Edit Profile (opens in new tab) Pastur, Leonid Andreevich Compute Distance To: Compute Author ID: pastur.leonid-andreevich Published as: Pastur, L. A.; Pastur, L.; Pastur, Leonid; Pastur, Leonid A. more...less Homepage: http://www.ilt.kharkov.ua/bvi/structure/depart_e/d26/pastur.html External Links: MGP Documents Indexed: 151 Publications since 1963, including 2 Books 3 Contributions as Editor Biographic References: 5 Publications Co-Authors: 147 Co-Authors with 112 Joint Publications 4,679 Co-Co-Authors all top 5 Co-Authors 39 single-authored 14 Shcherbina, Mariya 10 Kirsch, Werner 10 Marchenko, Vladimir Aleksandrovich 10 Molchanov, Stanislav Alekseevich 9 Khruslov, Eugene Yakovlevich 8 Tkachenko, Vadim Aleksandrovich 7 Figotin, A. L. 7 Lytova, Anna 6 Khorunzhy, Alexei M. 6 Khoruzhenko, Boris A. 5 Berezans’kyĭ, Yuriĭ Makarovych 5 Marchenko, Andrew V. 4 Rofe-Beketov, Fedor Semenovich 3 Benderskiĭ, M. M. 3 Bentosela, François 3 Boutet de Monvel, Anne Marie 3 Briet, Philippe 3 Faddeev, Lyudvig Dmitrievich 3 Gredeskul, Sergey A. 3 Lebowitz, Joel Louis 3 Mytropol’skyĭ, Yuriĭ Oleksiĭovych 3 Novikov, Sergeĭ Petrovich 3 Vasilchuk, Vladimir 2 Albeverio, Sergio A. 2 Babich, Vasiliĭ Mikhaĭlovich 2 Bogachev, Leonid V. 2 Bratus, Ekaterina 2 Buslaev, Vladimir Savel’evich 2 Chistyakov, Gennadiy P. 2 Gandel’, Yuriy Vladimirovich 2 Gol’dberg, Anatoliĭ Asirowitsch 2 Gol’dshejd, I. Ya. 2 Gorbachuk, Myroslav L’vovych 2 Hachem, Walid 2 Kosevich, Arnold M. 2 Lenoble, Olivier 2 Lukovsky, Ivan Oleksandrovych 2 Marchenko, V. O. 2 Maslov, Viktor Pavlovich 2 Ostrovskiĭ, Iosif Vladimirovich 2 Pajor, Alain 2 Plamenevskiĭ, Boris Alekseevich 2 Rezunenko, Oleksandr V”yacheslavovych 2 Schulte, Ruth 2 Shepelsky, Dmitry 2 Sinaĭ, Yakov Grigor’evich 2 Sklyar, Grigory Mikhailovitch 2 Suslina, Tat’yana Aleksandrovna 2 Tirozzi, Brunello 2 Ural’tseva, Nina Nikolaevna 2 Vaĭnberg, Boris Rufimovich 1 Agranovich, Polina Zalmanovna 1 Aizenman, A. 1 Aliev, Araz R. 1 Antonyuk, Oleksandra Viktorivna 1 Aslanov, Gamidulla I. 1 Azarin, V. A. 1 Baake, Michael 1 Boĭchuk, Oleksandr Andriĭovych 1 Borisenko, Aleksandr Andreevich 1 Chu Valeriĭko, S. M. 1 Cranston, Michael Craig 1 Favorov, Sergeĭ Yur’evich 1 Fel’dman, Gennadiĭ Mikhaĭlovich 1 Figotin, Alexander 1 Fonf, Vladimir P. 1 Freidlin, Mark I. 1 Fryntov, A. E. 1 Gadjiev, Akif Djafar oglu 1 Gindikin, Simon Grigorevich 1 Goldsheid, Ilya Ya. 1 Guédon, Olivier 1 Gurarii, V. P. 1 Guseinov, R. V. 1 Khavin, Viktor Petrovich 1 Hunter, John K. 1 Huseynov, Hidayat Mahammad 1 Hutlyans’kyi, V. Ya. 1 Ignatovich, Svetlana Yu. 1 Il’inskii, A. I. 1 Its, Alexander Rudolfovich 1 Jacšić, V. 1 Jakšić, Vojkan 1 Jitomirskaya, Svetlana Yakovlevna 1 Khorunzhiy, Oleksiy 1 Khurslov, E. Ya 1 Kislyakov, Sergeĭ Vital’evich 1 Klein, Abel 1 Klopp, Frédéric 1 Kochubeĭ, Anatoliĭ Naumovych 1 Konakov, V. D. 1 Korobov, Valeriĭ Ivanovych 1 Korolyuk, Volodymyr Semenovych 1 Krive, Ilya V. 1 Kushnir, Roman M. 1 Laptev, Ari 1 Lejay, Antoine 1 Leschke, Hajo 1 Loubaton, Philippe 1 Lyubarskii, Yurii I. ...and 47 more Co-Authors all top 5 Serials 11 Communications in Mathematical Physics 11 Journal of Statistical Physics 11 Russian Mathematical Surveys 7 Journal of Mathematical Physics 5 Journal of Physics A: Mathematical and General 5 Matematicheskaya Fizika, Analiz, Geometriya 4 Functional Analysis and its Applications 3 Mathematical Notes 3 Matematicheskie Zametki 3 St. Petersburg Mathematical Journal 3 Journal of Mathematical Physics, Analysis, Geometry 2 Teoreticheskaya i Matematicheskaya Fizika 2 Theoretical and Mathematical Physics 2 Ukraïns’kyĭ Matematychnyĭ Zhurnal 2 Uspekhi Matematicheskikh Nauk [N. S.] 2 Funktsional’nyĭ Analiz i ego Prilozheniya 2 Journal of Soviet Mathematics 2 Matematicheskiĭ Sbornik. Novaya Seriya 2 Mathematics of the USSR, Sbornik 2 Markov Processes and Related Fields 2 Visnyk Kharkivs’kogo Universytetu. Seriya Matematyka, Prykladna Matematyka i Mekhanika 1 IEEE Transactions on Information Theory 1 Letters in Mathematical Physics 1 Metrika 1 Physics Letters. A 1 Physics Reports 1 Soviet Scientific Reviews. Section C 1 Studia Mathematica 1 Ukrainian Mathematical Journal 1 Reviews in Mathematical Physics 1 The Annals of Probability 1 Journal of Approximation Theory 1 Mathematics of the USSR. Izvestiya 1 Soviet Mathematics. Doklady 1 Transactions of the Moscow Mathematical Society 1 Selecta Mathematica Sovietica 1 Annals of Physics 1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Annales de l’Institut Henri Poincaré. Physique Théorique 1 Teoriya Funktsiĭ, Funktsional’nyĭ Analiz i ikh Prilozheniya 1 Journées Équations aux Dérivées Partielles (Saint-Jean-de-Monts) 1 Itogi Nauki i Tekhniki. Seriya Teoriya Veroyatnosteĭ. Matematicheskaya Statistika. Teoreticheskaya Kibernetika 1 Sbornik: Mathematics 1 Proceedings of Institute of Mathematics and Mechanics. National Academy of Sciences of Azerbaijan 1 Oberwolfach Reports 1 Zhurnal Prikladnoĭ Mekhaniki i Tekhnicheskoĭ Fiziki 1 Grundlehren der Mathematischen Wissenschaften 1 Mathematical Surveys and Monographs 1 Journal of Physics A: Mathematical and Theoretical 1 Pure and Applied Functional Analysis 1 Translations. Series 2. American Mathematical Society all top 5 Fields 68 Probability theory and stochastic processes (60-XX) 51 Statistical mechanics, structure of matter (82-XX) 38 Linear and multilinear algebra; matrix theory (15-XX) 30 Quantum theory (81-XX) 29 Operator theory (47-XX) 23 Ordinary differential equations (34-XX) 23 Partial differential equations (35-XX) 15 History and biography (01-XX) 5 Difference and functional equations (39-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 Special functions (33-XX) 3 General and overarching topics; collections (00-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Statistics (62-XX) 2 Numerical analysis (65-XX) 2 Mechanics of deformable solids (74-XX) 2 Biology and other natural sciences (92-XX) 2 Information and communication theory, circuits (94-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 93 Publications have been cited 1,949 times in 1,401 Documents Cited by ▼ Year ▼ Spectra of random and almost-periodic operators. Zbl 0752.47002Pastur, Leonid; Figotin, Alexander 275 1992 Distribution of eigenvalues for some sets of random matrices. Zbl 0162.22501Marchenko, V. A.; Pastur, L. A. 228 1968 Eigenvalue distribution of large random matrices. Zbl 1244.15002Pastur, Leonid; Shcherbina, Mariya 121 2011 Distribution of eigenvalues in certain sets of random matrices. (Verteilung der Eigenwerte in gewissen Ensembles von Zufallsmatrizen.) Zbl 0152.16101Marchenko, V. A.; Pastur, L. A. 116 1967 A pure point spectrum of the stochastic one-dimensional Schrödinger operator. Zbl 0368.34015Gol’dshejd, I. Ya.; Molchanov, S. A.; Pastur, L. A. 109 1977 Spectral properties of disordered systems in the one-body approximation. Zbl 0429.60099Pastur, L. A. 100 1980 Central limit theorem for linear eigenvalue statistics of random matrices with independent entries. Zbl 1180.15029Lytova, A.; Pastur, L. 86 2009 Spectra of random self adjoint operators. Zbl 0277.60049Pastur, L. A. 71 1973 Asymptotic properties of large random matrices with independent entries. Zbl 0866.15014Khorunzhy, Alexei M.; Khoruzhenko, Boris A.; Pastur, Leonid A. 66 1996 On the statistical mechanics approach in the random matrix theory: Integrated density of states. Zbl 1081.82569Boutet de Monvel, A.; Pastur, L.; Shcherbina, M. 58 1995 Universality of the local eigenvalue statistics for a class of unitary invariant random matrix ensembles. Zbl 0916.15009Pastur, L.; Shcherbina, M. 58 1997 On the \(1/n\) expansion for some unitary invariant ensembles of random matrices. Zbl 1038.82039Albeverio, S.; Pastur, L.; Shcherbina, M. 38 2001 Bulk universality and related properties of Hermitian matrix models. Zbl 1136.15015Pastur, L.; Shcherbina, M. 36 2008 Limiting laws of linear eigenvalue statistics for Hermitian matrix models. Zbl 1112.82022Pastur, L. 30 2006 On the law of addition of random matrices. Zbl 1039.82020Pastur, L.; Vasilchuk, V. 27 2000 An exactly solvable model of a multidimensional incommensurate structure. Zbl 0582.35101Figotin, A. L.; Pastur, L. A. 23 1984 The replica-symmetric solution without replica trick for the Hopfield model. Zbl 0835.60092Pastur, L.; Shcherbina, M.; Tirozzi, B. 22 1994 On the limiting empirical measure of eigenvalues of the sum of rank one matrices with log-concave distribution. Zbl 1178.15023Pajor, A.; Pastur, L. 20 2009 Behaviour of some Wiener integrals for \(t\rightarrow\infty\) and the density of states of the Schrödinger equation with random potential. Zbl 0353.60053Pastur, L. A. 20 1977 Limiting eigenvalue distribution for band random matrices. Zbl 0794.15011Molchanov, S. A.; Pastur, L. A.; Khorunzhij, A. M. 19 1992 One-dimensional Schrödinger operator with unbounded potential: The pure point spectrum. Zbl 0747.47023Kirsch, W.; Molchanov, S. A.; Pastur, L. A. 16 1990 On the density of the states of band random matrices. Zbl 0762.60015Bogachev, L. V.; Molchanov, S. A.; Pastur, L. A. 16 1991 On the eigenvalue distribution of the deformed Wigner ensemble of random matrices. Zbl 0813.60036Khorunzhy, A. M.; Pastur, L. A. 16 1994 On the spectrum of the one-dimensional Schrödinger equation with a random potential. Zbl 0216.37301Benderskij, M. M.; Pastur, L. A. 15 1971 A simple approach to the global regime of Gaussian ensembles of random matrices. Zbl 1102.82015Pastur, L. A. 15 2005 Spectral and probabilistic aspects of matrix models. Zbl 0844.15009Pastur, L. A. 14 1996 Lifshitz tails for random Schrödinger operators with negative singular Poisson potential. Zbl 0937.60098Klopp, Frédéric; Pastur, Leonid 12 1999 On the \(1/N\) corrections to the Green functions of random matrices with independent entries. Zbl 0855.15016Khorunzhy, A.; Khoruzhenko, B.; Pastur, L. 12 1995 On the edge universality of the local eigenvalue statistics of matrix models. Zbl 1064.60011Pastur, L.; Shcherbina, M. 12 2003 A new approach for mutual information analysis of large dimensional multi-antenna channels. Zbl 1322.94003Hachem, Walid; Khorunzhiy, Oleksiy; Loubaton, Philippe; Najim, Jamal; Pastur, Leonid 12 2008 Limits of infinite interaction radius, dimensionality and the number of components for random operators with off-diagonal randomness. Zbl 0772.60046Khorunzhy, A. M.; Pastur, L. A. 11 1993 The positivity of the Lyapunov exponent and the absence of the absolutely continuous spectrum for the almost-Mathieu equation. Zbl 0555.39002Figotin, A. L.; Pastur, L. A. 11 1984 Spectral theory of Schrödinger operators with periodic complex-valued potentials. Zbl 0717.34096Pastur, L. A.; Tkachenko, V. A. 11 1988 On the distribution of the eigenvalues of the Schrödinger equation with a random potential. Zbl 0252.35051Pastur, L. A. 11 1972 On the level density of random band matrices. Zbl 0778.60008Bogachev, L. V.; Molchanov, S. A.; Pastur, L. A. 10 1991 On the replica symmetric equations for the Hopfield model. Zbl 0988.82024Pastur, L.; Shcherbina, M.; Tirozzi, B. 9 1999 The localization of surface states: an exactly solvable model. Zbl 1001.82526Khoruzhenko, Boris A.; Pastur, Leonid A. 9 1997 Fluctuations of matrix elements of regular functions of Gaussian random matrices. Zbl 1161.60007Lytova, A.; Pastur, L. 9 2009 Large block properties of the entanglement entropy of free disordered fermions. Zbl 1361.82017Elgart, A.; Pastur, L.; Shcherbina, M. 9 2017 On the universality of the level spacing distribution for some ensembles of random matrices. Zbl 0758.15017Pastur, L. A. 8 1992 On the spectral theory of the one-dimensional Schrödinger operator with a limit-periodic potential. Zbl 0596.34010Pastur, L. A.; Tkachenko, V. A. 8 1984 Spectral theory of a class of one-dimensional Schrödinger operators with limit-periodic potentials. Zbl 0709.34064Pastur, L. A.; Tkachenko, V. A. 8 1989 One dimensional Schrödinger operators with high potential barriers. Zbl 0883.34078Kirsch, W.; Molchanov, S. A.; Pastur, L. A. 8 1992 On completeness of random exponentials in the Bargmann-Fock space. Zbl 1009.42005Chistyakov, G.; Lyubarskii, Yu.; Pastur, L. 7 2001 An inverse problem for a class of one-dimensional Schrödinger operators with a complex periodic potential. Zbl 0739.34022Pastur, L. A.; Tkachenko, V. A. 7 1990 Ergodic properties of the distribution of the eigen-values for some classes of stochastic self-adjoint operators. Zbl 0433.35072Pastur, L. A.; Figotin, A. L. 7 1978 On the propagation properties of surface waves. Zbl 0905.65107Jakšić, V.; Molchanov, S.; Pastur, L. 7 1998 On the moments of traces of matrices of classical groups. Zbl 1102.60001Pastur, L.; Vasilchuk, V. 7 2004 On the analogues of Szegő’s theorem for ergodic operators. Zbl 1312.47051Kirsch, W.; Pastur, L. A. 7 2015 Behavior of some Wiener integrals as \(t\to\infty\) and the density of states of Schrödinger equations with random potential. Zbl 0413.60055Pastur, L. A. 6 1978 Spectral theory of self-adjoint random operators. Zbl 0661.60079Pastur, L. A. 6 1987 Geometry of the spectrum of the one-dimensional Schrödinger equation with a periodic complex-valued potential. Zbl 0781.34054Pastur, L. A.; Tkachenko, V. A. 6 1991 On the spectral and wave propagation properties of the surface Maryland model. Zbl 1061.81026Bentosela, F.; Briet, Ph.; Pastur, L. 6 2003 On the Mott formula for the ac conductivity and binary correlators in the strong localization regime of disordered systems. Zbl 1106.82370Kirsch, W.; Lenoble, O.; Pastur, L. 6 2003 On asymptotic properties of certain orthogonal polynomials. Zbl 0897.33007Albeverio, S.; Pastur, L.; Shcherbina, M. 5 1997 From random matrices to quasi-periodic Jacobi matrices via orthogonal polynomials. Zbl 1118.15023Pastur, L. 5 2006 A class of the multi-interval eigenvalue distributions of matrix models and related structures. Zbl 1041.81024Buslaev, V.; Pastur, L. 5 2002 Condensation in a disordered infinite-range hopping Bose-Hubbard model. Zbl 1117.82010Dorlas, T. C.; Pastur, L. A.; Zagrebnov, V. A. 5 2006 How much delocalisation is needed for an enhanced area law of the entanglement entropy? Zbl 1439.81023Müller, Peter; Pastur, Leonid; Schulte, Ruth 5 2020 Central limit theorem for linear eigenvalue statistics of the Wigner and the sample covariance random matrices. Zbl 1433.60015Lytova, Anna; Pastur, Leonid 4 2009 The absence of the selfaveraging property of the entanglement entropy of disordered free fermions in one dimension. Zbl 1390.82017Pastur, L.; Slavin, V. 4 2018 An inverse problem for a class of one-dimensional Schrödinger operators with complex periodic potential. Zbl 0718.34015Pastur, L. A.; Tkachenko, V. A. 4 1990 Examples of multidimensional, almost periodic operators, whose point and continuous spectra intersect. Zbl 0723.47001Pastur, L. A.; Figotin, A. L. 4 1990 On the law of addition of random matrices: covariance and the central limit theorem for traces of resolvent. Zbl 1132.15021Pastur, L.; Vasilchuk, V. 3 2007 Über die Schrödingergleichung mit zufälligem Potential. Zbl 0208.12903Pastur, L. A. 3 1971 The interband light absorption coefficient in the weak disorder regime: An asymptotically exactly solvable model. Zbl 0836.60115Khoruzhenko, B. A.; Kirsch, W.; Pastur, L. A. 3 1994 The large-time asymptotics of some Wiener integrals and the interband light absorption coefficient in the deep fluctuation spectrum. Zbl 0727.60121Kirsch, W.; Pastur, L. A. 3 1990 A random matrix model of relaxation. Zbl 1138.82353Lebowitz, J. L.; Pastur, L. 3 2004 Spektren zufälliger selbstadjungierter Operatoren. Zbl 0268.60034Pastur, L. A. 3 1973 Asymptotics of the interband light absorption coefficient near the band edge for an alloy-type model. Zbl 1079.82536Kirsch, W.; Pastur, L. A.; Stork, H. 2 1998 Random matrices: asymptotic eigenvalue statistics. (Matrices aléatoires: Statistique asymptotique des valeurs propres.) Zbl 1175.15029Pastur, Leonid; Lejay, Antoine 2 2003 Eigenvalue distribution of random matrices: Some recent results. Zbl 0853.15021Pastur, L. 2 1996 The central limit theorem for linear eigenvalue statistics of the sum of independent random matrices of rank one. Zbl 1323.60015Guédon, Olivier; Lytova, Anna; Pajor, Alain; Pastur, Leonid 2 2014 Schrödinger operator with a nonlocal potential whose absolutely continuous and point spectra coexist. Zbl 0713.35062Figotin, A. L.; Pastur, L. A. 2 1990 Random matrices as paradigm. Zbl 1017.82023Pastur, L. 2 2000 Quasi 1D localization: deterministic and random potentials. Zbl 1213.82048Kirsch, W.; Molchanov, S.; Pastur, L.; Vainberg, B. 2 2003 On asymptotic behavior of multilinear eigenvalue statistics of random matrices. Zbl 1161.82010Lytova, A.; Pastur, L. 2 2008 Szegö-type theorems for one-dimensional Schrödinger operator with random potential (smooth case). Zbl 07116935Pastur, L.; Shcherbina, M. 2 2018 Preface. Zbl 1320.01035Khruslov, E.; Pastur, L.; Shepelsky, D. 1 2014 On a limiting distribution of singular values of random band matrices. Zbl 1360.60020Lytova, A.; Pastur, L. 1 2015 Examples of random Schrödinger-type operators with non-Poissonian spectra. Zbl 1336.60129Molchanov, S.; Pastur, L.; Ray, E. 1 2015 Eigenvalue distribution for a certain class of random matrices in the limit of their infinite order. Zbl 0839.15019Pastur, L. A.; Shcherbina, M. V. 1 1994 Surveys in Applied Mathematics. Vol. 2. Zbl 0834.00017 1 1995 On the spectral theory of Schrödinger operators with periodic complex- valued potentials. Zbl 0658.34016Pastur, L. A.; Tkachenko, V. A. 1 1988 Spectral theory of random self-adjoint operators. Zbl 0684.60051Pastur, L. A. 1 1989 Ergodic properties of the distribution of the eigenvalues of certain classes of random self-adjoint operators. Zbl 0544.35091Pastur, L. A.; Figotin, A. L. 1 1984 Spectral analysis of the generalized surface Maryland model. Zbl 1093.82009Bentosela, F.; Briet, Ph.; Pastur, L. 1 2005 Statistical physics and spectral theory of disordered systems: Some recent developments. Zbl 0947.82506Pastur, L. A. 1 1992 Polarization of a vacuum by a stochastic field and phase transitions in relativistic systems. Zbl 0875.53037Krive, I. V.; Pastur, L. A.; Rozhavski, A. S. 1 1989 On connections between the theory of random operators and the theory of random matrices. Zbl 1238.15019Pastur, L. 1 2012 Mikhail Shlemovich Birman (obituary). Zbl 1219.01025Babich, V. M.; Buslaev, V. S.; Vershik, A. M.; Gindikin, S. G.; Kislyakov, S. V.; Laptev, A.; Marchenko, V. A.; Nikol’skii, N. K.; Pastur, L. A.; Plamenevskii, B. A.; Solomyak, M. Z.; Suslina, T. A.; Ural’tseva, N. N.; Faddeev, L. D.; Khavin, V. P.; Yafaev, D. R. 1 2010 O a random matrix model of quantum relaxation. Zbl 1141.82008Lebowitz, J. L.; Lytova, A.; Pastur, L. 1 2007 On random matrices arising in deep neural networks: Gaussian case. Zbl 1467.15032Pastur, Leonid 1 2020 How much delocalisation is needed for an enhanced area law of the entanglement entropy? Zbl 1439.81023Müller, Peter; Pastur, Leonid; Schulte, Ruth 5 2020 On random matrices arising in deep neural networks: Gaussian case. Zbl 1467.15032Pastur, Leonid 1 2020 The absence of the selfaveraging property of the entanglement entropy of disordered free fermions in one dimension. Zbl 1390.82017Pastur, L.; Slavin, V. 4 2018 Szegö-type theorems for one-dimensional Schrödinger operator with random potential (smooth case). Zbl 07116935Pastur, L.; Shcherbina, M. 2 2018 Large block properties of the entanglement entropy of free disordered fermions. Zbl 1361.82017Elgart, A.; Pastur, L.; Shcherbina, M. 9 2017 On the analogues of Szegő’s theorem for ergodic operators. Zbl 1312.47051Kirsch, W.; Pastur, L. A. 7 2015 On a limiting distribution of singular values of random band matrices. Zbl 1360.60020Lytova, A.; Pastur, L. 1 2015 Examples of random Schrödinger-type operators with non-Poissonian spectra. Zbl 1336.60129Molchanov, S.; Pastur, L.; Ray, E. 1 2015 The central limit theorem for linear eigenvalue statistics of the sum of independent random matrices of rank one. Zbl 1323.60015Guédon, Olivier; Lytova, Anna; Pajor, Alain; Pastur, Leonid 2 2014 Preface. Zbl 1320.01035Khruslov, E.; Pastur, L.; Shepelsky, D. 1 2014 On connections between the theory of random operators and the theory of random matrices. Zbl 1238.15019Pastur, L. 1 2012 Eigenvalue distribution of large random matrices. Zbl 1244.15002Pastur, Leonid; Shcherbina, Mariya 121 2011 Mikhail Shlemovich Birman (obituary). Zbl 1219.01025Babich, V. M.; Buslaev, V. S.; Vershik, A. M.; Gindikin, S. G.; Kislyakov, S. V.; Laptev, A.; Marchenko, V. A.; Nikol’skii, N. K.; Pastur, L. A.; Plamenevskii, B. A.; Solomyak, M. Z.; Suslina, T. A.; Ural’tseva, N. N.; Faddeev, L. D.; Khavin, V. P.; Yafaev, D. R. 1 2010 Central limit theorem for linear eigenvalue statistics of random matrices with independent entries. Zbl 1180.15029Lytova, A.; Pastur, L. 86 2009 On the limiting empirical measure of eigenvalues of the sum of rank one matrices with log-concave distribution. Zbl 1178.15023Pajor, A.; Pastur, L. 20 2009 Fluctuations of matrix elements of regular functions of Gaussian random matrices. Zbl 1161.60007Lytova, A.; Pastur, L. 9 2009 Central limit theorem for linear eigenvalue statistics of the Wigner and the sample covariance random matrices. Zbl 1433.60015Lytova, Anna; Pastur, Leonid 4 2009 Bulk universality and related properties of Hermitian matrix models. Zbl 1136.15015Pastur, L.; Shcherbina, M. 36 2008 A new approach for mutual information analysis of large dimensional multi-antenna channels. Zbl 1322.94003Hachem, Walid; Khorunzhiy, Oleksiy; Loubaton, Philippe; Najim, Jamal; Pastur, Leonid 12 2008 On asymptotic behavior of multilinear eigenvalue statistics of random matrices. Zbl 1161.82010Lytova, A.; Pastur, L. 2 2008 On the law of addition of random matrices: covariance and the central limit theorem for traces of resolvent. Zbl 1132.15021Pastur, L.; Vasilchuk, V. 3 2007 O a random matrix model of quantum relaxation. Zbl 1141.82008Lebowitz, J. L.; Lytova, A.; Pastur, L. 1 2007 Limiting laws of linear eigenvalue statistics for Hermitian matrix models. Zbl 1112.82022Pastur, L. 30 2006 From random matrices to quasi-periodic Jacobi matrices via orthogonal polynomials. Zbl 1118.15023Pastur, L. 5 2006 Condensation in a disordered infinite-range hopping Bose-Hubbard model. Zbl 1117.82010Dorlas, T. C.; Pastur, L. A.; Zagrebnov, V. A. 5 2006 A simple approach to the global regime of Gaussian ensembles of random matrices. Zbl 1102.82015Pastur, L. A. 15 2005 Spectral analysis of the generalized surface Maryland model. Zbl 1093.82009Bentosela, F.; Briet, Ph.; Pastur, L. 1 2005 On the moments of traces of matrices of classical groups. Zbl 1102.60001Pastur, L.; Vasilchuk, V. 7 2004 A random matrix model of relaxation. Zbl 1138.82353Lebowitz, J. L.; Pastur, L. 3 2004 On the edge universality of the local eigenvalue statistics of matrix models. Zbl 1064.60011Pastur, L.; Shcherbina, M. 12 2003 On the spectral and wave propagation properties of the surface Maryland model. Zbl 1061.81026Bentosela, F.; Briet, Ph.; Pastur, L. 6 2003 On the Mott formula for the ac conductivity and binary correlators in the strong localization regime of disordered systems. Zbl 1106.82370Kirsch, W.; Lenoble, O.; Pastur, L. 6 2003 Random matrices: asymptotic eigenvalue statistics. (Matrices aléatoires: Statistique asymptotique des valeurs propres.) Zbl 1175.15029Pastur, Leonid; Lejay, Antoine 2 2003 Quasi 1D localization: deterministic and random potentials. Zbl 1213.82048Kirsch, W.; Molchanov, S.; Pastur, L.; Vainberg, B. 2 2003 A class of the multi-interval eigenvalue distributions of matrix models and related structures. Zbl 1041.81024Buslaev, V.; Pastur, L. 5 2002 On the \(1/n\) expansion for some unitary invariant ensembles of random matrices. Zbl 1038.82039Albeverio, S.; Pastur, L.; Shcherbina, M. 38 2001 On completeness of random exponentials in the Bargmann-Fock space. Zbl 1009.42005Chistyakov, G.; Lyubarskii, Yu.; Pastur, L. 7 2001 On the law of addition of random matrices. Zbl 1039.82020Pastur, L.; Vasilchuk, V. 27 2000 Random matrices as paradigm. Zbl 1017.82023Pastur, L. 2 2000 Lifshitz tails for random Schrödinger operators with negative singular Poisson potential. Zbl 0937.60098Klopp, Frédéric; Pastur, Leonid 12 1999 On the replica symmetric equations for the Hopfield model. Zbl 0988.82024Pastur, L.; Shcherbina, M.; Tirozzi, B. 9 1999 On the propagation properties of surface waves. Zbl 0905.65107Jakšić, V.; Molchanov, S.; Pastur, L. 7 1998 Asymptotics of the interband light absorption coefficient near the band edge for an alloy-type model. Zbl 1079.82536Kirsch, W.; Pastur, L. A.; Stork, H. 2 1998 Universality of the local eigenvalue statistics for a class of unitary invariant random matrix ensembles. Zbl 0916.15009Pastur, L.; Shcherbina, M. 58 1997 The localization of surface states: an exactly solvable model. Zbl 1001.82526Khoruzhenko, Boris A.; Pastur, Leonid A. 9 1997 On asymptotic properties of certain orthogonal polynomials. Zbl 0897.33007Albeverio, S.; Pastur, L.; Shcherbina, M. 5 1997 Asymptotic properties of large random matrices with independent entries. Zbl 0866.15014Khorunzhy, Alexei M.; Khoruzhenko, Boris A.; Pastur, Leonid A. 66 1996 Spectral and probabilistic aspects of matrix models. Zbl 0844.15009Pastur, L. A. 14 1996 Eigenvalue distribution of random matrices: Some recent results. Zbl 0853.15021Pastur, L. 2 1996 On the statistical mechanics approach in the random matrix theory: Integrated density of states. Zbl 1081.82569Boutet de Monvel, A.; Pastur, L.; Shcherbina, M. 58 1995 On the \(1/N\) corrections to the Green functions of random matrices with independent entries. Zbl 0855.15016Khorunzhy, A.; Khoruzhenko, B.; Pastur, L. 12 1995 Surveys in Applied Mathematics. Vol. 2. Zbl 0834.00017 1 1995 The replica-symmetric solution without replica trick for the Hopfield model. Zbl 0835.60092Pastur, L.; Shcherbina, M.; Tirozzi, B. 22 1994 On the eigenvalue distribution of the deformed Wigner ensemble of random matrices. Zbl 0813.60036Khorunzhy, A. M.; Pastur, L. A. 16 1994 The interband light absorption coefficient in the weak disorder regime: An asymptotically exactly solvable model. Zbl 0836.60115Khoruzhenko, B. A.; Kirsch, W.; Pastur, L. A. 3 1994 Eigenvalue distribution for a certain class of random matrices in the limit of their infinite order. Zbl 0839.15019Pastur, L. A.; Shcherbina, M. V. 1 1994 Limits of infinite interaction radius, dimensionality and the number of components for random operators with off-diagonal randomness. Zbl 0772.60046Khorunzhy, A. M.; Pastur, L. A. 11 1993 Spectra of random and almost-periodic operators. Zbl 0752.47002Pastur, Leonid; Figotin, Alexander 275 1992 Limiting eigenvalue distribution for band random matrices. Zbl 0794.15011Molchanov, S. A.; Pastur, L. A.; Khorunzhij, A. M. 19 1992 On the universality of the level spacing distribution for some ensembles of random matrices. Zbl 0758.15017Pastur, L. A. 8 1992 One dimensional Schrödinger operators with high potential barriers. Zbl 0883.34078Kirsch, W.; Molchanov, S. A.; Pastur, L. A. 8 1992 Statistical physics and spectral theory of disordered systems: Some recent developments. Zbl 0947.82506Pastur, L. A. 1 1992 On the density of the states of band random matrices. Zbl 0762.60015Bogachev, L. V.; Molchanov, S. A.; Pastur, L. A. 16 1991 On the level density of random band matrices. Zbl 0778.60008Bogachev, L. V.; Molchanov, S. A.; Pastur, L. A. 10 1991 Geometry of the spectrum of the one-dimensional Schrödinger equation with a periodic complex-valued potential. Zbl 0781.34054Pastur, L. A.; Tkachenko, V. A. 6 1991 One-dimensional Schrödinger operator with unbounded potential: The pure point spectrum. Zbl 0747.47023Kirsch, W.; Molchanov, S. A.; Pastur, L. A. 16 1990 An inverse problem for a class of one-dimensional Schrödinger operators with a complex periodic potential. Zbl 0739.34022Pastur, L. A.; Tkachenko, V. A. 7 1990 An inverse problem for a class of one-dimensional Schrödinger operators with complex periodic potential. Zbl 0718.34015Pastur, L. A.; Tkachenko, V. A. 4 1990 Examples of multidimensional, almost periodic operators, whose point and continuous spectra intersect. Zbl 0723.47001Pastur, L. A.; Figotin, A. L. 4 1990 The large-time asymptotics of some Wiener integrals and the interband light absorption coefficient in the deep fluctuation spectrum. Zbl 0727.60121Kirsch, W.; Pastur, L. A. 3 1990 Schrödinger operator with a nonlocal potential whose absolutely continuous and point spectra coexist. Zbl 0713.35062Figotin, A. L.; Pastur, L. A. 2 1990 Spectral theory of a class of one-dimensional Schrödinger operators with limit-periodic potentials. Zbl 0709.34064Pastur, L. A.; Tkachenko, V. A. 8 1989 Spectral theory of random self-adjoint operators. Zbl 0684.60051Pastur, L. A. 1 1989 Polarization of a vacuum by a stochastic field and phase transitions in relativistic systems. Zbl 0875.53037Krive, I. V.; Pastur, L. A.; Rozhavski, A. S. 1 1989 Spectral theory of Schrödinger operators with periodic complex-valued potentials. Zbl 0717.34096Pastur, L. A.; Tkachenko, V. A. 11 1988 On the spectral theory of Schrödinger operators with periodic complex- valued potentials. Zbl 0658.34016Pastur, L. A.; Tkachenko, V. A. 1 1988 Spectral theory of self-adjoint random operators. Zbl 0661.60079Pastur, L. A. 6 1987 An exactly solvable model of a multidimensional incommensurate structure. Zbl 0582.35101Figotin, A. L.; Pastur, L. A. 23 1984 The positivity of the Lyapunov exponent and the absence of the absolutely continuous spectrum for the almost-Mathieu equation. Zbl 0555.39002Figotin, A. L.; Pastur, L. A. 11 1984 On the spectral theory of the one-dimensional Schrödinger operator with a limit-periodic potential. Zbl 0596.34010Pastur, L. A.; Tkachenko, V. A. 8 1984 Ergodic properties of the distribution of the eigenvalues of certain classes of random self-adjoint operators. Zbl 0544.35091Pastur, L. A.; Figotin, A. L. 1 1984 Spectral properties of disordered systems in the one-body approximation. Zbl 0429.60099Pastur, L. A. 100 1980 Ergodic properties of the distribution of the eigen-values for some classes of stochastic self-adjoint operators. Zbl 0433.35072Pastur, L. A.; Figotin, A. L. 7 1978 Behavior of some Wiener integrals as \(t\to\infty\) and the density of states of Schrödinger equations with random potential. Zbl 0413.60055Pastur, L. A. 6 1978 A pure point spectrum of the stochastic one-dimensional Schrödinger operator. Zbl 0368.34015Gol’dshejd, I. Ya.; Molchanov, S. A.; Pastur, L. A. 109 1977 Behaviour of some Wiener integrals for \(t\rightarrow\infty\) and the density of states of the Schrödinger equation with random potential. Zbl 0353.60053Pastur, L. A. 20 1977 Spectra of random self adjoint operators. Zbl 0277.60049Pastur, L. A. 71 1973 Spektren zufälliger selbstadjungierter Operatoren. Zbl 0268.60034Pastur, L. A. 3 1973 On the distribution of the eigenvalues of the Schrödinger equation with a random potential. Zbl 0252.35051Pastur, L. A. 11 1972 On the spectrum of the one-dimensional Schrödinger equation with a random potential. Zbl 0216.37301Benderskij, M. M.; Pastur, L. A. 15 1971 Über die Schrödingergleichung mit zufälligem Potential. Zbl 0208.12903Pastur, L. A. 3 1971 Distribution of eigenvalues for some sets of random matrices. Zbl 0162.22501Marchenko, V. A.; Pastur, L. A. 228 1968 Distribution of eigenvalues in certain sets of random matrices. (Verteilung der Eigenwerte in gewissen Ensembles von Zufallsmatrizen.) Zbl 0152.16101Marchenko, V. A.; Pastur, L. A. 116 1967 all cited Publications top 5 cited Publications all top 5 Cited by 1,346 Authors 35 Pastur, Leonid Andreevich 34 Erdős, László 29 Kirsch, Werner 28 Simon, Barry 25 Klopp, Frédéric 23 Klein, Abel 22 Bai, Zhi-Dong 21 Forrester, Peter J. 21 Shcherbina, Mariya 19 Damanik, David 19 Molchanov, Stanislav Alekseevich 19 Yau, Horng-Tzer 17 Guionnet, Alice 16 Stolz, Gunter 15 Götze, Friedrich 15 Pan, Guangming 15 Schnelli, Kevin 15 Warzel, Simone 15 Yao, Jianfeng 14 Lee, Ji Oon 14 Veselić, Ivan 13 Gesztesy, Fritz 13 Soshnikov, Alexander B. 13 Tikhomirov, Alexander Nikolaevich 13 Yin, Jun 12 Jitomirskaya, Svetlana Yakovlevna 12 Müller, Peter 10 Bao, Zhigang 10 Couillet, Romain 10 El Karoui, Noureddine 10 Germinet, François 10 Krüger, Torben 10 Lenz, Daniel H. 10 Shcherbina, Tatyana 9 Aizenman, Michael 9 Chulaevsky, Victor 9 Fillman, Jake 9 Karpeshina, Yulia E. 9 Knowles, Antti 9 Lubinsky, Doron S. 9 Schulz-Baldes, Hermann 9 Zhou, Wang 8 Benaych-Georges, Florent 8 Boutet de Monvel, Anne Marie 8 Girko, Vyacheslav Leonidovich 8 Hachem, Walid 8 Hislop, Peter D. 8 Loubaton, Philippe 8 Najar, Hatem 8 O’Rourke, Sean D. 8 Péché, Sandrine 8 Sadel, Christian 8 Zheng, Shurong 7 Baik, Jinho 7 Barra, Adriano 7 Breuer, Jonathan 7 Fyodorov, Yan V. 7 Jiang, Tiefeng 7 Johnson, Russell Allan 7 Kriecherbauer, Thomas 7 Lambert, Gaultier 7 Martinelli, Fabio 7 Najim, Jamal 7 Raikov, Georgi D. 7 Silverstein, Jack W. 7 Ueki, Naomasa 7 Vu, Van H. 6 Agliari, Elena 6 Bentosela, François 6 Bourgade, Paul 6 Gordon, Alexander Ya. 6 He, Yukun 6 Khoruzhenko, Boris A. 6 Ledoit, Olivier 6 Leschke, Hajo 6 Liu, Dangzheng 6 McLaughlin, Kenneth D. T.-R. 6 Mezzadri, Francesco 6 Renfrew, David 6 Schenker, Jeffrey H. 6 Shterenberg, Roman G. 6 Sims, Robert L. 6 Sodin, Sasha 6 Spencer, Thomas C. 6 Tirozzi, Brunello 6 Yuditskii, Peter Meerovich 5 Adamczak, Radosław 5 Ajanki, Oskari Heikki 5 Bodnar, Taras 5 Bovier, Anton 5 Briet, Philippe 5 Capitaine, Mireille 5 Chen, Yang 5 Claeys, Tom 5 Collins, Benoît 5 Combes, Jean-Michel 5 Duits, Maurice 5 Dumitriu, Ioana 5 Fröhlich, Jürg Martin 5 Gorin, Vadim ...and 1,246 more Authors all top 5 Cited in 233 Serials 147 Communications in Mathematical Physics 112 Journal of Statistical Physics 79 Journal of Mathematical Physics 48 Journal of Functional Analysis 47 Probability Theory and Related Fields 40 The Annals of Statistics 39 The Annals of Probability 39 Random Matrices: Theory and Applications 36 Journal of Multivariate Analysis 27 Annales Henri Poincaré 25 Journal of Theoretical Probability 22 Advances in Mathematics 19 The Annals of Applied Probability 17 Letters in Mathematical Physics 17 Journal of Statistical Mechanics: Theory and Experiment 16 Reviews in Mathematical Physics 16 Annales de l’Institut Henri Poincaré. 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Series A: Theory and Methods 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Quarterly of Applied Mathematics ...and 133 more Serials all top 5 Cited in 57 Fields 722 Probability theory and stochastic processes (60-XX) 432 Linear and multilinear algebra; matrix theory (15-XX) 400 Statistical mechanics, structure of matter (82-XX) 259 Operator theory (47-XX) 238 Quantum theory (81-XX) 208 Statistics (62-XX) 180 Partial differential equations (35-XX) 115 Ordinary differential equations (34-XX) 72 Functional analysis (46-XX) 68 Dynamical systems and ergodic theory (37-XX) 57 Combinatorics (05-XX) 56 Harmonic analysis on Euclidean spaces (42-XX) 48 Special functions (33-XX) 34 Difference and functional equations (39-XX) 28 Numerical analysis (65-XX) 23 Information and communication theory, circuits (94-XX) 22 Functions of a complex variable (30-XX) 22 Operations research, mathematical programming (90-XX) 21 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 19 Global analysis, analysis on manifolds (58-XX) 17 Approximations and expansions (41-XX) 16 Computer science (68-XX) 14 Biology and other natural sciences (92-XX) 11 Algebraic geometry (14-XX) 10 Number theory (11-XX) 10 Potential theory (31-XX) 9 Measure and integration (28-XX) 8 Optics, electromagnetic theory (78-XX) 7 History and biography (01-XX) 7 Real functions (26-XX) 7 Convex and discrete geometry (52-XX) 6 Group theory and generalizations (20-XX) 6 Fluid mechanics (76-XX) 5 Integral transforms, operational calculus (44-XX) 5 Mechanics of deformable solids (74-XX) 4 Topological groups, Lie groups (22-XX) 4 Integral equations (45-XX) 4 Mechanics of particles and systems (70-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Systems theory; control (93-XX) 2 General and overarching topics; collections (00-XX) 2 Associative rings and algebras (16-XX) 2 Nonassociative rings and algebras (17-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Geometry (51-XX) 2 Differential geometry (53-XX) 2 General topology (54-XX) 2 Manifolds and cell complexes (57-XX) 2 Relativity and gravitational theory (83-XX) 2 Geophysics (86-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 \(K\)-theory (19-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year