## Klopp, Frédéric

Compute Distance To:
 Author ID: klopp.frederic Published as: Klopp, Frédéric; Klopp, F. Homepage: https://webusers.imj-prg.fr/~frederic.klopp/ External Links: MGP · Math-Net.Ru
 Documents Indexed: 93 Publications since 1990, including 1 Book 1 Contribution as Editor Co-Authors: 33 Co-Authors with 58 Joint Publications 789 Co-Co-Authors
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### Co-Authors

 32 single-authored 17 Fedotov, Alexander 9 Hislop, Peter D. 8 Nakamura, Shu 7 Combes, Jean-Michel 3 Germinet, François 3 Kirsch, Werner 3 Raikov, Georgi D. 2 Ghribi, Fatma 2 Loss, Michael 2 Pankrashkin, Konstantin 2 Stolz, Gunter 2 Wolff, Thomas H. 2 Zenk, Heribert 1 Bach, Volker 1 Disertori, Margherita 1 Götze, Friedrich 1 Grébert, Benoît 1 Grigis, Alain 1 Guillot, Jean-Claude 1 Hislop, David 1 Klein, Abel 1 Kriecherbauer, Thomas 1 Marx, Magali 1 Metzger, Bernd 1 Nakano, Fumihiko 1 Nomura, Yuji 1 Pastur, Leonid Andreevich 1 Ralston, James V. 1 Rivasseau, Vincent 1 Schenker, Jeffrey H. 1 Veniaminov, Nikolaj A. 1 Vögel, Martin 1 Zworski, Maciej
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### Serials

 8 Communications in Mathematical Physics 7 Séminaire Équations aux Dérivées Partielles 5 Annales Henri Poincaré 3 Duke Mathematical Journal 3 Asymptotic Analysis 2 Helvetica Physica Acta 2 Journal of Mathematical Physics 2 Journal of Statistical Physics 2 Journal of Functional Analysis 2 IMRN. International Mathematics Research Notices 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Mathematical Physics, Analysis and Geometry 2 Analysis & PDE 1 Applicable Analysis 1 Journal d’Analyse Mathématique 1 Letters in Mathematical Physics 1 Mathematical Notes 1 Arkiv för Matematik 1 Reviews in Mathematical Physics 1 American Journal of Mathematics 1 Annales de l’Institut Fourier 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Bulletin de la Société Mathématique de France 1 Functional Analysis and its Applications 1 Gazette des Mathématiciens 1 Illinois Journal of Mathematics 1 Journal of Differential Equations 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Transactions of the American Mathematical Society 1 Probability Theory and Related Fields 1 Algebra i Analiz 1 Communications in Partial Differential Equations 1 SIAM Journal on Mathematical Analysis 1 Mémoires de la Société Mathématique de France. Nouvelle Série 1 Annales de l’Institut Henri Poincaré. Physique Théorique 1 St. Petersburg Mathematical Journal 1 Random Operators and Stochastic Equations 1 Methods and Applications of Analysis 1 Documenta Mathematica 1 Vietnam Journal of Mathematics 1 Markov Processes and Related Fields 1 Advances in Theoretical and Mathematical Physics 1 Journal of the European Mathematical Society (JEMS) 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Oberwolfach Reports 1 Panoramas et Synthèses 1 Journal of Physics A: Mathematical and Theoretical 1 RIMS Kôkyûroku Bessatsu 1 Advances in Mathematical Physics 1 Séminaire Laurent Schwartz. EDP et Applications 1 Pure and Applied Analysis
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### Fields

 49 Statistical mechanics, structure of matter (82-XX) 48 Quantum theory (81-XX) 47 Operator theory (47-XX) 32 Partial differential equations (35-XX) 29 Probability theory and stochastic processes (60-XX) 19 Ordinary differential equations (34-XX) 4 Difference and functional equations (39-XX) 2 General and overarching topics; collections (00-XX) 2 Number theory (11-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Mechanics of particles and systems (70-XX) 2 Optics, electromagnetic theory (78-XX) 1 Special functions (33-XX) 1 Systems theory; control (93-XX)

### Citations contained in zbMATH Open

78 Publications have been cited 735 times in 335 Documents Cited by Year
An optimal Wegner estimate and its application to the global continuity of the integrated density of states for random Schrödinger operators. Zbl 1134.81022
Combes, Jean-Michel; Hislop, Peter D.; Klopp, Frédéric
2007
Localization for some continuous random Schrödinger operators. Zbl 0820.60044
Klopp, Frédéric
1995
The integrated density of states for some random operators with nonsign definite potentials. Zbl 1013.60046
Hislop, Peter D.; Klopp, Frédéric
2002
Internal Lifshits tails for random perturbations of periodic Schrödinger operators. Zbl 1060.82509
Klopp, Frédéric
2001
Weak disorder localization and Lifshitz tails. Zbl 1034.82024
Klopp, Frédéric
2002
Spectral statistics for random Schrödinger operators in the localized regime. Zbl 1330.81092
Germinet, François; Klopp, Frédéric
2014
Hölder continuity of the integrated density of states for some random operators at all energies. Zbl 1022.47028
Combes, Jean-Michel; Hislop, Peter D.; Klopp, Frédéric
2003
Anderson localization for 2D discrete Schrödinger operators with random magnetic fields. Zbl 1044.81040
Klopp, Frédéric; Nakamura, Shu; Nakano, Fumihiko; Nomura, Yuji
2003
Weak disorder localization and Lifshitz tails: Continuous Hamiltonians. Zbl 1016.60095
Klopp, F.
2002
Endpoints of the spectrum of periodic operators are generically simple. Zbl 1040.35050
Klopp, Frédéric; Ralston, James
2000
Localization for semiclassical continuous random Schrödinger operators. II: The random displacement model. Zbl 0820.60043
Klopp, Frédéric
1993
Lifshitz tails for 2-dimensional random Schrödinger operators. Zbl 1058.47034
Klopp, Frédéric; Wolff, Thomas
2002
Localization for the random displacement model. Zbl 1285.82030
Klopp, Frédéric; Loss, Michael; Nakamura, Shu; Stolz, Günter
2012
The Wegner estimate and the integrated density of states for some random operators. Zbl 1009.47060
Combes, J. M.; Hislop, P. D.; Klopp, Frédéric; Nakamura, Shu
2002
Spectral extrema and Lifshitz tails for non-monotonous alloy type models. Zbl 1198.35065
Klopp, Frédéric; Nakamura, Shu
2009
Localization for Schrödinger operators with random vector potentials. Zbl 1137.81012
Ghribi, F.; Hislop, D.; Klopp, F.
2007
Anderson transitions for a family of almost periodic Schrödinger equations in the adiabatic case. Zbl 1004.81008
Fedotov, Alexander; Klopp, Frédéric
2002
Lifshitz tails for random Schrödinger operators with negative singular Poisson potential. Zbl 0937.60098
Klopp, Frédéric; Pastur, Leonid
1999
Band edge behavior of the integrated density of states of random Jacobi matrices in dimension 1. Zbl 0924.47057
Klopp, Frédéric
1998
An asymptotic expansion for the density of states of a random Schrödinger operator with Bernoulli disorder. Zbl 0841.60047
Klopp, Frédéric
1995
Global continuity of the integrated density of states for random Landau Hamiltonians. Zbl 1085.47050
Combes, Jean-Michel; Hislop, Peter D.; Klopp, Frédéric; Raikov, Georgi
2004
Resonances for large one-dimensional “ergodic” systems. Zbl 1348.35210
Klopp, Frédéric
2016
An exact renormalization formula for Gaussian exponential sums and applications. Zbl 1303.11092
Fedotov, Alexander; Klopp, Frédéric
2012
Enhanced Wegner and Minami estimates and eigenvalue statistics of random Anderson models at spectral edges. Zbl 1276.82021
Germinet, François; Klopp, Frédéric
2013
On the absolutely continuous spectrum of one-dimensional quasi-periodic Schrödinger operators in the adiabatic limit. Zbl 1101.34069
Fedotov, Alexander; Klopp, Frédéric
2005
Generic simplicity of resonances. Zbl 0844.47040
Klopp, Frédéric; Zworski, Maciej
1995
A note on Anderson localization for the random hopping model. Zbl 1062.82049
Klopp, Frédéric; Nakamura, Shu
2003
Strong resonant tunneling, level repulsion and spectral type for one-dimensional adiabatic quasi-periodic Schrödinger operators. Zbl 1112.47038
Fedotov, Alexander; Klopp, Frédéric
2005
Localization on quantum graphs with random vertex couplings. Zbl 1144.82061
Klopp, Frédéric; Pankrashkin, Konstantin
2008
Localization for the random displacement model at weak disorder. Zbl 1210.82063
Ghribi, Fatma; Klopp, Frédéric
2010
Random Schrödinger operators. Zbl 1151.35002
Disertori, Margherita; Kirsch, Werner; Klein, Abel; Klopp, Frédéric; Rivasseau, Vincent
2008
A complex WKB method for adiabatic problems. Zbl 1001.34082
Fedotov, Alexander; Klopp, Frédéric
2001
Mathematical analysis of the photoelectric effect. Zbl 1015.81059
Bach, Volker; Klopp, Frédéric; Zenk, Heribert
2001
Internal Lifshitz tails for Schrödinger operators with random potentials. Zbl 1061.82017
Klopp, Frédéric
2002
Resonances for perturbations of a semiclassical periodic Schrödinger operator. Zbl 0818.35096
Klopp, Frédéric
1994
On the singular spectrum for adiabatic quasi-periodic Schrödinger operators on the real line. Zbl 1059.81057
Fedotov, Alexander; Klopp, Frédéric
2004
Absolute continuity of the spectrum of a Landau Hamiltonian perturbed by a generic periodic potential. Zbl 1194.47052
Klopp, Frédéric
2010
Lifshitz tails for generalized alloy-type random Schrödinger operators. Zbl 1226.35058
Klopp, Frédéric; Nakamura, Shu
2010
Geometric tools of the adiabatic complex WKB method. Zbl 1070.34124
Fedotov, Alexander; Klopp, Frédéric
2004
Absolutely continuous spectrum for the isotropic Maxwell operator with coefficients that are periodic in some directions and decay in others. Zbl 1082.35114
Filonov, N.; Klopp, F.
2005
Precise high energy asymptotics for the integrated density of states of an unbounded random Jacobi matrix. Zbl 1044.82007
Klopp, Frédéric
2000
Absolute continuity of the spectrum of a Schrödinger operator with a potential which is periodic in some directions and decays in others. Zbl 1081.35016
Filonov, N.; Klopp, F.
2004
Inverse tunneling estimates and applications to the study of spectral statistics of random operators on the real line. Zbl 1293.35337
Klopp, Frédéric
2014
Semiclassical resolvent estimates for bounded potentials. Zbl 1421.35065
Klopp, Frédéric; Vogel, Martin
2019
Some new estimates on the spectral shift function associated with random Schrödinger operators. Zbl 1137.35048
Combes, Jean-Michel; Hislop, Peter D.; Klopp, Frédéric
2007
Weakly resonant tunneling interactions for adiabatic quasi-periodic Schrödinger operators. Zbl 1129.34001
Fedotov, Alexander; Klopp, Frédéric
2006
Decorrelation estimates for the eigenlevels of the discrete Anderson model in the localized regime. Zbl 1217.82091
Klopp, Frédéric
2011
Localization on quantum graphs with random edge lengths. Zbl 1161.81362
Klopp, Frédéric; Pankrashkin, Konstantin
2009
The fate of the Landau levels under perturbations of constant sign. Zbl 1181.35149
Klopp, Frédéric; Raikov, Georgi
2009
The complex WKB method for difference equations and Airy functions. Zbl 1425.39011
Fedotov, Alexander; Klopp, Frédéric
2019
Localization for random Schrödinger operators on $$L^ 2 (\mathbb{R}^ d)$$: a semiclassical model. (Localisation pour des opérateurs de Schrödinger aléatoires dans $$L^ 2({\mathbb{R}}^ d)$$ : un modèle semi-classique.) Zbl 0817.35088
Klopp, Frédéric
1995
Étude semi-classique d’une perturbation d’un opérateur de Schrödinger périodique. (Semi-classical study of a perturbation of a periodic Schrödinger operator). Zbl 0754.35100
Klopp, Frédéric
1991
The integrated density of states for an interacting multiparticle homogeneous model and applications to the Anderson model. Zbl 1203.82063
Klopp, Frédéric; Zenk, Heribert
2009
Pointwise existence of the Lyapunov exponent for a quasi-periodic equation. Zbl 1156.81370
Fedotov, Alexander; Klopp, Frédéric
2008
A low concentration asymptotic expansion for the density of states of a random Schrödinger operator with Poisson disorder. Zbl 0884.60059
Klopp, Frédéric
1997
Spectral statistics for the discrete Anderson model in the localized regime. Zbl 1234.81075
Germinet, François; Klopp, Frédéric
2011
Resonances for “large” ergodic systems in one dimension: a review. Zbl 1325.47071
Klopp, Frédéric
2012
Eigenvalues and resonance in the neighborhood of a threshold. (Valeurs propres et résonances au voisinage d’un seuil.) Zbl 0879.35118
Grigis, Alain; Klopp, Frédéric
1996
Lifshitz tails for random perturbations of periodic Schrödinger operators. Zbl 0999.60089
Klopp, Frédéric
2002
The spectral theory of adiabatic quasi-periodic operators on the real line. Zbl 1059.34060
Fedotov, A.; Klopp, F.
2003
The band-edge behavior of the density of surfacic states. Zbl 1173.39304
Kirsch, Werner; Klopp, Frédéric
2005
The Gross-Pitaevskii functional with a random background potential and condensation in the single particle ground state. Zbl 1242.82011
Klopp, Frédéric; Metzger, Bernd
2011
Asymptotic ergodicity of the eigenvalues of random operators in the localized phase. Zbl 1281.82014
Klopp, Frédéric
2013
Lifshitz tails for alloy-type models in a constant magnetic field. Zbl 1205.82091
Klopp, Frédéric
2010
On the spectrum of odd order self-adjoint ordinary differential operators on the real line with quasi-periodic coefficients. Zbl 0869.34066
Grébert, B.; Guillot, J. C.; Klopp, F.
1997
A remark about internal Lifshitz asymptotes. (Une remarque à propos des asymptotiques de Lifshitz internes.) Zbl 1003.60063
Klopp, Frédéric
2002
Regularity properties for the density of states of random Schrödinger operators. Zbl 1056.47027
Combes, Jean-Michel; Hislop, Peter D.; Klopp, Frédéric
2003
Level repulsion and spectral type for one-dimensional adiabatic quasi-periodic Schrödinger operators. Zbl 1167.81382
Fedotov, Alexander; Klopp, Frédéric
2006
Continuity with respect to disorder of the integrated density of states. Zbl 1091.47031
Hislop, Peter D.; Klopp, Frédéric; Schenker, Jeffrey H.
2005
Coexistence of different spectral types for almost periodic Schrödinger equations in dimension one. Zbl 0974.34080
Fedotov, Alexander; Klopp, Frédéric
1999
Local and global continuity of the integrated density of states. Zbl 1060.47042
Combes, J.-M.; Hislop, P. D.; Klopp, F.
2003
Lifshitz tails in constant magnetic fields. Zbl 1188.82028
Klopp, Frédéric; Raikov, Georgi
2006
Lifshitz tails for some non monotonous random models. Zbl 1176.35184
Klopp, Frédéric; Nakamura, Shu
2008
The width of resonances for slowly varying perturbations of one-dimensional periodic Schrödinger operators. Zbl 1118.34082
Klopp, Frédéric; Marx, Magali
2006
Adiabatic quasi-periodic Schrödinger operators: interactions between the spectral bands of a periodic operator. (Opérateurs de Schrödinger quasi-périodiques adiabatiques: interactions entre les bandes spectrales d’un opérateur périodique.) Zbl 1292.34050
Fedotov, Alexandre; Klopp, Frédéric
2004
Renormalization of exponential sums and matrix cocycles. Zbl 1292.34049
Fedotov, Alexander; Klopp, Frédéric
2005
WKB asymptotics of meromorphic solutions to difference equations. Zbl 1476.39023
Fedotov, Alexander; Klopp, Frédéric
2021
Stark-Wannier ladders and cubic exponential sums. Zbl 1360.34174
Klopp, F.; Fedotov, A. A.
2016
WKB asymptotics of meromorphic solutions to difference equations. Zbl 1476.39023
Fedotov, Alexander; Klopp, Frédéric
2021
Semiclassical resolvent estimates for bounded potentials. Zbl 1421.35065
Klopp, Frédéric; Vogel, Martin
2019
The complex WKB method for difference equations and Airy functions. Zbl 1425.39011
Fedotov, Alexander; Klopp, Frédéric
2019
Resonances for large one-dimensional “ergodic” systems. Zbl 1348.35210
Klopp, Frédéric
2016
Stark-Wannier ladders and cubic exponential sums. Zbl 1360.34174
Klopp, F.; Fedotov, A. A.
2016
Spectral statistics for random Schrödinger operators in the localized regime. Zbl 1330.81092
Germinet, François; Klopp, Frédéric
2014
Inverse tunneling estimates and applications to the study of spectral statistics of random operators on the real line. Zbl 1293.35337
Klopp, Frédéric
2014
Enhanced Wegner and Minami estimates and eigenvalue statistics of random Anderson models at spectral edges. Zbl 1276.82021
Germinet, François; Klopp, Frédéric
2013
Asymptotic ergodicity of the eigenvalues of random operators in the localized phase. Zbl 1281.82014
Klopp, Frédéric
2013
Localization for the random displacement model. Zbl 1285.82030
Klopp, Frédéric; Loss, Michael; Nakamura, Shu; Stolz, Günter
2012
An exact renormalization formula for Gaussian exponential sums and applications. Zbl 1303.11092
Fedotov, Alexander; Klopp, Frédéric
2012
Resonances for “large” ergodic systems in one dimension: a review. Zbl 1325.47071
Klopp, Frédéric
2012
Decorrelation estimates for the eigenlevels of the discrete Anderson model in the localized regime. Zbl 1217.82091
Klopp, Frédéric
2011
Spectral statistics for the discrete Anderson model in the localized regime. Zbl 1234.81075
Germinet, François; Klopp, Frédéric
2011
The Gross-Pitaevskii functional with a random background potential and condensation in the single particle ground state. Zbl 1242.82011
Klopp, Frédéric; Metzger, Bernd
2011
Localization for the random displacement model at weak disorder. Zbl 1210.82063
Ghribi, Fatma; Klopp, Frédéric
2010
Absolute continuity of the spectrum of a Landau Hamiltonian perturbed by a generic periodic potential. Zbl 1194.47052
Klopp, Frédéric
2010
Lifshitz tails for generalized alloy-type random Schrödinger operators. Zbl 1226.35058
Klopp, Frédéric; Nakamura, Shu
2010
Lifshitz tails for alloy-type models in a constant magnetic field. Zbl 1205.82091
Klopp, Frédéric
2010
Spectral extrema and Lifshitz tails for non-monotonous alloy type models. Zbl 1198.35065
Klopp, Frédéric; Nakamura, Shu
2009
Localization on quantum graphs with random edge lengths. Zbl 1161.81362
Klopp, Frédéric; Pankrashkin, Konstantin
2009
The fate of the Landau levels under perturbations of constant sign. Zbl 1181.35149
Klopp, Frédéric; Raikov, Georgi
2009
The integrated density of states for an interacting multiparticle homogeneous model and applications to the Anderson model. Zbl 1203.82063
Klopp, Frédéric; Zenk, Heribert
2009
Localization on quantum graphs with random vertex couplings. Zbl 1144.82061
Klopp, Frédéric; Pankrashkin, Konstantin
2008
Random Schrödinger operators. Zbl 1151.35002
Disertori, Margherita; Kirsch, Werner; Klein, Abel; Klopp, Frédéric; Rivasseau, Vincent
2008
Pointwise existence of the Lyapunov exponent for a quasi-periodic equation. Zbl 1156.81370
Fedotov, Alexander; Klopp, Frédéric
2008
Lifshitz tails for some non monotonous random models. Zbl 1176.35184
Klopp, Frédéric; Nakamura, Shu
2008
An optimal Wegner estimate and its application to the global continuity of the integrated density of states for random Schrödinger operators. Zbl 1134.81022
Combes, Jean-Michel; Hislop, Peter D.; Klopp, Frédéric
2007
Localization for Schrödinger operators with random vector potentials. Zbl 1137.81012
Ghribi, F.; Hislop, D.; Klopp, F.
2007
Some new estimates on the spectral shift function associated with random Schrödinger operators. Zbl 1137.35048
Combes, Jean-Michel; Hislop, Peter D.; Klopp, Frédéric
2007
Weakly resonant tunneling interactions for adiabatic quasi-periodic Schrödinger operators. Zbl 1129.34001
Fedotov, Alexander; Klopp, Frédéric
2006
Level repulsion and spectral type for one-dimensional adiabatic quasi-periodic Schrödinger operators. Zbl 1167.81382
Fedotov, Alexander; Klopp, Frédéric
2006
Lifshitz tails in constant magnetic fields. Zbl 1188.82028
Klopp, Frédéric; Raikov, Georgi
2006
The width of resonances for slowly varying perturbations of one-dimensional periodic Schrödinger operators. Zbl 1118.34082
Klopp, Frédéric; Marx, Magali
2006
On the absolutely continuous spectrum of one-dimensional quasi-periodic Schrödinger operators in the adiabatic limit. Zbl 1101.34069
Fedotov, Alexander; Klopp, Frédéric
2005
Strong resonant tunneling, level repulsion and spectral type for one-dimensional adiabatic quasi-periodic Schrödinger operators. Zbl 1112.47038
Fedotov, Alexander; Klopp, Frédéric
2005
Absolutely continuous spectrum for the isotropic Maxwell operator with coefficients that are periodic in some directions and decay in others. Zbl 1082.35114
Filonov, N.; Klopp, F.
2005
The band-edge behavior of the density of surfacic states. Zbl 1173.39304
Kirsch, Werner; Klopp, Frédéric
2005
Continuity with respect to disorder of the integrated density of states. Zbl 1091.47031
Hislop, Peter D.; Klopp, Frédéric; Schenker, Jeffrey H.
2005
Renormalization of exponential sums and matrix cocycles. Zbl 1292.34049
Fedotov, Alexander; Klopp, Frédéric
2005
Global continuity of the integrated density of states for random Landau Hamiltonians. Zbl 1085.47050
Combes, Jean-Michel; Hislop, Peter D.; Klopp, Frédéric; Raikov, Georgi
2004
On the singular spectrum for adiabatic quasi-periodic Schrödinger operators on the real line. Zbl 1059.81057
Fedotov, Alexander; Klopp, Frédéric
2004
Geometric tools of the adiabatic complex WKB method. Zbl 1070.34124
Fedotov, Alexander; Klopp, Frédéric
2004
Absolute continuity of the spectrum of a Schrödinger operator with a potential which is periodic in some directions and decays in others. Zbl 1081.35016
Filonov, N.; Klopp, F.
2004
Adiabatic quasi-periodic Schrödinger operators: interactions between the spectral bands of a periodic operator. (Opérateurs de Schrödinger quasi-périodiques adiabatiques: interactions entre les bandes spectrales d’un opérateur périodique.) Zbl 1292.34050
Fedotov, Alexandre; Klopp, Frédéric
2004
Hölder continuity of the integrated density of states for some random operators at all energies. Zbl 1022.47028
Combes, Jean-Michel; Hislop, Peter D.; Klopp, Frédéric
2003
Anderson localization for 2D discrete Schrödinger operators with random magnetic fields. Zbl 1044.81040
Klopp, Frédéric; Nakamura, Shu; Nakano, Fumihiko; Nomura, Yuji
2003
A note on Anderson localization for the random hopping model. Zbl 1062.82049
Klopp, Frédéric; Nakamura, Shu
2003
The spectral theory of adiabatic quasi-periodic operators on the real line. Zbl 1059.34060
Fedotov, A.; Klopp, F.
2003
Regularity properties for the density of states of random Schrödinger operators. Zbl 1056.47027
Combes, Jean-Michel; Hislop, Peter D.; Klopp, Frédéric
2003
Local and global continuity of the integrated density of states. Zbl 1060.47042
Combes, J.-M.; Hislop, P. D.; Klopp, F.
2003
The integrated density of states for some random operators with nonsign definite potentials. Zbl 1013.60046
Hislop, Peter D.; Klopp, Frédéric
2002
Weak disorder localization and Lifshitz tails. Zbl 1034.82024
Klopp, Frédéric
2002
Weak disorder localization and Lifshitz tails: Continuous Hamiltonians. Zbl 1016.60095
Klopp, F.
2002
Lifshitz tails for 2-dimensional random Schrödinger operators. Zbl 1058.47034
Klopp, Frédéric; Wolff, Thomas
2002
The Wegner estimate and the integrated density of states for some random operators. Zbl 1009.47060
Combes, J. M.; Hislop, P. D.; Klopp, Frédéric; Nakamura, Shu
2002
Anderson transitions for a family of almost periodic Schrödinger equations in the adiabatic case. Zbl 1004.81008
Fedotov, Alexander; Klopp, Frédéric
2002
Internal Lifshitz tails for Schrödinger operators with random potentials. Zbl 1061.82017
Klopp, Frédéric
2002
Lifshitz tails for random perturbations of periodic Schrödinger operators. Zbl 0999.60089
Klopp, Frédéric
2002
A remark about internal Lifshitz asymptotes. (Une remarque à propos des asymptotiques de Lifshitz internes.) Zbl 1003.60063
Klopp, Frédéric
2002
Internal Lifshits tails for random perturbations of periodic Schrödinger operators. Zbl 1060.82509
Klopp, Frédéric
2001
A complex WKB method for adiabatic problems. Zbl 1001.34082
Fedotov, Alexander; Klopp, Frédéric
2001
Mathematical analysis of the photoelectric effect. Zbl 1015.81059
Bach, Volker; Klopp, Frédéric; Zenk, Heribert
2001
Endpoints of the spectrum of periodic operators are generically simple. Zbl 1040.35050
Klopp, Frédéric; Ralston, James
2000
Precise high energy asymptotics for the integrated density of states of an unbounded random Jacobi matrix. Zbl 1044.82007
Klopp, Frédéric
2000
Lifshitz tails for random Schrödinger operators with negative singular Poisson potential. Zbl 0937.60098
Klopp, Frédéric; Pastur, Leonid
1999
Coexistence of different spectral types for almost periodic Schrödinger equations in dimension one. Zbl 0974.34080
Fedotov, Alexander; Klopp, Frédéric
1999
Band edge behavior of the integrated density of states of random Jacobi matrices in dimension 1. Zbl 0924.47057
Klopp, Frédéric
1998
A low concentration asymptotic expansion for the density of states of a random Schrödinger operator with Poisson disorder. Zbl 0884.60059
Klopp, Frédéric
1997
On the spectrum of odd order self-adjoint ordinary differential operators on the real line with quasi-periodic coefficients. Zbl 0869.34066
Grébert, B.; Guillot, J. C.; Klopp, F.
1997
Eigenvalues and resonance in the neighborhood of a threshold. (Valeurs propres et résonances au voisinage d’un seuil.) Zbl 0879.35118
Grigis, Alain; Klopp, Frédéric
1996
Localization for some continuous random Schrödinger operators. Zbl 0820.60044
Klopp, Frédéric
1995
An asymptotic expansion for the density of states of a random Schrödinger operator with Bernoulli disorder. Zbl 0841.60047
Klopp, Frédéric
1995
Generic simplicity of resonances. Zbl 0844.47040
Klopp, Frédéric; Zworski, Maciej
1995
Localization for random Schrödinger operators on $$L^ 2 (\mathbb{R}^ d)$$: a semiclassical model. (Localisation pour des opérateurs de Schrödinger aléatoires dans $$L^ 2({\mathbb{R}}^ d)$$ : un modèle semi-classique.) Zbl 0817.35088
Klopp, Frédéric
1995
Resonances for perturbations of a semiclassical periodic Schrödinger operator. Zbl 0818.35096
Klopp, Frédéric
1994
Localization for semiclassical continuous random Schrödinger operators. II: The random displacement model. Zbl 0820.60043
Klopp, Frédéric
1993
Étude semi-classique d’une perturbation d’un opérateur de Schrödinger périodique. (Semi-classical study of a perturbation of a periodic Schrödinger operator). Zbl 0754.35100
Klopp, Frédéric
1991
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### Cited by 276 Authors

 36 Klopp, Frédéric 35 Veselić, Ivan 17 Klein, Abel 15 Hislop, Peter D. 13 Borisov, Denis Ivanovich 12 Germinet, François 11 Kirsch, Werner 10 Najar, Hatem 10 Stolz, Gunter 10 Tautenhahn, Martin 9 Raikov, Georgi D. 9 Täufer, Matthias 8 Combes, Jean-Michel 8 Elgart, Alexander 7 Fedotov, Alexander 6 Chulaevsky, Victor 6 Kuchment, Peter A. 6 Lenz, Daniel H. 6 Sadel, Christian 6 Ueki, Naomasa 5 Danilov, Leonid Ivanovich 5 Hasler, David G. 5 Krishna, Maddaly 5 Müller, Peter 5 Nakamura, Shu 4 Dolai, Dhriti Ranjan 4 Fukushima, Ryoki 4 Mallick, Anish 4 Schenker, Jeffrey H. 4 Shterenberg, Roman G. 4 Warzel, Simone 3 Ballesteros, Miguel 3 Chen, Changhao 3 Deckert, Dirk-André 3 Drouot, Alexis 3 Erdős, László 3 Fröhlich, Jürg Martin 3 Hänle, Felix 3 Karpeshina, Yulia E. 3 Loss, Michael 3 Pankrashkin, Konstantin 3 Peyerimhoff, Norbert 3 Post, Olaf 3 Rojas-Molina, Constanza 3 Shirley, Christopher 3 Shparlinski, Igor E. 3 Stollmann, Peter 3 Vodev, Georgi 3 Zenk, Heribert 2 Aizenman, Michael 2 Antunović, Tonći 2 Baker, Jeff 2 Biskup, Marek 2 Bourgain, Jean 2 Boutet de Monvel, Anne Marie 2 Cellarosi, Francesco 2 Chen, Xia 2 Damanik, David 2 Faupin, Jérémy 2 Figotin, Alexander 2 Filonov, Nikolai D. 2 Frank, Rupert L. 2 Gesztesy, Fritz 2 Ghribi, Fatma 2 Golovina, Anastasiya Mihajlovna 2 Griesemer, Marcel 2 Hoecker-Escuti, Francisco 2 Jensen, Arne 2 Jitomirskaya, Svetlana Yakovlevna 2 Kaleta, Kamil 2 Kha, Minh 2 Kitagaki, Yoshihiko 2 König, Wolfgang Dieter 2 Krüger, Helge 2 Liu, Wencai 2 Marklof, Jens 2 Marx, Christoph A. 2 Mine, Takuya 2 Nakić, Ivica 2 Nichols, Roger 2 Pietruska-Pałuba, Katarzyna 2 Pinchover, Yehuda 2 Sabri, Mostafa 2 Schlag, Wilhelm 2 Schlein, Benjamin 2 Shchetka, Ekaterina 2 Sun, Huaqing 2 Veniaminov, Nikolaj A. 2 Virág, Bálint 2 Wolff, Thomas H. 2 Zworski, Maciej 1 Albeverio, Sergio A. 1 Astrauskas, Arvydas 1 Avila Cordeiro de Melo, Artur 1 Baker, Roger C. 1 Bapst, Victor 1 Barbaroux, Jean-Marie 1 Behrndt, Jussi 1 Belov, Vladimir Vasilyevich 1 Belyaev, V. B. ...and 176 more Authors
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### Cited in 84 Serials

 28 Annales Henri Poincaré 26 Journal of Statistical Physics 23 Communications in Mathematical Physics 20 Journal of Mathematical Physics 20 Journal of Functional Analysis 13 Reviews in Mathematical Physics 12 Mathematical Physics, Analysis and Geometry 12 Journal of Spectral Theory 9 Journal of Mathematical Analysis and Applications 9 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 8 Letters in Mathematical Physics 7 Duke Mathematical Journal 7 Journal of Mathematical Sciences (New York) 7 St. Petersburg Mathematical Journal 6 Transactions of the American Mathematical Society 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Journal d’Analyse Mathématique 4 Integral Equations and Operator Theory 4 Mathematische Nachrichten 4 Proceedings of the American Mathematical Society 4 Izvestiya Instituta Matematiki i Informatiki. Udmurtskiĭ Gosudarstvennyĭ Universitet 3 Theoretical and Mathematical Physics 3 Arkiv för Matematik 3 Inventiones Mathematicae 3 Journal of Differential Equations 3 Mathematische Zeitschrift 3 Communications in Partial Differential Equations 3 SIAM Journal on Mathematical Analysis 3 Annales de l’Institut Henri Poincaré. Physique Théorique 3 Journal of the European Mathematical Society (JEMS) 3 Advances in Mathematical Physics 2 Applicable Analysis 2 Mathematical Notes 2 Advances in Mathematics 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Functional Analysis and its Applications 2 Osaka Journal of Mathematics 2 Ergodic Theory and Dynamical Systems 2 Probability Theory and Related Fields 2 Stochastic Processes and their Applications 2 Random Operators and Stochastic Equations 2 Communications in Contemporary Mathematics 2 Waves in Random and Complex Media 2 Journal of Modern Dynamics 2 Pure and Applied Analysis 1 Journal of Engineering Mathematics 1 Mathematical Methods in the Applied Sciences 1 Acta Mathematica 1 Annales de l’Institut Fourier 1 Archiv der Mathematik 1 Bulletin de la Société Mathématique de France 1 Geometriae Dedicata 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Number Theory 1 Mathematische Annalen 1 Memoirs of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Graphs and Combinatorics 1 Applied Mathematics Letters 1 Asymptotic Analysis 1 Journal of the Ramanujan Mathematical Society 1 Sugaku Expositions 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Geometric and Functional Analysis. GAFA 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Linear Algebra and its Applications 1 SIAM Journal on Applied Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Electronic Journal of Probability 1 Discrete and Continuous Dynamical Systems 1 Documenta Mathematica 1 Annals of Mathematics. Second Series 1 Central European Journal of Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Analysis & PDE 1 Japanese Journal of Mathematics. 3rd Series 1 International Journal of Stochastic Analysis 1 Ufimskiĭ Matematicheskiĭ Zhurnal 1 Kyoto Journal of Mathematics 1 Bulletin of Mathematical Sciences 1 Journal of Operators 1 Séminaire Laurent Schwartz. EDP et Applications
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### Cited in 37 Fields

 152 Statistical mechanics, structure of matter (82-XX) 149 Operator theory (47-XX) 142 Partial differential equations (35-XX) 125 Quantum theory (81-XX) 83 Probability theory and stochastic processes (60-XX) 31 Ordinary differential equations (34-XX) 21 Dynamical systems and ergodic theory (37-XX) 17 Difference and functional equations (39-XX) 9 Global analysis, analysis on manifolds (58-XX) 8 Number theory (11-XX) 8 Functional analysis (46-XX) 6 Combinatorics (05-XX) 5 Fluid mechanics (76-XX) 5 Optics, electromagnetic theory (78-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Measure and integration (28-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Topological groups, Lie groups (22-XX) 3 Statistics (62-XX) 2 Algebraic geometry (14-XX) 2 Real functions (26-XX) 2 Potential theory (31-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Special functions (33-XX) 2 Abstract harmonic analysis (43-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 $$K$$-theory (19-XX) 1 Group theory and generalizations (20-XX) 1 Functions of a complex variable (30-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Systems theory; control (93-XX)