Edit Profile (opens in new tab) Klein, Abel Co-Author Distance Author ID: klein.abel Published as: Klein, Abel; Klein, A. External Links: MGP · Wikidata · GND Documents Indexed: 117 Publications since 1972, including 1 Book and 3 Additional arXiv Preprints Co-Authors: 51 Co-Authors with 94 Joint Publications 1,208 Co-Co-Authors all top 5 Co-Authors 22 single-authored 25 Germinet, François 9 Elgart, Alexander 9 Landau, Lawrence J. 9 Perez, J. Fernando 7 Figotin, Alexander 5 Campanino, Massimo 5 Combes, Jean-Michel 5 Müller, Peter 4 Hislop, Peter D. 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 75 Statistical mechanics, structure of matter (82-XX) 68 Probability theory and stochastic processes (60-XX) 50 Operator theory (47-XX) 36 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 2,060 times in 915 Documents Cited by ▼ Year ▼ Anderson localization for Bernoulli and other singular potentials. Zbl 0615.60098 Carmona, Rene; Klein, Abel; Martinelli, Fabio 144 1987 A new proof of localization in the Anderson tight binding model. Zbl 0698.60051 von Dreifus, Henrique; Klein, Abel 142 1989 Bootstrap multiscale analysis and localization in random media. Zbl 0982.82030 Germinet, François; Klein, Abel 123 2001 Extended states in the Anderson model on the Bethe lattice. Zbl 0899.60088 Klein, Abel 77 1998 A comprehensive proof of localization for continuous Anderson models with singular random potentials. Zbl 1267.82066 Germinet, François; Klein, Abel 55 2013 Generalized eigenvalue-counting estimates for the Anderson model. Zbl 1168.82016 Combes, Jean-Michel; Germinet, François; Klein, Abel 47 2009 A characterization of the Anderson metal-insulator transport transition. Zbl 1062.82020 Germinet, François; Klein, Abel 46 2004 Localization of classical waves. I: Acoustic waves. Zbl 0878.35109 Figotin, Alexander; Klein, Abel 44 1996 Localization of classical waves. II: Electromagnetic waves. Zbl 0878.35110 Figotin, Alexander; Klein, Abel 40 1997 Localized classical waves created by defects. Zbl 0952.76543 Figotin, Alexander; Klein, Abel 40 1997 Localization for the Anderson model on a strip with singular potentials. Zbl 0780.60063 Klein, Abel; Lacroix, Jean; Speis, Athanasios 39 1990 Operator kernel estimates for functions of generalized Schrödinger operators. Zbl 1013.81009 Germinet, François; Klein, Abel 38 2003 Bounds on the density of states for Schrödinger operators. Zbl 1362.35113 Bourgain, Jean; Klein, Abel 38 2013 New characterizations of the region of complete localization for random Schrödinger operators. Zbl 1127.82031 Germinet, Francois; Klein, Abel 38 2006 Linear response theory for magnetic Schrödinger operators in disordered media. Zbl 1088.82013 Bouclet, Jean-Marc; Germinet, Francois; Klein, Abel; Schenker, Jeffrey H. 35 2005 Stochastic processes associated with KMS states. Zbl 0498.60098 Klein, Abel; Landau, Lawrence J. 34 1981 Localization for Schrödinger operators with Poisson random potential. Zbl 1214.82053 Germinet, François; Hislop, Peter D.; Klein, Abel 34 2007 Construction of a unique self-adjoint generator for a symmetric local semigroup. Zbl 0473.47023 Klein, Abel; Landau, Lawrence J. 33 1981 A supersymmetric transfer matrix and differentiability of the density of states in the one-dimensional Anderson model. Zbl 0603.60061 Campanino, Massimo; Klein, Abel 32 1986 Simplicity of eigenvalues in the Anderson model. Zbl 1152.82010 Klein, Abel; Molchanov, Stanislav 32 2006 Unique continuation principle for spectral projections of Schrödinger operators and optimal Wegner estimates for non-ergodic random Schrödinger operators. Zbl 1281.47026 Klein, Abel 31 2013 Absolutely continuous spectrum in the Anderson model on the Bethe lattice. Zbl 0835.58045 Klein, Abel 30 1994 Explicit finite volume criteria for localization in continuous random media and applications. Zbl 1086.82008 Germinet, F.; Klein, A. 28 2003 Midgap defect modes in dielectric and acoustic media. Zbl 0963.78005 Figotin, Alexander; Klein, Abel 26 1998 Dynamical delocalization in random Landau Hamiltonians. Zbl 1159.82009 Germinet, François; Klein, Abel; Schenker, Jeffrey H. 26 2007 The bootstrap multiscale analysis for the multi-particle Anderson model. Zbl 1272.82021 Klein, Abel; Nguyen, Son T. 25 2013 Taming Griffiths’ singularities: Infinite differentiability of quenched correlation functions. Zbl 0820.60086 von Dreifus, Henrique; Klein, Abel; Perez, J. Fernando 23 1995 Many-body localization in the droplet spectrum of the random XXZ quantum spin chain. Zbl 1397.82030 Elgart, Alexander; Klein, Abel; Stolz, Günter 22 2018 Localization for random Schrödinger operators with correlated potentials. Zbl 0734.60070 von Dreifus, Henrique; Klein, Abel 21 1991 Poisson statistics for eigenvalues of continuum random Schrödinger operators. Zbl 1227.82034 Combes, Jean-Michel; Germinet, François; Klein, Abel 21 2010 Periodic Gaussian Osterwalder-Schrader positive processes and the two- sided Markov property on the circle. Zbl 0464.60041 Klein, Abel; Landau, Lawrence J. 21 1981 Random Schrödinger operators. Zbl 1151.35002 Disertori, Margherita; Kirsch, Werner; Klein, Abel; Klopp, Frédéric; Rivasseau, Vincent 21 2008 Extinction of contact and percolation processes in a random environment. Zbl 0814.60098 Klein, Abel 20 1994 Localization in the ground state of the Ising model with a random transverse field. Zbl 0716.60120 Campanino, Massimo; Klein, Abel; Perez, J. Fernando 20 1991 From the Euclidean group to the Poincaré group via Osterwalder-Schrader positivity. Zbl 0522.22016 Klein, Abel; Landau, Lawrence J. 19 1983 Singular perturbations of positivity preserving semigroups via path space techniques. Zbl 0335.47028 Klein, Abel; Landau, Lawrence J. 19 1975 On Mott’s formula for the ac-conductivity in the Anderson model. Zbl 1141.82006 Klein, Abel; Lenoble, Olivier; Müller, Peter 19 2007 Localization phenomenon in gaps of the spectrum of random lattice operators. Zbl 0838.47050 Figotin, Alexander; Klein, Abel 18 1994 Spreading of wave packets in the Anderson model on the Bethe lattice. Zbl 0860.60050 Klein, Abel 18 1996 Sharp inequalities for Weyl operators and Heisenberg groups. Zbl 0359.43005 Klein, Abel; Russo, Bernard 18 1978 Absolutely continuous spectrum for random Schrödinger operators on the Bethe strip. Zbl 1237.82027 Klein, Abel; Sadel, Christian 18 2012 Gaussian OS-positive processes. Zbl 0343.60028 Klein, Abel 17 1977 Smoothness of the density of states in the Anderson model on a one- dimensional strip. Zbl 0635.60077 Klein, Abel; Speis, Athanasios 16 1988 Supersymmetry and the Parisi-Sourlas dimensional reduction: a rigorous proof. Zbl 0546.60066 Klein, Abel; Landau, Lawrence J.; Perez, J. Fernando 16 1984 Analyticity of the density of states in the Anderson model on the Bethe lattice. Zbl 0893.60093 Acosta, Victor; Klein, Abel 16 1992 On Bernoulli decompositions for random variables, concentration bounds, and spectral localization. Zbl 1152.60020 Aizenman, Michael; Germinet, François; Klein, Abel; Warzel, Simone 15 2009 Manifestations of dynamical localization in the disordered XXZ spin chain. Zbl 1414.82008 Elgart, Alexander; Klein, Abel; Stolz, Günter 15 2018 Smoothness of the density of states in the Anderson model at high disorder. Zbl 0644.60057 Bovier, Anton; Campanino, Massimo; Klein, Abel; Perez, J. Fernando 14 1988 Localization of electromagnetic and acoustic waves in random media. Lattice models. Zbl 0839.76077 Figotin, Alexander; Klein, Abel 13 1994 Generalized eigenfunctions for waves in inhomogeneous media. Zbl 1043.35097 Klein, Abel; Koines, Andrew; Seifert, Maximilian 13 2002 Localization in the ground-state of the one-dimensional x-y model with a random transverse field. Zbl 0691.60092 Klein, Abel; Perez, J. Fernando 13 1990 The semigroup characterization of Osterwalder-Schrader path spaces and the construction of Euclidean fields. Zbl 0382.46030 Klein, Abel 13 1978 An eigensystem approach to Anderson localization. Zbl 1358.82019 Elgart, Alexander; Klein, Abel 13 2016 Regularity of the invariant measure and of the density of states in the one-dimensional Anderson model. Zbl 0698.60050 Klein, Abel; Speis, Athanasios 12 1990 A rigorous replica trick approach to Anderson localization in one dimension. Zbl 0614.60098 Klein, Abel; Martinelli, Fabio; Perez, J. Fernando 12 1986 Exponential moments for hitting times of uniformly ergodic Markov processes. Zbl 0523.60064 Carmona, Rene; Klein, Abel 12 1983 A general framework for localization of classical waves. I: Inhomogeneous media and defect eigenmodes. Zbl 0987.35154 Klein, Abel; Koines, Andrew 12 2001 Quantitative unique continuation principle for Schrödinger operators with singular potentials. Zbl 1339.35070 Klein, Abel; Tsang, C. S. Sidney 12 2016 Sub-exponential decay of operator kernels for functions of generalized Schrödinger operators. Zbl 1053.81028 Bouclet, Jean-Marc; Germinet, François; Klein, Abel 11 2004 Decay of two-point functions for \((d+1)\)-dimensional percolation, Ising and Potts models with d-dimensional disorder. Zbl 0716.60127 Campanino, Massimo; Klein, Abel 11 1991 Ground state energy of trimmed discrete Schrödinger operators and localization for trimmed Anderson models. Zbl 1304.82039 Elgart, Alexander; Klein, Abel 11 2014 Ballistic behavior for random Schrödinger operators on the Bethe strip. Zbl 1268.82015 Klein, Abel; Sadel, Christian 11 2011 Regularity of the density of states in the Anderson model on a strip for potentials with singular continuous distributions. Zbl 0716.60132 Klein, Abel; Lacroix, Jean; Speis, Athanasios 10 1989 On localization for the Schrödinger operator with a Poisson random potential. Zbl 1083.35078 Germinet, François; Hislop, Peter; Klein, Abel 9 2005 Anomalies in the one-dimensional Anderson model at weak disorder. Zbl 0709.60109 Campanino, Massimo; Klein, Abel 9 1990 Weak disorder expansion of the invariant measure for the one-dimensional Anderson model. Zbl 1086.82500 Bovier, Anton; Klein, Abel 9 1988 Power-law falloff in the Kosterlitz-Thouless phase of a two-dimensional lattice Coulomb gas. Zbl 1086.82529 Marchetti, Domingos H. U.; Klein, Abel; Perez, J. Fernando 9 1990 Localization at low energies for attractive Poisson random Schrödinger operators. Zbl 1149.35064 Germinet, François; Hislop, Peter D.; Klein, Abel 9 2007 Bootstrap multiscale analysis and localization for multi-particle continuous Anderson Hamiltonians. Zbl 1330.82029 Klein, Abel; Nguyen, Son T. 9 2015 The supersymmetric replica trick and smoothness of the density of states for random Schrödinger operators. Zbl 0709.60105 Klein, Abel 8 1990 A general framework for localization of classical waves. II: Random media. Zbl 1054.35102 Klein, Abel; Koines, Andrew 8 2004 Decoupling inequalities for stationary Gaussian processes. Zbl 0504.60044 Klein, Abel; Landau, Lawrence J.; Shucker, David S. 8 1982 A generalization of Markov processes. Zbl 0374.60112 Klein, Abel 8 1978 Droplet localization in the random XXZ model and its manifestations. Zbl 1382.82011 Elgart, A.; Klein, A.; Stolz, G. 8 2018 A direct derivation of the exact Fisher information matrix of Gaussian vector state space models. Zbl 1157.62452 Klein, A.; Neudecker, H. 7 2000 Localization in the ground state of a disordered array of quantum rotators. Zbl 0755.60101 Klein, Abel; Perez, J. Fernando 7 1992 Multiscale analysis and localization of random operators. Zbl 1187.82058 Klein, Abel 7 2008 The conductivity measure for the Anderson model. Zbl 1155.82010 Klein, Abel; Müller, Peter 6 2008 Characterization of the metal-insulator transport transition for the two-particle Anderson model. Zbl 1434.82083 Klein, Abel; Nguyen, Son T.; Rojas-Molina, Constanza 6 2017 Absolutely continuous spectrum in random Schrödinger operators. Zbl 0864.60053 Klein, Abel 5 1996 A characterization of Osterwalder-Schrader path spaces by the associated semigroup. Zbl 0338.60056 Klein, Abel 5 1976 Quantization of the Hall conductance and delocalization in ergodic Landau hamiltonians. Zbl 1180.82099 Germinet, François; Klein, Abel; Schenker, Jeffrey H. 5 2009 Persistence of Anderson localization in Schrödinger operators with decaying random potentials. Zbl 1159.47059 Figotin, Alexander; Germinet, François; Klein, Abel; Müller, Peter 5 2007 On the absence of spontaneous breakdown of continuous symmetry for equilibrium states in two dimensions. Zbl 0509.60098 Klein, Abel; Landau, Lawrence J.; Shucker, David S. 4 1981 Power-law falloff in two-dimensional Coulomb gases at inverse temperature \(\beta>8\pi\). Zbl 0935.82567 Marchetti, Domingos H. U.; Klein, Abel 4 1991 High disorder localization for random Schrödinger operators through explicit finite volume criteria. Zbl 1213.82045 Germinet, F.; Klein, A. 4 2003 Renormalized products of the generalized free field and its derivatives. Zbl 0254.47042 Klein, Abel 4 1973 Eigensystem bootstrap multiscale analysis for the Anderson model. Zbl 1403.82012 Klein, Abel; Tsang, Chi Shing Sidney 4 2018 Eigensystem multiscale analysis for Anderson localization in energy intervals. Zbl 1426.82028 Elgart, Alexander; Klein, Abel 4 2019 The Anderson metal-insulator transition on the Bethe lattice. Zbl 1052.82540 Klein, Abel 3 1995 The Anderson metal-insulator transport transition. Zbl 1130.82312 Germinet, François; Klein, Abel 3 2003 Erratum to: “Poisson statistics for eigenvalues of continuum random Schrödinger operators”. Zbl 1298.82031 Combes, Jean-Michel; Germinet, François; Klein, Abel 3 2014 Quadratic expressions in a free boson field. Zbl 0266.47035 Klein, Abel 3 1973 Ising model in a quasiperiodic transverse field, percolation, and contact processes in quasiperiodic environments. Zbl 1101.82306 Jitomirskaya, Svetlana; Klein, Abel 3 1993 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 07013565 Dietlein, Adrian; Gebert, Martin; Hislop, Peter D.; Klein, Abel; Müller, Peter 3 2018 Random Schrödinger operators: localization and delocalization, and all that. Zbl 1175.81094 Germinet, François; Klein, Abel 2 2009 Eigensystem multiscale analysis for the Anderson model via the Wegner estimate. Zbl 1451.82019 Elgart, Alexander; Klein, Abel 2 2020 Localization for a continuum Cantor-Anderson Hamiltonian. Zbl 1137.81011 Germinet, François; Klein, Abel 2 2007 The \(:\phi^{2}:\) field in the \(P(\phi)_{2}\) model. Zbl 1358.81145 Klein, Abel; Landau, Lawrence J. 2 1975 Local behavior of solutions of the stationary Schrödinger equation with singular potentials and bounds on the density of states of Schrödinger operators. Zbl 1354.35022 Klein, Abel; Tsang, C. S. Sidney 2 2016 Eigensystem multiscale analysis for the Anderson model via the Wegner estimate. Zbl 1451.82019 Elgart, Alexander; Klein, Abel 2 2020 Eigensystem multiscale analysis for Anderson localization in energy intervals. Zbl 1426.82028 Elgart, Alexander; Klein, Abel 4 2019 Many-body localization in the droplet spectrum of the random XXZ quantum spin chain. Zbl 1397.82030 Elgart, Alexander; Klein, Abel; Stolz, Günter 22 2018 Manifestations of dynamical localization in the disordered XXZ spin chain. Zbl 1414.82008 Elgart, Alexander; Klein, Abel; Stolz, Günter 15 2018 Droplet localization in the random XXZ model and its manifestations. Zbl 1382.82011 Elgart, A.; Klein, A.; Stolz, G. 8 2018 Eigensystem bootstrap multiscale analysis for the Anderson model. Zbl 1403.82012 Klein, 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 07013565 Dietlein, 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 1434.82083 Klein, Abel; Nguyen, Son T.; Rojas-Molina, Constanza 6 2017 An eigensystem approach to Anderson localization. Zbl 1358.82019 Elgart, Alexander; Klein, Abel 13 2016 Quantitative unique continuation principle for Schrödinger operators with singular potentials. Zbl 1339.35070 Klein, Abel; Tsang, C. S. Sidney 12 2016 Local behavior of solutions of the stationary Schrödinger equation with singular potentials and bounds on the density of states of Schrödinger operators. Zbl 1354.35022 Klein, Abel; Tsang, C. S. Sidney 2 2016 Bootstrap multiscale analysis and localization for multi-particle continuous Anderson Hamiltonians. Zbl 1330.82029 Klein, Abel; Nguyen, Son T. 9 2015 Ground state energy of trimmed discrete Schrödinger operators and localization for trimmed Anderson models. Zbl 1304.82039 Elgart, Alexander; Klein, Abel 11 2014 Erratum to: “Poisson statistics for eigenvalues of continuum random Schrödinger operators”. Zbl 1298.82031 Combes, Jean-Michel; Germinet, François; Klein, Abel 3 2014 Local Wegner and Lifshitz tails estimates for the density of states for continuous random Schrödinger operators. Zbl 1295.81064 Combes, Jean-Michel; Germinet, François; Klein, Abel 1 2014 A comprehensive proof of localization for continuous Anderson models with singular random potentials. Zbl 1267.82066 Germinet, François; Klein, Abel 55 2013 Bounds on the density of states for Schrödinger operators. Zbl 1362.35113 Bourgain, Jean; Klein, Abel 38 2013 Unique continuation principle for spectral projections of Schrödinger operators and optimal Wegner estimates for non-ergodic random Schrödinger operators. Zbl 1281.47026 Klein, Abel 31 2013 The bootstrap multiscale analysis for the multi-particle Anderson model. Zbl 1272.82021 Klein, Abel; Nguyen, Son T. 25 2013 Absolutely continuous spectrum for random Schrödinger operators on the Bethe strip. Zbl 1237.82027 Klein, Abel; Sadel, Christian 18 2012 Ballistic behavior for random Schrödinger operators on the Bethe strip. Zbl 1268.82015 Klein, Abel; Sadel, Christian 11 2011 Lifshitz tails estimate for the density of states of the Anderson model. Zbl 1236.82030 Combes, Jean-Michel; Germinet, François; Klein, Abel 1 2011 Poisson statistics for eigenvalues of continuum random Schrödinger operators. Zbl 1227.82034 Combes, Jean-Michel; Germinet, François; Klein, Abel 21 2010 Generalized eigenvalue-counting estimates for the Anderson model. Zbl 1168.82016 Combes, Jean-Michel; Germinet, François; Klein, Abel 47 2009 On Bernoulli decompositions for random variables, concentration bounds, and spectral localization. Zbl 1152.60020 Aizenman, Michael; Germinet, François; Klein, Abel; Warzel, Simone 15 2009 Quantization of the Hall conductance and delocalization in ergodic Landau hamiltonians. Zbl 1180.82099 Germinet, François; Klein, Abel; Schenker, Jeffrey H. 5 2009 Random Schrödinger operators: localization and delocalization, and all that. Zbl 1175.81094 Germinet, François; Klein, Abel 2 2009 Delocalization for random Landau Hamiltonians with unbounded random variables. Zbl 1193.82019 Germinet, François; Klein, Abel; Mandy, Benoit 1 2009 Random Schrödinger operators. Zbl 1151.35002 Disertori, Margherita; Kirsch, Werner; Klein, Abel; Klopp, Frédéric; Rivasseau, Vincent 21 2008 Multiscale analysis and localization of random operators. Zbl 1187.82058 Klein, Abel 7 2008 The conductivity measure for the Anderson model. Zbl 1155.82010 Klein, Abel; Müller, Peter 6 2008 Localization for Schrödinger operators with Poisson random potential. Zbl 1214.82053 Germinet, François; Hislop, Peter D.; Klein, Abel 34 2007 Dynamical delocalization in random Landau Hamiltonians. Zbl 1159.82009 Germinet, François; Klein, Abel; Schenker, Jeffrey H. 26 2007 On Mott’s formula for the ac-conductivity in the Anderson model. Zbl 1141.82006 Klein, Abel; Lenoble, Olivier; Müller, Peter 19 2007 Localization at low energies for attractive Poisson random Schrödinger operators. Zbl 1149.35064 Germinet, François; Hislop, Peter D.; Klein, Abel 9 2007 Persistence of Anderson localization in Schrödinger operators with decaying random potentials. Zbl 1159.47059 Figotin, Alexander; Germinet, François; Klein, Abel; Müller, Peter 5 2007 Localization for a continuum Cantor-Anderson Hamiltonian. Zbl 1137.81011 Germinet, François; Klein, Abel 2 2007 New characterizations of the region of complete localization for random Schrödinger operators. Zbl 1127.82031 Germinet, Francois; Klein, Abel 38 2006 Simplicity of eigenvalues in the Anderson model. Zbl 1152.82010 Klein, Abel; Molchanov, Stanislav 32 2006 Linear response theory for magnetic Schrödinger operators in disordered media. Zbl 1088.82013 Bouclet, Jean-Marc; Germinet, Francois; Klein, Abel; Schenker, Jeffrey H. 35 2005 On localization for the Schrödinger operator with a Poisson random potential. Zbl 1083.35078 Germinet, François; Hislop, Peter; Klein, Abel 9 2005 A characterization of the Anderson metal-insulator transport transition. Zbl 1062.82020 Germinet, François; Klein, Abel 46 2004 Sub-exponential decay of operator kernels for functions of generalized Schrödinger operators. Zbl 1053.81028 Bouclet, Jean-Marc; Germinet, François; Klein, Abel 11 2004 A general framework for localization of classical waves. II: Random media. Zbl 1054.35102 Klein, Abel; Koines, Andrew 8 2004 Operator kernel estimates for functions of generalized Schrödinger operators. Zbl 1013.81009 Germinet, François; Klein, Abel 38 2003 Explicit finite volume criteria for localization in continuous random media and applications. Zbl 1086.82008 Germinet, F.; Klein, A. 28 2003 High disorder localization for random Schrödinger operators through explicit finite volume criteria. Zbl 1213.82045 Germinet, F.; Klein, A. 4 2003 The Anderson metal-insulator transport transition. Zbl 1130.82312 Germinet, François; Klein, Abel 3 2003 Generalized eigenfunctions for waves in inhomogeneous media. Zbl 1043.35097 Klein, Abel; Koines, Andrew; Seifert, Maximilian 13 2002 Bootstrap multiscale analysis and localization in random media. Zbl 0982.82030 Germinet, François; Klein, Abel 123 2001 A general framework for localization of classical waves. I: Inhomogeneous media and defect eigenmodes. Zbl 0987.35154 Klein, Abel; Koines, Andrew 12 2001 A direct derivation of the exact Fisher information matrix of Gaussian vector state space models. Zbl 1157.62452 Klein, A.; Neudecker, H. 7 2000 Extended states in the Anderson model on the Bethe lattice. Zbl 0899.60088 Klein, Abel 77 1998 Midgap defect modes in dielectric and acoustic media. Zbl 0963.78005 Figotin, Alexander; Klein, Abel 26 1998 Localization of classical waves. II: Electromagnetic waves. Zbl 0878.35110 Figotin, Alexander; Klein, Abel 40 1997 Localized classical waves created by defects. Zbl 0952.76543 Figotin, Alexander; Klein, Abel 40 1997 Localization of classical waves. I: Acoustic waves. Zbl 0878.35109 Figotin, Alexander; Klein, Abel 44 1996 Spreading of wave packets in the Anderson model on the Bethe lattice. Zbl 0860.60050 Klein, Abel 18 1996 Absolutely continuous spectrum in random Schrödinger operators. Zbl 0864.60053 Klein, Abel 5 1996 Taming Griffiths’ singularities: Infinite differentiability of quenched correlation functions. Zbl 0820.60086 von Dreifus, Henrique; Klein, Abel; Perez, J. Fernando 23 1995 The Anderson metal-insulator transition on the Bethe lattice. Zbl 1052.82540 Klein, Abel 3 1995 Absolutely continuous spectrum in the Anderson model on the Bethe lattice. Zbl 0835.58045 Klein, Abel 30 1994 Extinction of contact and percolation processes in a random environment. Zbl 0814.60098 Klein, Abel 20 1994 Localization phenomenon in gaps of the spectrum of random lattice operators. Zbl 0838.47050 Figotin, Alexander; Klein, Abel 18 1994 Localization of electromagnetic and acoustic waves in random media. Lattice models. Zbl 0839.76077 Figotin, Alexander; Klein, Abel 13 1994 Who is afraid of Griffiths’ singularities? Zbl 0872.60087 Klein, A. 1 1994 Ising model in a quasiperiodic transverse field, percolation, and contact processes in quasiperiodic environments. Zbl 1101.82306 Jitomirskaya, Svetlana; Klein, Abel 3 1993 Analyticity of the density of states in the Anderson model on the Bethe lattice. Zbl 0893.60093 Acosta, Victor; Klein, Abel 16 1992 Localization in the ground state of a disordered array of quantum rotators. Zbl 0755.60101 Klein, Abel; Perez, J. Fernando 7 1992 Localization for random Schrödinger operators with correlated potentials. Zbl 0734.60070 von Dreifus, Henrique; Klein, Abel 21 1991 Localization in the ground state of the Ising model with a random transverse field. Zbl 0716.60120 Campanino, Massimo; Klein, Abel; Perez, J. Fernando 20 1991 Decay of two-point functions for \((d+1)\)-dimensional percolation, Ising and Potts models with d-dimensional disorder. Zbl 0716.60127 Campanino, Massimo; Klein, Abel 11 1991 Power-law falloff in two-dimensional Coulomb gases at inverse temperature \(\beta>8\pi\). Zbl 0935.82567 Marchetti, Domingos H. U.; Klein, Abel 4 1991 Localization for the Anderson model on a strip with singular potentials. Zbl 0780.60063 Klein, Abel; Lacroix, Jean; Speis, Athanasios 39 1990 Localization in the ground-state of the one-dimensional x-y model with a random transverse field. Zbl 0691.60092 Klein, Abel; Perez, J. Fernando 13 1990 Regularity of the invariant measure and of the density of states in the one-dimensional Anderson model. Zbl 0698.60050 Klein, Abel; Speis, Athanasios 12 1990 Anomalies in the one-dimensional Anderson model at weak disorder. Zbl 0709.60109 Campanino, Massimo; Klein, Abel 9 1990 Power-law falloff in the Kosterlitz-Thouless phase of a two-dimensional lattice Coulomb gas. Zbl 1086.82529 Marchetti, 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 0709.60105 Klein, Abel 8 1990 A new proof of localization in the Anderson tight binding model. Zbl 0698.60051 von Dreifus, Henrique; Klein, Abel 142 1989 Regularity of the density of states in the Anderson model on a strip for potentials with singular continuous distributions. Zbl 0716.60132 Klein, Abel; Lacroix, Jean; Speis, Athanasios 10 1989 Smoothness of the density of states in the Anderson model on a one- dimensional strip. Zbl 0635.60077 Klein, Abel; Speis, Athanasios 16 1988 Smoothness of the density of states in the Anderson model at high disorder. Zbl 0644.60057 Bovier, Anton; Campanino, Massimo; Klein, Abel; Perez, J. Fernando 14 1988 Weak disorder expansion of the invariant measure for the one-dimensional Anderson model. Zbl 1086.82500 Bovier, Anton; Klein, Abel 9 1988 Anderson localization for Bernoulli and other singular potentials. Zbl 0615.60098 Carmona, Rene; Klein, Abel; Martinelli, Fabio 144 1987 A supersymmetric transfer matrix and differentiability of the density of states in the one-dimensional Anderson model. Zbl 0603.60061 Campanino, Massimo; Klein, Abel 32 1986 A rigorous replica trick approach to Anderson localization in one dimension. Zbl 0614.60098 Klein, Abel; Martinelli, Fabio; Perez, J. Fernando 12 1986 Supersymmetry and the Parisi-Sourlas dimensional reduction: a rigorous proof. Zbl 0546.60066 Klein, Abel; Landau, Lawrence J.; Perez, J. Fernando 16 1984 From the Euclidean group to the Poincaré group via Osterwalder-Schrader positivity. Zbl 0522.22016 Klein, Abel; Landau, Lawrence J. 19 1983 Exponential moments for hitting times of uniformly ergodic Markov processes. Zbl 0523.60064 Carmona, Rene; Klein, Abel 12 1983 Decoupling inequalities for stationary Gaussian processes. Zbl 0504.60044 Klein, Abel; Landau, Lawrence J.; Shucker, David S. 8 1982 Stochastic processes associated with KMS states. Zbl 0498.60098 Klein, Abel; Landau, Lawrence J. 34 1981 Construction of a unique self-adjoint generator for a symmetric local semigroup. Zbl 0473.47023 Klein, Abel; Landau, Lawrence J. 33 1981 Periodic Gaussian Osterwalder-Schrader positive processes and the two- sided Markov property on the circle. Zbl 0464.60041 Klein, Abel; Landau, Lawrence J. 21 1981 On the absence of spontaneous breakdown of continuous symmetry for equilibrium states in two dimensions. Zbl 0509.60098 Klein, Abel; Landau, Lawrence J.; Shucker, David S. 4 1981 Sharp inequalities for Weyl operators and Heisenberg groups. Zbl 0359.43005 Klein, Abel; Russo, Bernard 18 1978 The semigroup characterization of Osterwalder-Schrader path spaces and the construction of Euclidean fields. Zbl 0382.46030 Klein, Abel 13 1978 A generalization of Markov processes. Zbl 0374.60112 Klein, Abel 8 1978 Gaussian OS-positive processes. Zbl 0343.60028 Klein, Abel 17 1977 A characterization of Osterwalder-Schrader path spaces by the associated semigroup. Zbl 0338.60056 Klein, Abel 5 1976 ...and 5 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 815 Authors 63 Klein, Abel 31 Veselić, Ivan 30 Stolz, Gunter 26 Chulaevsky, Victor 21 Germinet, François 20 Klopp, Frédéric 19 Damanik, David 18 Tautenhahn, Martin 17 Hislop, Peter D. 16 Warzel, Simone 15 Elgart, Alexander 13 Albeverio, Sergio A. 13 Schenker, Jeffrey H. 12 Aizenman, Michael 12 Jitomirskaya, Svetlana Yakovlevna 12 Sadel, Christian 11 Sims, Robert L. 11 Täufer, Matthias 10 Ólafsson, Gestur 10 Sabri, Mostafa 9 Bourgain, Jean 9 Combes, Jean-Michel 9 Müller, Peter 9 Najar, Hatem 9 Perez, J. Fernando 8 Campanino, Massimo 8 de Oliveira, César R. 8 Erdős, László 8 Hasler, David G. 8 Mallick, Anish 8 Marchetti, Domingos H. U. 8 Neeb, Karl-Hermann 8 Stollmann, Peter 8 Wang, Wei-Min 7 Abdul-Rahman, Houssam M. 7 Bru, Jean-Bernard 7 Dolai, Dhriti Ranjan 7 Figotin, Alexander 7 Joye, Alain 7 Kondrat’yev, Yuriĭ Grygorovych 7 Lenz, Daniel H. 7 Weinstein, Michael I. 6 Denisov, Sergey A. 6 Ekanga, Trésor 6 Fischbacher, Christoph 6 Froese, Richard 6 Gebert, Martin 6 Hamza, Eman 6 Imbrie, John Z. 6 Jørgensen, Palle E. T. 6 Keller, Matthias 6 Kirsch, Werner 6 Kozitsky, Yuri Vasil’evich 6 Krishna, Maddaly 6 Miao, Dong 6 Nakamura, Shu 6 Pasurek, Tatiana 6 Rojas-Molina, Constanza 6 Schulz-Baldes, Hermann 6 Simon, Barry 6 Sodin, Sasha 6 Spitzer, Wolfgang Ludwig 6 Ueki, Naomasa 6 Virág, Bálint 5 Ammari, Habib 5 Anantharaman, Nalini 5 Bordenave, Charles 5 Boumaza, Hakim 5 Carvalho, Silas L. 5 De Nittis, Giuseppe 5 Fillman, Jake 5 Gielerak, Roman 5 Landau, Lawrence J. 5 Marcelli, Giovanna 5 Martinelli, Fabio 5 Molchanov, Stanislav Alekseevich 5 Nakano, Fumihiko 5 Olkiewicz, Robert 5 Pechmann, Maximilian 5 Röckner, Michael 5 Speis, Athanasios 5 Suhov, Yurii Mikhailovich 4 Borisov, Denis Ivanovich 4 Bourget, Olivier 4 Boutet de Monvel, Anne Marie 4 Cornean, Horia D. 4 Dicke, Alexander 4 Ducatez, Raphael 4 Giani, Stefano 4 Gubinelli, Massimiliano 4 Hilário, Marcelo Richard 4 Jaffe, Arthur Michael 4 Jakóbczyk, Lech 4 Kerner, Joachim 4 Knowles, Antti 4 Krüger, Helge 4 Mavi, Rajinder 4 Mayboroda, Svitlana 4 Naboko, Serguei N. 4 Nachtergaele, Bruno ...and 715 more Authors all top 5 Cited in 179 Serials 124 Communications in Mathematical Physics 95 Journal of Statistical Physics 79 Journal of Mathematical Physics 53 Journal of Functional Analysis 50 Annales Henri Poincaré 38 Reviews in Mathematical Physics 28 Mathematical Physics, Analysis and Geometry 19 Letters in Mathematical Physics 19 Journal of Spectral Theory 13 Proceedings of the American Mathematical Society 12 Probability Theory and Related Fields 11 The Annals of Probability 10 Journal of Mathematical Analysis and Applications 9 Journal d’Analyse Mathématique 8 Duke Mathematical Journal 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 Reports on Mathematical Physics 6 Communications in Partial Differential Equations 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 Stochastic Processes and their Applications 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Inventiones Mathematicae 5 Journal of Differential Equations 5 Mathematische Annalen 5 Publications of the Research Institute for Mathematical Sciences, Kyoto University 5 SIAM Journal on Mathematical Analysis 4 Advances in Mathematics 4 The Annals of Applied Probability 4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 4 Geometric and Functional Analysis. GAFA 4 Annals of Physics 4 Annales de l’Institut Henri Poincaré. Physique Théorique 4 Random Operators and Stochastic Equations 4 Electronic Journal of Probability 4 Pure and Applied Analysis 3 Communications on Pure and Applied Mathematics 3 Israel Journal of Mathematics 3 Arkiv för Matematik 3 Annales de l’Institut Fourier 3 Integral Equations and Operator Theory 3 Journal of Soviet Mathematics 3 Mathematische Nachrichten 3 Ergodic Theory and Dynamical Systems 3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3 Operators and Matrices 3 Advances in Mathematical Physics 3 Analysis and 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 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Journal of Geometry and Physics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Journal of Computational and Applied Mathematics 2 Journal of the London Mathematical Society. Second Series 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 Stochastic Analysis and Applications 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 The Journal of Fourier Analysis and Applications 2 Documenta Mathematica 2 Communications in Contemporary Mathematics 2 Journal of High Energy Physics 2 Journal of Statistical Mechanics: Theory and Experiment 2 Oberwolfach Reports 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Waves in Random and Complex Media 2 Complex Analysis and Operator Theory 2 Journal of Physics A: Mathematical and Theoretical 2 Analysis & PDE 2 Kyoto Journal of Mathematics 2 Annalen der Physik 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 Physics Letters. A 1 Theoretical and Mathematical Physics 1 Wave Motion 1 Chaos, Solitons and Fractals 1 Acta Mathematica 1 BIT ...and 79 more Serials all top 5 Cited in 48 Fields 495 Statistical mechanics, structure of matter (82-XX) 324 Quantum theory (81-XX) 306 Probability theory and stochastic processes (60-XX) 298 Operator theory (47-XX) 235 Partial differential equations (35-XX) 45 Linear and multilinear algebra; matrix theory (15-XX) 45 Ordinary differential equations (34-XX) 45 Dynamical systems and ergodic theory (37-XX) 43 Functional analysis (46-XX) 41 Combinatorics (05-XX) 37 Optics, electromagnetic theory (78-XX) 30 Topological groups, Lie groups (22-XX) 19 Abstract harmonic analysis (43-XX) 18 Global analysis, analysis on manifolds (58-XX) 17 Difference and functional equations (39-XX) 15 Harmonic analysis on Euclidean spaces (42-XX) 15 Numerical analysis (65-XX) 14 Measure and integration (28-XX) 12 Mechanics of deformable solids (74-XX) 9 Fluid mechanics (76-XX) 7 General and overarching topics; collections (00-XX) 7 Real functions (26-XX) 7 Statistics (62-XX) 6 Number theory (11-XX) 6 Mechanics of particles and systems (70-XX) 5 Differential geometry (53-XX) 4 Group theory and generalizations (20-XX) 4 Functions of a complex variable (30-XX) 4 Convex and discrete geometry (52-XX) 3 History and biography (01-XX) 3 Nonassociative rings and algebras (17-XX) 3 Potential theory (31-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Integral transforms, operational calculus (44-XX) 3 Integral equations (45-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Relativity and gravitational theory (83-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 \(K\)-theory (19-XX) 2 Computer science (68-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Biology and other natural sciences (92-XX) 2 Information and communication theory, circuits (94-XX) 1 Algebraic geometry (14-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Systems theory; control (93-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.