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Author ID: kirsch.werner Recent zbMATH articles by "Kirsch, Werner"
Published as: Kirsch, Werner; Kirsch, W.
Homepage: https://www.fernuni-hagen.de/stochastik/team/werner.kirsch.shtml
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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

Publications by Year

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 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

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