Edit Profile Pastur, Leonid Andreevich Compute Distance To: Compute Author ID: pastur.leonid-andreevich Published as: Pastur, L.; Pastur, L. A.; Pastur, Leonid; Pastur, Leonid A. Documents Indexed: 149 Publications since 1963, including 4 Books Biographic References: 5 Publications all top 5 Co-Authors 25 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. 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 Novikov, Sergeĭ Petrovich 2 Albeverio, Sergio A. 2 Babich, Vasiliĭ Mikhaĭlovich 2 Bogachev, Leonid V. 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 Lytova, Anna 2 Marchenko, V. O. 2 Maslov, Viktor Pavlovich 2 Mytropol’skyĭ, Yuriĭ Oleksiĭovych 2 Ostrovskiĭ, Iosif Vladimirovich 2 Pajor, Alain 2 Plamenevskiĭ, Boris Alekseevich 2 Rezunenko, Oleksandr V”yacheslavovych 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 1 Agranovich, Polina Zalmanovna 1 Aliev, Araz R. 1 Antonyuk, Oleksandra Viktorivna 1 Aslanov, Gamidulla I. 1 Azarin, V. A. 1 Baake, Michael 1 Bayramoğlu, Mehmet 1 Boĭchuk, Oleksandr Andriĭovych 1 Borisenko, Aleksandr Andreevich 1 Chu Valeriĭko, S. M. 1 Dorlas, Tony C. 1 Elgart, Alexander 1 Favorov, Sergei Yur’evich 1 Fedotov, Andrey A. 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 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 Jakšić, Vojkan 1 Khorunzhiy, Oleksiy 1 Khurslov, E. Ya 1 Kislyakov, Sergeĭ Vital’evich 1 Klopp, Frédéric 1 Kochubeĭ, Anatoliĭ Naumovych 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. 1 Lyubich, Yuriĭ Il’ich 1 Makarov, Volodymyr Leonidovich 1 Mardanov, Misir Dzhumail ogly 1 Maslov, Klavdii V. 1 Mirzoev, Sabir Sultanaga 1 Moustakas, Aris L. 1 Müller, Peter 1 Mytropois’kyj, Yu. O. ...and 43 more Co-Authors all top 5 Serials 10 Russian Mathematical Surveys 8 Communications in Mathematical Physics 8 Journal of Statistical Physics 6 Journal of Mathematical Physics 4 Functional Analysis and its Applications 4 Journal of Physics A: Mathematical and General 4 Matematicheskaya Fizika, Analiz, Geometriya 3 Mathematical Notes 3 Matematicheskie Zametki 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 Reports 1 Soviet Scientific Reviews. Section C 1 Studia Mathematica 1 Ukrainian Mathematical Journal 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 Teoriya Funktsiĭ, Funktsional’nyĭ Analiz i ikh Prilozheniya 1 Itogi Nauki i Tekhniki. Seriya Teoriya Veroyatnosteĭ. Matematicheskaya Statistika. Teoreticheskaya Kibernetika 1 St. Petersburg Mathematical Journal 1 Sbornik: Mathematics 1 Proceedings of Institute of Mathematics and Mechanics. National Academy of Sciences of Azerbaijan 1 Oberwolfach Reports 1 Journal of Mathematical Physics, Analysis, Geometry 1 Zhurnal Prikladnoĭ Mekhaniki i Tekhnicheskoĭ Fiziki 1 Grundlehren der Mathematischen Wissenschaften 1 Mathematical Surveys and Monographs 1 Translations. Series 2. American Mathematical Society all top 5 Fields 52 Probability theory and stochastic processes (60-XX) 34 Statistical mechanics, structure of matter (82-XX) 25 Operator theory (47-XX) 25 Quantum theory (81-XX) 23 Ordinary differential equations (34-XX) 22 Linear and multilinear algebra; matrix theory (15-XX) 19 Partial differential equations (35-XX) 14 History and biography (01-XX) 5 Difference and functional equations (39-XX) 4 Special functions (33-XX) 3 General and overarching topics; collections (00-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Information and communication theory, circuits (94-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 90 Publications have been cited 1,779 times in 1,257 Documents Cited by ▼ Year ▼ Spectra of random and almost-periodic operators. Zbl 0752.47002Pastur, Leonid; Figotin, Alexander 261 1992 Distribution of eigenvalues for some sets of random matrices. Zbl 0162.22501Marchenko, V. A.; Pastur, L. A. 203 1968 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 Eigenvalue distribution of large random matrices. Zbl 1244.15002Pastur, Leonid; Shcherbina, Mariya 97 2011 Spectral properties of disordered systems in the one-body approximation. Zbl 0429.60099Pastur, L. A. 92 1980 Distribution of eigenvalues in certain sets of random matrices. Zbl 0152.16101Marchenko, V. A.; Pastur, L. A. 92 1967 Spectra of random self adjoint operators. Zbl 0277.60049Pastur, L. A. 68 1973 Central limit theorem for linear eigenvalue statistics of random matrices with independent entries. Zbl 1180.15029Lytova, A.; Pastur, L. 66 2009 Asymptotic properties of large random matrices with independent entries. Zbl 0866.15014Khorunzhy, Alexei M.; Khoruzhenko, Boris A.; Pastur, Leonid A. 59 1996 Universality of the local eigenvalue statistics for a class of unitary invariant random matrix ensembles. Zbl 0916.15009Pastur, L.; Shcherbina, M. 56 1997 On the statistical mechanics approach in the random matrix theory: Integrated density of states. Zbl 1081.82569Boutet de Monvel, A.; Pastur, L.; Shcherbina, M. 55 1995 On the \(1/n\) expansion for some unitary invariant ensembles of random matrices. Zbl 1038.82039Albeverio, S.; Pastur, L.; Shcherbina, M. 35 2001 Bulk universality and related properties of Hermitian matrix models. Zbl 1136.15015Pastur, L.; Shcherbina, M. 34 2008 Limiting laws of linear eigenvalue statistics for Hermitian matrix models. Zbl 1112.82022Pastur, L. 28 2006 On the law of addition of random matrices. Zbl 1039.82020Pastur, L.; Vasilchuk, V. 25 2000 An exactly solvable model of a multidimensional incommensurate structure. Zbl 0582.35101Figotin, A. L.; Pastur, L. A. 22 1984 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 The replica-symmetric solution without replica trick for the Hopfield model. Zbl 0835.60092Pastur, L.; Shcherbina, M.; Tirozzi, B. 20 1994 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. 19 1977 Limiting eigenvalue distribution for band random matrices. Zbl 0794.15011Molchanov, S. A.; Pastur, L. A.; Khorunzhij, A. M. 18 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 spectrum of the one-dimensional Schrödinger equation with a random potential. Zbl 0216.37301Benderskij, M. M.; Pastur, L. A. 16 1971 On the distribution of the eigenvalues of the Schrödinger equation with a random potential. Zbl 0252.35051Pastur, L. A. 15 1972 A simple approach to the global regime of Gaussian ensembles of random matrices. Zbl 1102.82015Pastur, L. A. 14 2005 Spectral and probabilistic aspects of matrix models. Zbl 0844.15009Pastur, L. A. 14 1996 On the eigenvalue distribution of the deformed Wigner ensemble of random matrices. Zbl 0813.60036Khorunzhy, A. M.; Pastur, L. A. 14 1994 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 density of the states of band random matrices. Zbl 0762.60015Bogachev, L. V.; Molchanov, S. A.; Pastur, L. A. 12 1991 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 11 2008 On the edge universality of the local eigenvalue statistics of matrix models. Zbl 1064.60011Pastur, L.; Shcherbina, M. 11 2003 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 Spectral theory of Schrödinger operators with periodic complex-valued potentials. Zbl 0717.34096Pastur, L. A.; Tkachenko, V. A. 10 1988 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. 10 1984 The localization of surface states: an exactly solvable model. Zbl 1001.82526Khoruzhenko, Boris A.; Pastur, Leonid A. 9 1997 On the spectral theory of the one-dimensional Schrödinger operator with a limit-periodic potential. Zbl 0596.34010Pastur, L. A.; Tkachenko, V. A. 9 1984 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. 9 1978 Fluctuations of matrix elements of regular functions of Gaussian random matrices. Zbl 1161.60007Lytova, A.; Pastur, L. 8 2009 One dimensional Schrödinger operators with high potential barriers. Zbl 0883.34078Kirsch, W.; Molchanov, S. A.; Pastur, L. A. 8 1992 On the universality of the level spacing distribution for some ensembles of random matrices. Zbl 0758.15017Pastur, L. A. 8 1992 Spectral theory of a class of one-dimensional Schrödinger operators with limit-periodic potentials. Zbl 0709.34064Pastur, L. A.; Tkachenko, V. A. 8 1989 Large block properties of the entanglement entropy of free disordered fermions. Zbl 1361.82017Elgart, A.; Pastur, L.; Shcherbina, M. 7 2017 On the moments of traces of matrices of classical groups. Zbl 1102.60001Pastur, L.; Vasilchuk, V. 7 2004 On completeness of random exponentials in the Bargmann-Fock space. Zbl 1009.42005Chistyakov, G.; Lyubarskii, Yu.; Pastur, L. 7 2001 On the replica symmetric equations for the Hopfield model. Zbl 0988.82024Pastur, L.; Shcherbina, M.; Tirozzi, B. 7 1999 On the analogues of Szegő’s theorem for ergodic operators. Zbl 1312.47051Kirsch, W.; Pastur, L. A. 6 2015 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 the propagation properties of surface waves. Zbl 0905.65107Jakšić, V.; Molchanov, S.; Pastur, L. 6 1998 On the level density of random band matrices. Zbl 0778.60008Bogachev, L. V.; Molchanov, S. A.; Pastur, L. A. 6 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 An inverse problem for a class of one-dimensional Schrödinger operators with a complex periodic potential. Zbl 0739.34022Pastur, L. A.; Tkachenko, V. A. 6 1990 Spectral theory of self-adjoint random operators. Zbl 0661.60079Pastur, L. A. 6 1987 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 Condensation in a disordered infinite-range hopping Bose-Hubbard model. Zbl 1117.82010Dorlas, T. C.; Pastur, L. A.; Zagrebnov, V. A. 5 2006 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 On asymptotic properties of certain orthogonal polynomials. Zbl 0897.33007Albeverio, S.; Pastur, L.; Shcherbina, M. 5 1997 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 Examples of multidimensional, almost periodic operators, whose point and continuous spectra intersect. Zbl 0723.47001Pastur, L. A.; Figotin, A. L. 4 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 Central limit theorem for linear eigenvalue statistics of the Wigner and the sample covariance random matrices. Zbl 1433.60015Lytova, Anna; Pastur, Leonid 3 2009 On asymptotic behavior of multilinear eigenvalue statistics of random matrices. Zbl 1161.82010Lytova, A.; Pastur, L. 3 2008 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 Spektren zufälliger selbstadjungierter Operatoren. Zbl 0268.60034Pastur, L. A. 3 1973 Über die Schrödingergleichung mit zufälligem Potential. Zbl 0208.12903Pastur, L. A. 3 1971 How much delocalisation is needed for an enhanced area law of the entanglement entropy? Zbl 1439.81023Müller, Peter; Pastur, Leonid; Schulte, Ruth 2 2020 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 On the law of addition of random matrices: covariance and the central limit theorem for traces of resolvent. Zbl 1132.15021Pastur, L.; Vasilchuk, V. 2 2007 Quasi 1D localization: deterministic and random potentials. Zbl 1213.82048Kirsch, W.; Molchanov, S.; Pastur, L.; Vainberg, B. 2 2003 Random matrices: asymptotic eigenvalue statistics. Zbl 1175.15029Pastur, Leonid; Lejay, Antoine 2 2003 Random matrices as paradigm. Zbl 1017.82023Pastur, L. 2 2000 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 Eigenvalue distribution of random matrices: Some recent results. Zbl 0853.15021Pastur, L. 2 1996 Examples of random Schrödinger-type operators with non-Poissonian spectra. Zbl 1336.60129Molchanov, S.; Pastur, L.; Ray, E. 1 2015 On a limiting distribution of singular values of random band matrices. Zbl 1360.60020Lytova, A.; Pastur, L. 1 2015 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 O a random matrix model of quantum relaxation. Zbl 1141.82008Lebowitz, J. L.; Lytova, A.; Pastur, L. 1 2007 Spectral analysis of the generalized surface Maryland model. Zbl 1093.82009Bentosela, F.; Briet, Ph.; Pastur, L. 1 2005 A random matrix model of relaxation. Zbl 1138.82353Lebowitz, J. L.; Pastur, L. 1 2004 Surveys in Applied Mathematics. Vol. 2. Zbl 0834.00017Freidlin, Mark (ed.); Gredeskul, Sergey (ed.); Marchenko, Andrew (ed.); Pastur, Leonid (ed.); Hunter, John K. (ed.) 1 1995 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 Statistical physics and spectral theory of disordered systems: Some recent developments. Zbl 0947.82506Pastur, L. A. 1 1992 Schrödinger operator with a nonlocal potential whose absolutely continuous and point spectra coexist. Zbl 0713.35062Figotin, A. L.; Pastur, L. A. 1 1990 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 On the spectral theory of Schrödinger operators with periodic complex- valued potentials. Zbl 0658.34016Pastur, L. A.; Tkachenko, V. A. 1 1988 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 How much delocalisation is needed for an enhanced area law of the entanglement entropy? Zbl 1439.81023Müller, Peter; Pastur, Leonid; Schulte, Ruth 2 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 Large block properties of the entanglement entropy of free disordered fermions. Zbl 1361.82017Elgart, A.; Pastur, L.; Shcherbina, M. 7 2017 On the analogues of Szegő’s theorem for ergodic operators. Zbl 1312.47051Kirsch, W.; Pastur, L. A. 6 2015 Examples of random Schrödinger-type operators with non-Poissonian spectra. Zbl 1336.60129Molchanov, S.; Pastur, L.; Ray, E. 1 2015 On a limiting distribution of singular values of random band matrices. Zbl 1360.60020Lytova, A.; Pastur, L. 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 97 2011 Central limit theorem for linear eigenvalue statistics of random matrices with independent entries. Zbl 1180.15029Lytova, A.; Pastur, L. 66 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. 8 2009 Central limit theorem for linear eigenvalue statistics of the Wigner and the sample covariance random matrices. Zbl 1433.60015Lytova, Anna; Pastur, Leonid 3 2009 Bulk universality and related properties of Hermitian matrix models. Zbl 1136.15015Pastur, L.; Shcherbina, M. 34 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 11 2008 On asymptotic behavior of multilinear eigenvalue statistics of random matrices. Zbl 1161.82010Lytova, A.; Pastur, L. 3 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. 2 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. 28 2006 Condensation in a disordered infinite-range hopping Bose-Hubbard model. Zbl 1117.82010Dorlas, T. C.; Pastur, L. A.; Zagrebnov, V. A. 5 2006 From random matrices to quasi-periodic Jacobi matrices via orthogonal polynomials. Zbl 1118.15023Pastur, L. 5 2006 A simple approach to the global regime of Gaussian ensembles of random matrices. Zbl 1102.82015Pastur, L. A. 14 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. 1 2004 On the edge universality of the local eigenvalue statistics of matrix models. Zbl 1064.60011Pastur, L.; Shcherbina, M. 11 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 Quasi 1D localization: deterministic and random potentials. Zbl 1213.82048Kirsch, W.; Molchanov, S.; Pastur, L.; Vainberg, B. 2 2003 Random matrices: asymptotic eigenvalue statistics. Zbl 1175.15029Pastur, Leonid; Lejay, Antoine 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. 35 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. 25 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. 7 1999 On the propagation properties of surface waves. Zbl 0905.65107Jakšić, V.; Molchanov, S.; Pastur, L. 6 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. 56 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. 59 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. 55 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 0834.00017Freidlin, Mark (ed.); Gredeskul, Sergey (ed.); Marchenko, Andrew (ed.); Pastur, Leonid (ed.); Hunter, John K. (ed.) 1 1995 The replica-symmetric solution without replica trick for the Hopfield model. Zbl 0835.60092Pastur, L.; Shcherbina, M.; Tirozzi, B. 20 1994 On the eigenvalue distribution of the deformed Wigner ensemble of random matrices. Zbl 0813.60036Khorunzhy, A. M.; Pastur, L. A. 14 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 261 1992 Limiting eigenvalue distribution for band random matrices. Zbl 0794.15011Molchanov, S. A.; Pastur, L. A.; Khorunzhij, A. M. 18 1992 One dimensional Schrödinger operators with high potential barriers. Zbl 0883.34078Kirsch, W.; Molchanov, S. A.; Pastur, L. A. 8 1992 On the universality of the level spacing distribution for some ensembles of random matrices. Zbl 0758.15017Pastur, 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. 12 1991 On the level density of random band matrices. Zbl 0778.60008Bogachev, L. V.; Molchanov, S. A.; Pastur, L. A. 6 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. 6 1990 Examples of multidimensional, almost periodic operators, whose point and continuous spectra intersect. Zbl 0723.47001Pastur, L. A.; Figotin, A. L. 4 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 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. 1 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. 10 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. 22 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. 10 1984 On the spectral theory of the one-dimensional Schrödinger operator with a limit-periodic potential. Zbl 0596.34010Pastur, L. A.; Tkachenko, V. A. 9 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. 92 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. 9 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. 19 1977 Spectra of random self adjoint operators. Zbl 0277.60049Pastur, L. A. 68 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. 15 1972 On the spectrum of the one-dimensional Schrödinger equation with a random potential. Zbl 0216.37301Benderskij, M. M.; Pastur, L. A. 16 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. 203 1968 Distribution of eigenvalues in certain sets of random matrices. Zbl 0152.16101Marchenko, V. A.; Pastur, L. A. 92 1967 all cited Publications top 5 cited Publications all top 5 Cited by 1,231 Authors 33 Pastur, Leonid Andreevich 32 Erdős, László 28 Simon, Barry 27 Kirsch, Werner 24 Klein, Abel 24 Klopp, Frédéric 21 Bai, Zhi-Dong 20 Shcherbina, Mariya 19 Molchanov, Stanislav Alekseevich 18 Stolz, Gunter 18 Yau, Horng-Tzer 17 Guionnet, Alice 15 Damanik, David 15 Pan, Guangming 15 Warzel, Simone 14 Forrester, Peter J. 14 Götze, Friedrich W. 14 Veselić, Ivan 14 Yao, Jianfeng 13 Soshnikov, Alexander B. 13 Yin, Jun 12 Gesztesy, Fritz 12 Jitomirskaya, Svetlana Ya. 12 Lee, Ji Oon 12 Müller, Peter 12 Schnelli, Kevin 12 Tikhomirov, Alexander Nikolaevich 10 El Karoui, Noureddine 10 Germinet, François 10 Lenz, Daniel H. 10 Shcherbina, Tatyana 9 Aizenman, Michael 9 Bao, Zhigang 9 Chulaevsky, Victor 9 Krüger, Torben 9 Lubinsky, Doron S. 8 Benaych-Georges, Florent 8 Boutet de Monvel, Anne Marie 8 Couillet, Romain 8 Girko, Vyacheslav Leonidovich 8 Hachem, Walid 8 Karpeshina, Yulia E. 8 Knowles, Antti 8 Najar, Hatem 8 Sadel, Christian 8 Schulz-Baldes, Hermann 7 Fyodorov, Yan V. 7 Johnson, Russell Allan 7 Martinelli, Fabio 7 Najim, Jamal 7 O’Rourke, Sean D. 7 Péché, Sandrine 7 Ueki, Naomasa 7 Vu, Van H. 7 Zheng, Shurong 7 Zhou, Wang 6 Bentosela, François 6 Breuer, Jonathan 6 Gordon, Alexander Ya. 6 Hislop, Peter D. 6 Jiang, Tiefeng 6 Khoruzhenko, Boris A. 6 Kotani, Shinichi 6 Lambert, Gaultier 6 Ledoit, Olivier 6 Liu, Dangzheng 6 Loubaton, Philippe 6 McLaughlin, Kenneth D. T.-R. 6 Raikov, Georgi D. 6 Renfrew, David 6 Schenker, Jeffrey H. 6 Silverstein, Jack W. 6 Sims, Robert L. 6 Sodin, Sasha 6 Spencer, Thomas C. 6 Tirozzi, Brunello 5 Ajanki, Oskari Heikki 5 Baik, Jinho 5 Barra, Adriano 5 Bourgade, Paul 5 Bovier, Anton 5 Briet, Philippe 5 Capitaine, Mireille 5 Chen, Yang 5 Collins, Benoît 5 Duits, Maurice 5 Dumitriu, Ioana 5 Fillman, Jake 5 Fröhlich, Jürg Martin 5 Kargin, Vladislav 5 Kerner, Joachim 5 Kriecherbauer, Thomas 5 Kuijlaars, Arno B. J. 5 Last, Yoram 5 Lee, Young-Ran 5 Leschke, Hajo 5 Litvak, Aleksandr Evgen’evich 5 Majumdar, Satya N. 5 Mezzadri, Francesco 5 Miao, Bai-qi ...and 1,131 more Authors all top 5 Cited in 210 Serials 139 Communications in Mathematical Physics 108 Journal of Statistical Physics 65 Journal of Mathematical Physics 47 Journal of Functional Analysis 44 Probability Theory and Related Fields 38 The Annals of Probability 38 The Annals of Statistics 35 Journal of Multivariate Analysis 32 Random Matrices: Theory and Applications 25 Annales Henri Poincaré 21 Advances in Mathematics 21 Journal of Theoretical Probability 16 Mathematical Physics, Analysis and Geometry 15 Letters in Mathematical Physics 15 The Annals of Applied Probability 14 Journal d’Analyse Mathématique 14 Journal of Mathematical Analysis and Applications 13 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 12 Duke Mathematical Journal 12 Statistics & Probability Letters 12 Stochastic Processes and their Applications 11 Communications on Pure and Applied Mathematics 11 Reviews in Mathematical Physics 11 Journal of Soviet Mathematics 11 Annales de l’Institut Henri Poincaré. Physique Théorique 10 Mathematical Notes 10 Functional Analysis and its Applications 10 Journal of Approximation Theory 10 Random Operators and Stochastic Equations 10 Electronic Journal of Probability 9 Theoretical and Mathematical Physics 9 Transactions of the American Mathematical Society 9 Bernoulli 9 Comptes Rendus. Mathématique. Académie des Sciences, Paris 8 Israel Journal of Mathematics 8 Nuclear Physics. B 8 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 7 Acta Mathematica 7 Proceedings of the American Mathematical Society 7 Bulletin of the American Mathematical Society. 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Symmetry, Integrability and Geometry: Methods and Applications 4 Electronic Journal of Statistics 3 Indian Journal of Pure & Applied Mathematics 3 Physics Letters. A 3 Arkiv för Matematik 3 Journal für die Reine und Angewandte Mathematik 3 Transactions of the Moscow Mathematical Society 3 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 3 Advances in Applied Mathematics 3 Acta Mathematicae Applicatae Sinica. English Series 3 Journal of the American Mathematical Society 3 Neural Networks 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Journal of Dynamics and Differential Equations 3 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 3 Annals of Mathematics. Second Series 3 Journal of the European Mathematical Society (JEMS) 3 Journal of Machine Learning Research (JMLR) 3 Central European Journal of Mathematics 3 Boundary Value Problems 3 Waves in Random and Complex Media 2 Computer Methods in Applied Mechanics and Engineering 2 Problems of Information Transmission 2 Ukrainian Mathematical Journal 2 Chaos, Solitons and Fractals 2 Journal of Geometry and Physics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Applied Mathematics and Computation 2 Integral Equations and Operator Theory 2 Journal of the American Statistical Association 2 Mathematische Annalen 2 Mathematische Zeitschrift 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Physica D 2 Science in China. Series A 2 Geometric and Functional Analysis. GAFA ...and 110 more Serials all top 5 Cited in 56 Fields 636 Probability theory and stochastic processes (60-XX) 375 Linear and multilinear algebra; matrix theory (15-XX) 367 Statistical mechanics, structure of matter (82-XX) 242 Operator theory (47-XX) 218 Quantum theory (81-XX) 180 Statistics (62-XX) 167 Partial differential equations (35-XX) 104 Ordinary differential equations (34-XX) 62 Functional analysis (46-XX) 61 Dynamical systems and ergodic theory (37-XX) 53 Harmonic analysis on Euclidean spaces (42-XX) 44 Combinatorics (05-XX) 43 Special functions (33-XX) 31 Difference and functional equations (39-XX) 27 Numerical analysis (65-XX) 20 Functions of a complex variable (30-XX) 20 Operations research, mathematical programming (90-XX) 19 Information and communication theory, circuits (94-XX) 15 Approximations and expansions (41-XX) 15 Global analysis, analysis on manifolds (58-XX) 15 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 13 Biology and other natural sciences (92-XX) 10 Potential theory (31-XX) 10 Computer science (68-XX) 9 Algebraic geometry (14-XX) 9 Measure and integration (28-XX) 8 Optics, electromagnetic theory (78-XX) 7 Number theory (11-XX) 7 Convex and discrete geometry (52-XX) 6 Real functions (26-XX) 6 Integral transforms, operational calculus (44-XX) 6 Fluid mechanics (76-XX) 5 Mechanics of deformable solids (74-XX) 4 History and biography (01-XX) 4 Group theory and generalizations (20-XX) 4 Mechanics of particles and systems (70-XX) 4 Relativity and gravitational theory (83-XX) 3 Topological groups, Lie groups (22-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Integral equations (45-XX) 3 Systems theory; control (93-XX) 2 General and overarching topics; collections (00-XX) 2 Associative rings and algebras (16-XX) 2 Geometry (51-XX) 2 Differential geometry (53-XX) 2 General topology (54-XX) 2 Manifolds and cell complexes (57-XX) 2 Geophysics (86-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Nonassociative rings and algebras (17-XX) 1 \(K\)-theory (19-XX) 1 Sequences, series, summability (40-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year