Edit Profile (opens in new tab) Klein, Abel Compute Distance To: Compute Author ID: klein.abel Published as: Klein, Abel; Klein, A. External Links: MGP · Wikidata · GND Documents Indexed: 114 Publications since 1972, including 1 Book Co-Authors: 51 Co-Authors with 91 Joint Publications 1,123 Co-Co-Authors all top 5 Co-Authors 22 single-authored 25 Germinet, François 9 Landau, Lawrence J. 9 Perez, J. Fernando 7 Elgart, Alexander 7 Figotin, Alexander 5 Campanino, Massimo 5 Combes, Jean-Michel 4 Hislop, Peter D. 4 Müller, Peter 4 Speis, Athanasios 3 Koines, Andrew 3 Nguyen, Son T. 3 Schenker, Jeffrey H. 3 Stolz, Gunter 3 Tsang, Chi Shing Sidney 3 von Dreifus, Henrique 2 Bouclet, Jean-Marc 2 Bovier, Anton 2 Carmona, René A. 2 Jitomirskaya, Svetlana Yakovlevna 2 Lacroix, Jean 2 Marchetti, Domingos H. U. 2 Martinelli, Fabio 2 Sadel, Christian 2 Shucker, David S. 1 Acosta, Victor 1 Aizenman, A. 1 Aizenman, Michael 1 Bourgain, Jean 1 Cranston, Michael Craig 1 Dietlein, Adrian 1 Disertori, Margherita 1 Gebert, Martin 1 Goldsheid, Ilya Ya. 1 Jacšić, V. 1 Kang, Yang 1 Kirsch, Werner 1 Klopp, Frédéric 1 Konakov, V. D. 1 Lenoble, Olivier 1 Mandy, Benoit 1 Masooman, Sharareh 1 Molchanov, Stanislav Alekseevich 1 Neudecker, Heinz 1 Pastur, Leonid Andreevich 1 Rivasseau, Vincent 1 Rojas-Molina, Constanza 1 Russo, Bernard 1 Seifert, Maximilian 1 Simon, Barry 1 Vaĭnberg, Boris Rufimovich 1 Warzel, Simone all top 5 Serials 22 Communications in Mathematical Physics 14 Journal of Statistical Physics 10 Journal of Functional Analysis 5 Journal of Spectral Theory 4 The Annals of Probability 3 Proceedings of the American Mathematical Society 2 Journal of Mathematical Physics 2 Pacific Journal of Mathematics 2 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 2 Mathematical Physics, Analysis and Geometry 2 Annals of Mathematics. Second Series 2 Journal of the European Mathematical Society (JEMS) 2 Annales Henri Poincaré 2 Analysis & PDE 1 Russian Mathematical Surveys 1 Arkiv för Matematik 1 Reviews in Mathematical Physics 1 Advances in Mathematics 1 Duke Mathematical Journal 1 Inventiones Mathematicae 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Transactions of the American Mathematical Society 1 Probability Theory and Related Fields 1 IMRN. International Mathematics Research Notices 1 Geometric and Functional Analysis. GAFA 1 Annals of Physics 1 Communications in Partial Differential Equations 1 Linear Algebra and its Applications 1 SIAM Journal on Applied Mathematics 1 Annales de l’Institut Henri Poincaré. Physique Théorique 1 Mathematical Research Letters 1 Markov Processes and Related Fields 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Mathematical Physics, Analysis, Geometry 1 Bulletin of the American Mathematical Society 1 Panoramas et Synthèses 1 Journal of Physics A: Mathematical and Theoretical 1 RIMS Kôkyûroku Bessatsu all top 5 Fields 72 Statistical mechanics, structure of matter (82-XX) 65 Probability theory and stochastic processes (60-XX) 47 Operator theory (47-XX) 34 Quantum theory (81-XX) 27 Partial differential equations (35-XX) 5 Optics, electromagnetic theory (78-XX) 3 Mechanics of deformable solids (74-XX) 3 Fluid mechanics (76-XX) 2 Topological groups, Lie groups (22-XX) 2 Functional analysis (46-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Abstract harmonic analysis (43-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 105 Publications have been cited 1,831 times in 818 Documents Cited by ▼ Year ▼ A new proof of localization in the Anderson tight binding model. Zbl 0698.60051von Dreifus, Henrique; Klein, Abel 140 1989 Anderson localization for Bernoulli and other singular potentials. Zbl 0615.60098Carmona, Rene; Klein, Abel; Martinelli, Fabio 128 1987 Bootstrap multiscale analysis and localization in random media. Zbl 0982.82030Germinet, François; Klein, Abel 109 2001 Extended states in the Anderson model on the Bethe lattice. Zbl 0899.60088Klein, Abel 70 1998 A comprehensive proof of localization for continuous Anderson models with singular random potentials. Zbl 1267.82066Germinet, François; Klein, Abel 45 2013 A characterization of the Anderson metal-insulator transport transition. Zbl 1062.82020Germinet, François; Klein, Abel 41 2004 Generalized eigenvalue-counting estimates for the Anderson model. Zbl 1168.82016Combes, Jean-Michel; Germinet, François; Klein, Abel 41 2009 Localization of classical waves. I: Acoustic waves. Zbl 0878.35109Figotin, Alexander; Klein, Abel 41 1996 Operator kernel estimates for functions of generalized Schrödinger operators. Zbl 1013.81009Germinet, François; Klein, Abel 37 2003 New characterizations of the region of complete localization for random Schrödinger operators. Zbl 1127.82031Germinet, Francois; Klein, Abel 36 2006 Localization of classical waves. II: Electromagnetic waves. Zbl 0878.35110Figotin, Alexander; Klein, Abel 36 1997 Localization for the Anderson model on a strip with singular potentials. Zbl 0780.60063Klein, Abel; Lacroix, Jean; Speis, Athanasios 35 1990 Localized classical waves created by defects. Zbl 0952.76543Figotin, Alexander; Klein, Abel 35 1997 Linear response theory for magnetic Schrödinger operators in disordered media. Zbl 1088.82013Bouclet, Jean-Marc; Germinet, Francois; Klein, Abel; Schenker, Jeffrey H. 32 2005 A supersymmetric transfer matrix and differentiability of the density of states in the one-dimensional Anderson model. Zbl 0603.60061Campanino, Massimo; Klein, Abel 31 1986 Absolutely continuous spectrum in the Anderson model on the Bethe lattice. Zbl 0835.58045Klein, Abel 29 1994 Simplicity of eigenvalues in the Anderson model. Zbl 1152.82010Klein, Abel; Molchanov, Stanislav 29 2006 Stochastic processes associated with KMS states. Zbl 0498.60098Klein, Abel; Landau, Lawrence J. 29 1981 Localization for Schrödinger operators with Poisson random potential. Zbl 1214.82053Germinet, François; Hislop, Peter D.; Klein, Abel 28 2007 Construction of a unique self-adjoint generator for a symmetric local semigroup. Zbl 0473.47023Klein, Abel; Landau, Lawrence J. 28 1981 Explicit finite volume criteria for localization in continuous random media and applications. Zbl 1086.82008Germinet, F.; Klein, A. 26 2003 The bootstrap multiscale analysis for the multi-particle Anderson model. Zbl 1272.82021Klein, Abel; Nguyen, Son T. 26 2013 Bounds on the density of states for Schrödinger operators. Zbl 1362.35113Bourgain, Jean; Klein, Abel 25 2013 Midgap defect modes in dielectric and acoustic media. Zbl 0963.78005Figotin, Alexander; Klein, Abel 23 1998 Dynamical delocalization in random Landau Hamiltonians. Zbl 1159.82009Germinet, François; Klein, Abel; Schenker, Jeffrey H. 23 2007 Unique continuation principle for spectral projections of Schrödinger operators and optimal Wegner estimates for non-ergodic random Schrödinger operators. Zbl 1281.47026Klein, Abel 23 2013 Periodic Gaussian Osterwalder-Schrader positive processes and the two- sided Markov property on the circle. Zbl 0464.60041Klein, Abel; Landau, Lawrence J. 20 1981 Poisson statistics for eigenvalues of continuum random Schrödinger operators. Zbl 1227.82034Combes, Jean-Michel; Germinet, François; Klein, Abel 20 2010 Taming Griffiths’ singularities: Infinite differentiability of quenched correlation functions. Zbl 0820.60086von Dreifus, Henrique; Klein, Abel; Perez, J. Fernando 19 1995 Singular perturbations of positivity preserving semigroups via path space techniques. Zbl 0335.47028Klein, Abel; Landau, Lawrence J. 19 1975 Localization in the ground state of the Ising model with a random transverse field. Zbl 0716.60120Campanino, Massimo; Klein, Abel; Perez, J. Fernando 19 1991 Localization for random Schrödinger operators with correlated potentials. Zbl 0734.60070von Dreifus, Henrique; Klein, Abel 19 1991 Spreading of wave packets in the Anderson model on the Bethe lattice. Zbl 0860.60050Klein, Abel 18 1996 Localization phenomenon in gaps of the spectrum of random lattice operators. Zbl 0838.47050Figotin, Alexander; Klein, Abel 17 1994 On Mott’s formula for the ac-conductivity in the Anderson model. Zbl 1141.82006Klein, Abel; Lenoble, Olivier; Müller, Peter 17 2007 Absolutely continuous spectrum for random Schrödinger operators on the Bethe strip. Zbl 1237.82027Klein, Abel; Sadel, Christian 17 2012 Extinction of contact and percolation processes in a random environment. Zbl 0814.60098Klein, Abel 16 1994 Many-body localization in the droplet spectrum of the random XXZ quantum spin chain. Zbl 1397.82030Elgart, Alexander; Klein, Abel; Stolz, Günter 16 2018 From the Euclidean group to the Poincaré group via Osterwalder-Schrader positivity. Zbl 0522.22016Klein, Abel; Landau, Lawrence J. 16 1983 Supersymmetry and the Parisi-Sourlas dimensional reduction: a rigorous proof. Zbl 0546.60066Klein, Abel; Landau, Lawrence J.; Perez, J. Fernando 15 1984 Smoothness of the density of states in the Anderson model on a one- dimensional strip. Zbl 0635.60077Klein, Abel; Speis, Athanasios 15 1988 Generalized eigenfunctions for waves in inhomogeneous media. Zbl 1043.35097Klein, Abel; Koines, Andrew; Seifert, Maximilian 13 2002 On Bernoulli decompositions for random variables, concentration bounds, and spectral localization. Zbl 1152.60020Aizenman, Michael; Germinet, François; Klein, Abel; Warzel, Simone 13 2009 Gaussian OS-positive processes. Zbl 0343.60028Klein, Abel 13 1977 Sharp inequalities for Weyl operators and Heisenberg groups. Zbl 0359.43005Klein, Abel; Russo, Bernard 13 1978 Smoothness of the density of states in the Anderson model at high disorder. Zbl 0644.60057Bovier, Anton; Campanino, Massimo; Klein, Abel; Perez, J. Fernando 13 1988 The semigroup characterization of Osterwalder-Schrader path spaces and the construction of Euclidean fields. Zbl 0382.46030Klein, Abel 13 1978 Analyticity of the density of states in the Anderson model on the Bethe lattice. Zbl 0893.60093Acosta, Victor; Klein, Abel 12 1992 A general framework for localization of classical waves. I: Inhomogeneous media and defect eigenmodes. Zbl 0987.35154Klein, Abel; Koines, Andrew 12 2001 Random Schrödinger operators. Zbl 1151.35002Disertori, Margherita; Kirsch, Werner; Klein, Abel; Klopp, Frédéric; Rivasseau, Vincent 12 2008 A rigorous replica trick approach to Anderson localization in one dimension. Zbl 0614.60098Klein, Abel; Martinelli, Fabio; Perez, J. Fernando 12 1986 Exponential moments for hitting times of uniformly ergodic Markov processes. Zbl 0523.60064Carmona, Rene; Klein, Abel 12 1983 Sub-exponential decay of operator kernels for functions of generalized Schrödinger operators. Zbl 1053.81028Bouclet, Jean-Marc; Germinet, François; Klein, Abel 11 2004 An eigensystem approach to Anderson localization. Zbl 1358.82019Elgart, Alexander; Klein, Abel 11 2016 Manifestations of dynamical localization in the disordered XXZ spin chain. Zbl 1414.82008Elgart, Alexander; Klein, Abel; Stolz, Günter 11 2018 Localization in the ground-state of the one-dimensional x-y model with a random transverse field. Zbl 0691.60092Klein, Abel; Perez, J. Fernando 11 1990 Regularity of the invariant measure and of the density of states in the one-dimensional Anderson model. Zbl 0698.60050Klein, Abel; Speis, Athanasios 11 1990 Ballistic behavior for random Schrödinger operators on the Bethe strip. Zbl 1268.82015Klein, Abel; Sadel, Christian 11 2011 Quantitative unique continuation principle for Schrödinger operators with singular potentials. Zbl 1339.35070Klein, Abel; Tsang, C. S. Sidney 10 2016 Localization of electromagnetic and acoustic waves in random media. Lattice models. Zbl 0839.76077Figotin, Alexander; Klein, Abel 10 1994 Decay of two-point functions for \((d+1)\)-dimensional percolation, Ising and Potts models with d-dimensional disorder. Zbl 0716.60127Campanino, Massimo; Klein, Abel 10 1991 Bootstrap multiscale analysis and localization for multi-particle continuous Anderson Hamiltonians. Zbl 1330.82029Klein, Abel; Nguyen, Son T. 9 2015 Regularity of the density of states in the Anderson model on a strip for potentials with singular continuous distributions. Zbl 0716.60132Klein, Abel; Lacroix, Jean; Speis, Athanasios 9 1989 Anomalies in the one-dimensional Anderson model at weak disorder. Zbl 0709.60109Campanino, Massimo; Klein, Abel 9 1990 Weak disorder expansion of the invariant measure for the one-dimensional Anderson model. Zbl 1086.82500Bovier, Anton; Klein, Abel 9 1988 Power-law falloff in the Kosterlitz-Thouless phase of a two-dimensional lattice Coulomb gas. Zbl 1086.82529Marchetti, Domingos H. U.; Klein, Abel; Perez, J. Fernando 9 1990 Localization at low energies for attractive Poisson random Schrödinger operators. Zbl 1149.35064Germinet, François; Hislop, Peter D.; Klein, Abel 8 2007 Ground state energy of trimmed discrete Schrödinger operators and localization for trimmed Anderson models. Zbl 1304.82039Elgart, Alexander; Klein, Abel 8 2014 Localization in the ground state of a disordered array of quantum rotators. Zbl 0755.60101Klein, Abel; Perez, J. Fernando 7 1992 A direct derivation of the exact Fisher information matrix of Gaussian vector state space models. Zbl 1157.62452Klein, A.; Neudecker, H. 7 2000 A general framework for localization of classical waves. II: Random media. Zbl 1054.35102Klein, Abel; Koines, Andrew 7 2004 Decoupling inequalities for stationary Gaussian processes. Zbl 0504.60044Klein, Abel; Landau, Lawrence J.; Shucker, David S. 7 1982 On localization for the Schrödinger operator with a Poisson random potential. Zbl 1083.35078Germinet, François; Hislop, Peter; Klein, Abel 7 2005 Droplet localization in the random XXZ model and its manifestations. Zbl 1382.82011Elgart, A.; Klein, A.; Stolz, G. 7 2018 A generalization of Markov processes. Zbl 0374.60112Klein, Abel 6 1978 Characterization of the metal-insulator transport transition for the two-particle Anderson model. Zbl 1434.82083Klein, Abel; Nguyen, Son T.; Rojas-Molina, Constanza 6 2017 Multiscale analysis and localization of random operators. Zbl 1187.82058Klein, Abel 5 2008 The conductivity measure for the Anderson model. Zbl 1155.82010Klein, Abel; Müller, Peter 5 2008 Quantization of the Hall conductance and delocalization in ergodic Landau hamiltonians. Zbl 1180.82099Germinet, François; Klein, Abel; Schenker, Jeffrey H. 5 2009 The supersymmetric replica trick and smoothness of the density of states for random Schrödinger operators. Zbl 0709.60105Klein, Abel 5 1990 Power-law falloff in two-dimensional Coulomb gases at inverse temperature \(\beta>8\pi\). Zbl 0935.82567Marchetti, Domingos H. U.; Klein, Abel 4 1991 Renormalized products of the generalized free field and its derivatives. Zbl 0254.47042Klein, Abel 4 1973 A characterization of Osterwalder-Schrader path spaces by the associated semigroup. Zbl 0338.60056Klein, Abel 4 1976 Eigensystem bootstrap multiscale analysis for the Anderson model. Zbl 1403.82012Klein, Abel; Tsang, Chi Shing Sidney 4 2018 Eigensystem multiscale analysis for Anderson localization in energy intervals. Zbl 1426.82028Elgart, Alexander; Klein, Abel 4 2019 On the absence of spontaneous breakdown of continuous symmetry for equilibrium states in two dimensions. Zbl 0509.60098Klein, Abel; Landau, Lawrence J.; Shucker, David S. 4 1981 High disorder localization for random Schrödinger operators through explicit finite volume criteria. Zbl 1213.82045Germinet, F.; Klein, A. 3 2003 The Anderson metal-insulator transport transition. Zbl 1130.82312Germinet, François; Klein, Abel 3 2003 The Anderson metal-insulator transition on the Bethe lattice. Zbl 1052.82540Klein, Abel 3 1995 Quadratic expressions in a free boson field. Zbl 0266.47035Klein, Abel 3 1973 A bound on the averaged spectral shift function and a lower bound on the density of states for random Schrödinger operators on \(\mathbb R^d\). Zbl 07013565Dietlein, Adrian; Gebert, Martin; Hislop, Peter D.; Klein, Abel; Müller, Peter 3 2018 Absolutely continuous spectrum in random Schrödinger operators. Zbl 0864.60053Klein, Abel 2 1996 Ising model in a quasiperiodic transverse field, percolation, and contact processes in quasiperiodic environments. Zbl 1101.82306Jitomirskaya, Svetlana; Klein, Abel 2 1993 Persistence of Anderson localization in Schrödinger operators with decaying random potentials. Zbl 1159.47059Figotin, Alexander; Germinet, François; Klein, Abel; Müller, Peter 2 2007 Localization for a continuum Cantor-Anderson Hamiltonian. Zbl 1137.81011Germinet, François; Klein, Abel 2 2007 Eigensystem multiscale analysis for the Anderson model via the Wegner estimate. Zbl 1451.82019Elgart, Alexander; Klein, Abel 2 2020 The \(:\phi^{2}:\) field in the \(P(\phi)_{2}\) model. Zbl 1358.81145Klein, Abel; Landau, Lawrence J. 2 1975 Erratum to: “Poisson statistics for eigenvalues of continuum random Schrödinger operators”. Zbl 1298.82031Combes, Jean-Michel; Germinet, François; Klein, Abel 2 2014 An explicitly solvable model in ’Euclidean’ field theory: The fixed source. Zbl 0304.60057Klein, Abel 1 1974 Local behavior of solutions of the stationary Schrödinger equation with singular potentials and bounds on the density of states of Schrödinger operators. Zbl 1354.35022Klein, Abel; Tsang, C. S. Sidney 1 2016 Eigensystem multiscale analysis for the Anderson model via the Wegner estimate. Zbl 1451.82019Elgart, Alexander; Klein, Abel 2 2020 Eigensystem multiscale analysis for Anderson localization in energy intervals. Zbl 1426.82028Elgart, Alexander; Klein, Abel 4 2019 Many-body localization in the droplet spectrum of the random XXZ quantum spin chain. Zbl 1397.82030Elgart, Alexander; Klein, Abel; Stolz, Günter 16 2018 Manifestations of dynamical localization in the disordered XXZ spin chain. Zbl 1414.82008Elgart, Alexander; Klein, Abel; Stolz, Günter 11 2018 Droplet localization in the random XXZ model and its manifestations. Zbl 1382.82011Elgart, A.; Klein, A.; Stolz, G. 7 2018 Eigensystem bootstrap multiscale analysis for the Anderson model. Zbl 1403.82012Klein, Abel; Tsang, Chi Shing Sidney 4 2018 A bound on the averaged spectral shift function and a lower bound on the density of states for random Schrödinger operators on \(\mathbb R^d\). Zbl 07013565Dietlein, Adrian; Gebert, Martin; Hislop, Peter D.; Klein, Abel; Müller, Peter 3 2018 Characterization of the metal-insulator transport transition for the two-particle Anderson model. Zbl 1434.82083Klein, Abel; Nguyen, Son T.; Rojas-Molina, Constanza 6 2017 An eigensystem approach to Anderson localization. Zbl 1358.82019Elgart, Alexander; Klein, Abel 11 2016 Quantitative unique continuation principle for Schrödinger operators with singular potentials. Zbl 1339.35070Klein, Abel; Tsang, C. S. Sidney 10 2016 Local behavior of solutions of the stationary Schrödinger equation with singular potentials and bounds on the density of states of Schrödinger operators. Zbl 1354.35022Klein, Abel; Tsang, C. S. Sidney 1 2016 Bootstrap multiscale analysis and localization for multi-particle continuous Anderson Hamiltonians. Zbl 1330.82029Klein, Abel; Nguyen, Son T. 9 2015 Ground state energy of trimmed discrete Schrödinger operators and localization for trimmed Anderson models. Zbl 1304.82039Elgart, Alexander; Klein, Abel 8 2014 Erratum to: “Poisson statistics for eigenvalues of continuum random Schrödinger operators”. Zbl 1298.82031Combes, Jean-Michel; Germinet, François; Klein, Abel 2 2014 Local Wegner and Lifshitz tails estimates for the density of states for continuous random Schrödinger operators. Zbl 1295.81064Combes, Jean-Michel; Germinet, François; Klein, Abel 1 2014 A comprehensive proof of localization for continuous Anderson models with singular random potentials. Zbl 1267.82066Germinet, François; Klein, Abel 45 2013 The bootstrap multiscale analysis for the multi-particle Anderson model. Zbl 1272.82021Klein, Abel; Nguyen, Son T. 26 2013 Bounds on the density of states for Schrödinger operators. Zbl 1362.35113Bourgain, Jean; Klein, Abel 25 2013 Unique continuation principle for spectral projections of Schrödinger operators and optimal Wegner estimates for non-ergodic random Schrödinger operators. Zbl 1281.47026Klein, Abel 23 2013 Absolutely continuous spectrum for random Schrödinger operators on the Bethe strip. Zbl 1237.82027Klein, Abel; Sadel, Christian 17 2012 Ballistic behavior for random Schrödinger operators on the Bethe strip. Zbl 1268.82015Klein, Abel; Sadel, Christian 11 2011 Lifshitz tails estimate for the density of states of the Anderson model. Zbl 1236.82030Combes, Jean-Michel; Germinet, François; Klein, Abel 1 2011 Poisson statistics for eigenvalues of continuum random Schrödinger operators. Zbl 1227.82034Combes, Jean-Michel; Germinet, François; Klein, Abel 20 2010 Generalized eigenvalue-counting estimates for the Anderson model. Zbl 1168.82016Combes, Jean-Michel; Germinet, François; Klein, Abel 41 2009 On Bernoulli decompositions for random variables, concentration bounds, and spectral localization. Zbl 1152.60020Aizenman, Michael; Germinet, François; Klein, Abel; Warzel, Simone 13 2009 Quantization of the Hall conductance and delocalization in ergodic Landau hamiltonians. Zbl 1180.82099Germinet, François; Klein, Abel; Schenker, Jeffrey H. 5 2009 Random Schrödinger operators: localization and delocalization, and all that. Zbl 1175.81094Germinet, François; Klein, Abel 1 2009 Delocalization for random Landau Hamiltonians with unbounded random variables. Zbl 1193.82019Germinet, François; Klein, Abel; Mandy, Benoit 1 2009 Random Schrödinger operators. Zbl 1151.35002Disertori, Margherita; Kirsch, Werner; Klein, Abel; Klopp, Frédéric; Rivasseau, Vincent 12 2008 Multiscale analysis and localization of random operators. Zbl 1187.82058Klein, Abel 5 2008 The conductivity measure for the Anderson model. Zbl 1155.82010Klein, Abel; Müller, Peter 5 2008 Localization for Schrödinger operators with Poisson random potential. Zbl 1214.82053Germinet, François; Hislop, Peter D.; Klein, Abel 28 2007 Dynamical delocalization in random Landau Hamiltonians. Zbl 1159.82009Germinet, François; Klein, Abel; Schenker, Jeffrey H. 23 2007 On Mott’s formula for the ac-conductivity in the Anderson model. Zbl 1141.82006Klein, Abel; Lenoble, Olivier; Müller, Peter 17 2007 Localization at low energies for attractive Poisson random Schrödinger operators. Zbl 1149.35064Germinet, François; Hislop, Peter D.; Klein, Abel 8 2007 Persistence of Anderson localization in Schrödinger operators with decaying random potentials. Zbl 1159.47059Figotin, Alexander; Germinet, François; Klein, Abel; Müller, Peter 2 2007 Localization for a continuum Cantor-Anderson Hamiltonian. Zbl 1137.81011Germinet, François; Klein, Abel 2 2007 New characterizations of the region of complete localization for random Schrödinger operators. Zbl 1127.82031Germinet, Francois; Klein, Abel 36 2006 Simplicity of eigenvalues in the Anderson model. Zbl 1152.82010Klein, Abel; Molchanov, Stanislav 29 2006 Linear response theory for magnetic Schrödinger operators in disordered media. Zbl 1088.82013Bouclet, Jean-Marc; Germinet, Francois; Klein, Abel; Schenker, Jeffrey H. 32 2005 On localization for the Schrödinger operator with a Poisson random potential. Zbl 1083.35078Germinet, François; Hislop, Peter; Klein, Abel 7 2005 A characterization of the Anderson metal-insulator transport transition. Zbl 1062.82020Germinet, François; Klein, Abel 41 2004 Sub-exponential decay of operator kernels for functions of generalized Schrödinger operators. Zbl 1053.81028Bouclet, Jean-Marc; Germinet, François; Klein, Abel 11 2004 A general framework for localization of classical waves. II: Random media. Zbl 1054.35102Klein, Abel; Koines, Andrew 7 2004 Operator kernel estimates for functions of generalized Schrödinger operators. Zbl 1013.81009Germinet, François; Klein, Abel 37 2003 Explicit finite volume criteria for localization in continuous random media and applications. Zbl 1086.82008Germinet, F.; Klein, A. 26 2003 High disorder localization for random Schrödinger operators through explicit finite volume criteria. Zbl 1213.82045Germinet, F.; Klein, A. 3 2003 The Anderson metal-insulator transport transition. Zbl 1130.82312Germinet, François; Klein, Abel 3 2003 Generalized eigenfunctions for waves in inhomogeneous media. Zbl 1043.35097Klein, Abel; Koines, Andrew; Seifert, Maximilian 13 2002 Bootstrap multiscale analysis and localization in random media. Zbl 0982.82030Germinet, François; Klein, Abel 109 2001 A general framework for localization of classical waves. I: Inhomogeneous media and defect eigenmodes. Zbl 0987.35154Klein, Abel; Koines, Andrew 12 2001 A direct derivation of the exact Fisher information matrix of Gaussian vector state space models. Zbl 1157.62452Klein, A.; Neudecker, H. 7 2000 Extended states in the Anderson model on the Bethe lattice. Zbl 0899.60088Klein, Abel 70 1998 Midgap defect modes in dielectric and acoustic media. Zbl 0963.78005Figotin, Alexander; Klein, Abel 23 1998 Localization of classical waves. II: Electromagnetic waves. Zbl 0878.35110Figotin, Alexander; Klein, Abel 36 1997 Localized classical waves created by defects. Zbl 0952.76543Figotin, Alexander; Klein, Abel 35 1997 Localization of classical waves. I: Acoustic waves. Zbl 0878.35109Figotin, Alexander; Klein, Abel 41 1996 Spreading of wave packets in the Anderson model on the Bethe lattice. Zbl 0860.60050Klein, Abel 18 1996 Absolutely continuous spectrum in random Schrödinger operators. Zbl 0864.60053Klein, Abel 2 1996 Taming Griffiths’ singularities: Infinite differentiability of quenched correlation functions. Zbl 0820.60086von Dreifus, Henrique; Klein, Abel; Perez, J. Fernando 19 1995 The Anderson metal-insulator transition on the Bethe lattice. Zbl 1052.82540Klein, Abel 3 1995 Absolutely continuous spectrum in the Anderson model on the Bethe lattice. Zbl 0835.58045Klein, Abel 29 1994 Localization phenomenon in gaps of the spectrum of random lattice operators. Zbl 0838.47050Figotin, Alexander; Klein, Abel 17 1994 Extinction of contact and percolation processes in a random environment. Zbl 0814.60098Klein, Abel 16 1994 Localization of electromagnetic and acoustic waves in random media. Lattice models. Zbl 0839.76077Figotin, Alexander; Klein, Abel 10 1994 Who is afraid of Griffiths’ singularities? Zbl 0872.60087Klein, A. 1 1994 Ising model in a quasiperiodic transverse field, percolation, and contact processes in quasiperiodic environments. Zbl 1101.82306Jitomirskaya, Svetlana; Klein, Abel 2 1993 Analyticity of the density of states in the Anderson model on the Bethe lattice. Zbl 0893.60093Acosta, Victor; Klein, Abel 12 1992 Localization in the ground state of a disordered array of quantum rotators. Zbl 0755.60101Klein, Abel; Perez, J. Fernando 7 1992 Localization in the ground state of the Ising model with a random transverse field. Zbl 0716.60120Campanino, Massimo; Klein, Abel; Perez, J. Fernando 19 1991 Localization for random Schrödinger operators with correlated potentials. Zbl 0734.60070von Dreifus, Henrique; Klein, Abel 19 1991 Decay of two-point functions for \((d+1)\)-dimensional percolation, Ising and Potts models with d-dimensional disorder. Zbl 0716.60127Campanino, Massimo; Klein, Abel 10 1991 Power-law falloff in two-dimensional Coulomb gases at inverse temperature \(\beta>8\pi\). Zbl 0935.82567Marchetti, Domingos H. U.; Klein, Abel 4 1991 Localization for the Anderson model on a strip with singular potentials. Zbl 0780.60063Klein, Abel; Lacroix, Jean; Speis, Athanasios 35 1990 Localization in the ground-state of the one-dimensional x-y model with a random transverse field. Zbl 0691.60092Klein, Abel; Perez, J. Fernando 11 1990 Regularity of the invariant measure and of the density of states in the one-dimensional Anderson model. Zbl 0698.60050Klein, Abel; Speis, Athanasios 11 1990 Anomalies in the one-dimensional Anderson model at weak disorder. Zbl 0709.60109Campanino, Massimo; Klein, Abel 9 1990 Power-law falloff in the Kosterlitz-Thouless phase of a two-dimensional lattice Coulomb gas. Zbl 1086.82529Marchetti, Domingos H. U.; Klein, Abel; Perez, J. Fernando 9 1990 The supersymmetric replica trick and smoothness of the density of states for random Schrödinger operators. Zbl 0709.60105Klein, Abel 5 1990 A new proof of localization in the Anderson tight binding model. Zbl 0698.60051von Dreifus, Henrique; Klein, Abel 140 1989 Regularity of the density of states in the Anderson model on a strip for potentials with singular continuous distributions. Zbl 0716.60132Klein, Abel; Lacroix, Jean; Speis, Athanasios 9 1989 Smoothness of the density of states in the Anderson model on a one- dimensional strip. Zbl 0635.60077Klein, Abel; Speis, Athanasios 15 1988 Smoothness of the density of states in the Anderson model at high disorder. Zbl 0644.60057Bovier, Anton; Campanino, Massimo; Klein, Abel; Perez, J. Fernando 13 1988 Weak disorder expansion of the invariant measure for the one-dimensional Anderson model. Zbl 1086.82500Bovier, Anton; Klein, Abel 9 1988 Anderson localization for Bernoulli and other singular potentials. Zbl 0615.60098Carmona, Rene; Klein, Abel; Martinelli, Fabio 128 1987 A supersymmetric transfer matrix and differentiability of the density of states in the one-dimensional Anderson model. Zbl 0603.60061Campanino, Massimo; Klein, Abel 31 1986 A rigorous replica trick approach to Anderson localization in one dimension. Zbl 0614.60098Klein, Abel; Martinelli, Fabio; Perez, J. Fernando 12 1986 Supersymmetry and the Parisi-Sourlas dimensional reduction: a rigorous proof. Zbl 0546.60066Klein, Abel; Landau, Lawrence J.; Perez, J. Fernando 15 1984 From the Euclidean group to the Poincaré group via Osterwalder-Schrader positivity. Zbl 0522.22016Klein, Abel; Landau, Lawrence J. 16 1983 Exponential moments for hitting times of uniformly ergodic Markov processes. Zbl 0523.60064Carmona, Rene; Klein, Abel 12 1983 Decoupling inequalities for stationary Gaussian processes. Zbl 0504.60044Klein, Abel; Landau, Lawrence J.; Shucker, David S. 7 1982 Stochastic processes associated with KMS states. Zbl 0498.60098Klein, Abel; Landau, Lawrence J. 29 1981 Construction of a unique self-adjoint generator for a symmetric local semigroup. Zbl 0473.47023Klein, Abel; Landau, Lawrence J. 28 1981 Periodic Gaussian Osterwalder-Schrader positive processes and the two- sided Markov property on the circle. Zbl 0464.60041Klein, Abel; Landau, Lawrence J. 20 1981 On the absence of spontaneous breakdown of continuous symmetry for equilibrium states in two dimensions. Zbl 0509.60098Klein, Abel; Landau, Lawrence J.; Shucker, David S. 4 1981 Sharp inequalities for Weyl operators and Heisenberg groups. Zbl 0359.43005Klein, Abel; Russo, Bernard 13 1978 The semigroup characterization of Osterwalder-Schrader path spaces and the construction of Euclidean fields. Zbl 0382.46030Klein, Abel 13 1978 A generalization of Markov processes. Zbl 0374.60112Klein, Abel 6 1978 Gaussian OS-positive processes. Zbl 0343.60028Klein, Abel 13 1977 A characterization of Osterwalder-Schrader path spaces by the associated semigroup. Zbl 0338.60056Klein, Abel 4 1976 ...and 5 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 724 Authors 62 Klein, Abel 28 Stolz, Gunter 27 Veselić, Ivan 25 Chulaevsky, Victor 21 Germinet, François 19 Klopp, Frédéric 17 Damanik, David 16 Hislop, Peter D. 16 Warzel, Simone 15 Tautenhahn, Martin 12 Aizenman, Michael 11 Albeverio, Sergio A. 11 Elgart, Alexander 11 Sadel, Christian 11 Schenker, Jeffrey H. 10 Sims, Robert L. 10 Täufer, Matthias 9 Combes, Jean-Michel 9 Jitomirskaya, Svetlana Yakovlevna 9 Najar, Hatem 9 Perez, J. Fernando 9 Sabri, Mostafa 8 Bourgain, Jean 8 de Oliveira, César R. 8 Erdős, László 8 Marchetti, Domingos H. U. 8 Ólafsson, Gestur 8 Wang, Wei-Min 7 Bru, Jean-Bernard 7 Campanino, Massimo 7 Figotin, Alexander 7 Hasler, David G. 7 Joye, Alain 7 Lenz, Daniel H. 7 Müller, Peter 7 Neeb, Karl-Hermann 7 Weinstein, Michael I. 6 Denisov, Sergey A. 6 Ekanga, Trésor 6 Froese, Richard 6 Hamza, Eman 6 Imbrie, John Z. 6 Jørgensen, Palle E. T. 6 Keller, Matthias 6 Kirsch, Werner 6 Kondrat’yev, Yuriĭ Grygorovych 6 Kozitsky, Yuri Vasil’evich 6 Krishna, Maddaly 6 Mallick, Anish 6 Miao, Dong 6 Pasurek, Tatiana 6 Rojas-Molina, Constanza 6 Schulz-Baldes, Hermann 6 Simon, Barry 6 Sodin, Sasha 6 Ueki, Naomasa 5 Abdul-Rahman, Houssam M. 5 Anantharaman, Nalini 5 Boumaza, Hakim 5 Carvalho, Silas L. 5 Dolai, Dhriti Ranjan 5 Gebert, Martin 5 Gielerak, Roman 5 Landau, Lawrence J. 5 Marcelli, Giovanna 5 Martinelli, Fabio 5 Molchanov, Stanislav Alekseevich 5 Nakamura, Shu 5 Nakano, Fumihiko 5 Olkiewicz, Robert 5 Röckner, Michael 5 Spitzer, Wolfgang Ludwig 5 Suhov, Yurii Mikhailovich 5 Virág, Bálint 4 Ammari, Habib M. 4 Bordenave, Charles 4 Borisov, Denis Ivanovich 4 Bourget, Olivier 4 Boutet de Monvel, Anne Marie 4 Cornean, Horia D. 4 De Nittis, Giuseppe 4 Fillman, Jake 4 Fischbacher, Christoph 4 Giani, Stefano 4 Gubinelli, Massimiliano 4 Naboko, Serguei N. 4 Nakić, Ivica 4 Olivieri, Enzo 4 Pechmann, Maximilian 4 Pulé, Joseph V. 4 Speis, Athanasios 4 Stollmann, Peter 4 Teufel, Stefan 4 Wreszinski, Walter F. 3 Aloisio, Moacir 3 Asch, Joachim 3 Baklouti, Ali 3 Bertini, Lorenzo Bertini 3 Bovier, Anton 3 Bricmont, Jean ...and 624 more Authors all top 5 Cited in 158 Serials 114 Communications in Mathematical Physics 93 Journal of Statistical Physics 69 Journal of Mathematical Physics 51 Journal of Functional Analysis 47 Annales Henri Poincaré 35 Reviews in Mathematical Physics 28 Mathematical Physics, Analysis and Geometry 18 Letters in Mathematical Physics 17 Journal of Spectral Theory 13 Proceedings of the American Mathematical Society 11 The Annals of Probability 11 Probability Theory and Related Fields 10 Journal of Mathematical Analysis and Applications 9 Journal d’Analyse Mathématique 8 Transactions of the American Mathematical Society 8 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 8 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 8 Journal of the European Mathematical Society (JEMS) 6 International Journal of Modern Physics B 6 Duke Mathematical Journal 6 Communications in Partial Differential Equations 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Mathematische Annalen 5 Publications of the Research Institute for Mathematical Sciences, Kyoto University 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 Stochastic Processes and their Applications 4 Advances in Mathematics 4 Inventiones Mathematicae 4 Journal of Differential Equations 4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 4 Geometric and Functional Analysis. GAFA 4 SIAM Journal on Mathematical Analysis 4 Annales de l’Institut Henri Poincaré. Physique Théorique 4 Pure and Applied Analysis 3 Communications on Pure and Applied Mathematics 3 Israel Journal of Mathematics 3 Reports on Mathematical Physics 3 Arkiv för Matematik 3 Annales de l’Institut Fourier 3 Journal of Soviet Mathematics 3 Ergodic Theory and Dynamical Systems 3 The Annals of Applied Probability 3 Random Operators and Stochastic Equations 3 Electronic Journal of Probability 3 Advances in Mathematical Physics 2 Archive for Rational Mechanics and Analysis 2 Journal of Computational Physics 2 Mathematical Methods in the Applied Sciences 2 Physica A 2 Journal of Geometry and Physics 2 Integral Equations and Operator Theory 2 Journal of Computational and Applied Mathematics 2 Mathematische Nachrichten 2 Mathematische Zeitschrift 2 Mathematika 2 Memoirs of the American Mathematical Society 2 Osaka Journal of Mathematics 2 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 2 SIAM Journal on Applied Mathematics 2 Bulletin of the American Mathematical Society. New Series 2 Calculus of Variations and Partial Differential Equations 2 Journal of Mathematical Sciences (New York) 2 Electronic Communications in Probability 2 Communications in Contemporary Mathematics 2 Journal of Statistical Mechanics: Theory and Experiment 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Waves in Random and Complex Media 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Kyoto Journal of Mathematics 2 Analysis and Mathematical Physics 1 International Journal of Modern Physics A 1 Applicable Analysis 1 Computers & Mathematics with Applications 1 Fluid Dynamics 1 International Journal of Engineering Science 1 International Journal of Theoretical Physics 1 Lithuanian Mathematical Journal 1 Mathematical Notes 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Theoretical and Mathematical Physics 1 Wave Motion 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Chaos, Solitons and Fractals 1 Acta Mathematica 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 BIT 1 Computing 1 Czechoslovak Mathematical Journal 1 Geometriae Dedicata 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Applied Probability 1 Journal of Pure and Applied Algebra 1 Manuscripta Mathematica 1 Nagoya Mathematical Journal 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerische Mathematik 1 Pacific Journal of Mathematics 1 Quarterly of Applied Mathematics 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Semigroup Forum ...and 58 more Serials all top 5 Cited in 46 Fields 458 Statistical mechanics, structure of matter (82-XX) 286 Quantum theory (81-XX) 278 Probability theory and stochastic processes (60-XX) 269 Operator theory (47-XX) 206 Partial differential equations (35-XX) 40 Linear and multilinear algebra; matrix theory (15-XX) 39 Ordinary differential equations (34-XX) 38 Functional analysis (46-XX) 37 Combinatorics (05-XX) 35 Dynamical systems and ergodic theory (37-XX) 34 Optics, electromagnetic theory (78-XX) 24 Topological groups, Lie groups (22-XX) 15 Global analysis, analysis on manifolds (58-XX) 14 Difference and functional equations (39-XX) 14 Abstract harmonic analysis (43-XX) 13 Numerical analysis (65-XX) 11 Measure and integration (28-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 9 Mechanics of deformable solids (74-XX) 9 Fluid mechanics (76-XX) 6 General and overarching topics; collections (00-XX) 6 Mechanics of particles and systems (70-XX) 5 Number theory (11-XX) 5 Real functions (26-XX) 5 Statistics (62-XX) 3 History and biography (01-XX) 3 Group theory and generalizations (20-XX) 3 Functions of a complex variable (30-XX) 3 Potential theory (31-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Integral transforms, operational calculus (44-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Convex and discrete geometry (52-XX) 3 Differential geometry (53-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Nonassociative rings and algebras (17-XX) 2 \(K\)-theory (19-XX) 2 Integral equations (45-XX) 2 Relativity and gravitational theory (83-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Biology and other natural sciences (92-XX) 1 Algebraic geometry (14-XX) 1 Geometry (51-XX) 1 Computer science (68-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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