials 132 Communications in Mathematical Physics 107 Journal of Functional Analysis 91 Journal of Mathematical Physics 72 Journal of Statistical Physics 53 Annales Henri Poincaré 41 Journal of Mathematical Analysis and Applications 35 Letters in Mathematical Physics 32 Reviews in Mathematical Physics 27 Journal of Spectral Theory 25 Annales de l’Institut Henri Poincaré. Physique Théorique 22 Proceedings of the American Mathematical Society 22 Mathematical Physics, Analysis and Geometry 21 Duke Mathematical Journal 18 Integral Equations and Operator Theory 16 Theoretical and Mathematical Physics 15 Advances in Mathematics 15 Journal of Differential Equations 15 Transactions of the American Mathematical Society 13 Mathematische Annalen 13 Communications in Partial Differential Equations 12 Annales de l’Institut Fourier 12 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 11 Journal d’Analyse Mathématique 11 Mathematical Notes 11 Journal of Geometry and Physics 11 Comptes Rendus. Mathématique. Académie des Sciences, Paris 11 Journal of Physics A: Mathematical and Theoretical 10 St. Petersburg Mathematical Journal 9 Mathematische Zeitschrift 9 Calculus of Variations and Partial Differential Equations 8 Archive for Rational Mechanics and Analysis 8 Reports on Mathematical Physics 8 Functional Analysis and its Applications 8 Mathematische Nachrichten 7 Probability Theory and Related Fields 7 Random Operators and Stochastic Equations 6 Physics Letters. A 6 Inventiones Mathematicae 6 Publications of the Research Institute for Mathematical Sciences, Kyoto University 6 Journal of Theoretical Probability 6 Geometric and Functional Analysis. GAFA 6 Stochastic Processes and their Applications 6 Journal of the European Mathematical Society (JEMS) 5 Arkiv för Matematik 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Israel Journal of Mathematics 4 Nonlinearity 4 Journal of Computational and Applied Mathematics 4 Acta Applicandae Mathematicae 4 Constructive Approximation 4 Annals of Physics 4 Bulletin of the American Mathematical Society. New Series 4 Russian Journal of Mathematical Physics 4 Journal of Mathematical Sciences (New York) 4 Doklady Mathematics 4 Operators and Matrices 4 Advances in Mathematical Physics 3 Journal of Approximation Theory 3 Osaka Journal of Mathematics 3 Ergodic Theory and Dynamical Systems 3 Zeitschrift für Analysis und ihre Anwendungen 3 Mathematical Social Sciences 3 Social Choice and Welfare 3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 SIAM Journal on Mathematical Analysis 3 Mémoires de la Société Mathématique de France. Nouvelle Série 3 Electronic Journal of Probability 3 Documenta Mathematica 3 Infinite Dimensional Analysis, Quantum Probability and Related Topics 3 Differential Equations 3 Confluentes Mathematici 3 Journal of Pseudo-Differential Operators and Applications 3 Bulletin of Mathematical Sciences 2 Applicable Analysis 2 Classical and Quantum Gravity 2 Journal of Computational Physics 2 Mathematical Methods in the Applied Sciences 2 Rocky Mountain Journal of Mathematics 2 Russian Mathematical Surveys 2 Ukrainian Mathematical Journal 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Mathematics of Computation 2 Acta Mathematica 2 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 2 Applied Mathematics and Computation 2 Archiv der Mathematik 2 Journal für die Reine und Angewandte Mathematik 2 Memoirs of the American Mathematical Society 2 Semigroup Forum 2 Advances in Applied Mathematics 2 Annals of Global Analysis and Geometry 2 Applied Mathematics Letters 2 Journal of the American Mathematical Society 2 Asymptotic Analysis 2 Forum Mathematicum 2 Sugaku Expositions 2 The Annals of Applied Probability 2 Linear Algebra and its Applications 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics ...and 123 more Serials all top 5 Cited in 55 Fields 577 Partial differential equations (35-XX) 550 Quantum theory (81-XX) 513 Operator theory (47-XX) 367 Statistical mechanics, structure of matter (82-XX) 248 Probability theory and stochastic processes (60-XX) 131 Ordinary differential equations (34-XX) 93 Global analysis, analysis on manifolds (58-XX) 67 Functional analysis (46-XX) 63 Dynamical systems and ergodic theory (37-XX) 48 Difference and functional equations (39-XX) 34 Combinatorics (05-XX) 33 Linear and multilinear algebra; matrix theory (15-XX) 24 Optics, electromagnetic theory (78-XX) 17 Harmonic analysis on Euclidean spaces (42-XX) 17 Differential geometry (53-XX) 15 Abstract harmonic analysis (43-XX) 15 Fluid mechanics (76-XX) 14 Real functions (26-XX) 13 Mechanics of particles and systems (70-XX) 12 Topological groups, Lie groups (22-XX) 12 Numerical analysis (65-XX) 11 Potential theory (31-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 11 Manifolds and cell complexes (57-XX) 10 Special functions (33-XX) 10 Relativity and gravitational theory (83-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Measure and integration (28-XX) 8 Statistics (62-XX) 7 Number theory (11-XX) 7 Functions of a complex variable (30-XX) 6 Group theory and generalizations (20-XX) 6 Several complex variables and analytic spaces (32-XX) 5 History and biography (01-XX) 5 Algebraic geometry (14-XX) 5 Convex and discrete geometry (52-XX) 4 \(K\)-theory (19-XX) 4 Integral transforms, operational calculus (44-XX) 4 Computer science (68-XX) 4 Biology and other natural sciences (92-XX) 3 General and overarching topics; collections (00-XX) 3 Mechanics of deformable solids (74-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Mathematical logic and foundations (03-XX) 2 Associative rings and algebras (16-XX) 2 Nonassociative rings and algebras (17-XX) 2 Approximations and expansions (41-XX) 2 Integral equations (45-XX) 2 General topology (54-XX) 2 Systems theory; control (93-XX) 2 Information and communication theory, circuits (94-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) 1 Geophysics (86-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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