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Pastur, Leonid Andreevich

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Author ID: pastur.leonid-andreevich Recent zbMATH articles by "Pastur, Leonid Andreevich"
Published as: Pastur, L. A.; Pastur, L.; Pastur, Leonid; Pastur, Leonid A.
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

Publications by Year

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 0752.47002
Pastur, Leonid; Figotin, Alexander
275
1992
Distribution of eigenvalues for some sets of random matrices. Zbl 0162.22501
Marchenko, V. A.; Pastur, L. A.
228
1968
Eigenvalue distribution of large random matrices. Zbl 1244.15002
Pastur, Leonid; Shcherbina, Mariya
121
2011
Distribution of eigenvalues in certain sets of random matrices. (Verteilung der Eigenwerte in gewissen Ensembles von Zufallsmatrizen.) Zbl 0152.16101
Marchenko, V. A.; Pastur, L. A.
116
1967
A pure point spectrum of the stochastic one-dimensional Schrödinger operator. Zbl 0368.34015
Gol’dshejd, I. Ya.; Molchanov, S. A.; Pastur, L. A.
109
1977
Spectral properties of disordered systems in the one-body approximation. Zbl 0429.60099
Pastur, L. A.
100
1980
Central limit theorem for linear eigenvalue statistics of random matrices with independent entries. Zbl 1180.15029
Lytova, A.; Pastur, L.
86
2009
Spectra of random self adjoint operators. Zbl 0277.60049
Pastur, L. A.
71
1973
Asymptotic properties of large random matrices with independent entries. Zbl 0866.15014
Khorunzhy, 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 1081.82569
Boutet 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 0916.15009
Pastur, L.; Shcherbina, M.
58
1997
On the \(1/n\) expansion for some unitary invariant ensembles of random matrices. Zbl 1038.82039
Albeverio, S.; Pastur, L.; Shcherbina, M.
38
2001
Bulk universality and related properties of Hermitian matrix models. Zbl 1136.15015
Pastur, L.; Shcherbina, M.
36
2008
Limiting laws of linear eigenvalue statistics for Hermitian matrix models. Zbl 1112.82022
Pastur, L.
30
2006
On the law of addition of random matrices. Zbl 1039.82020
Pastur, L.; Vasilchuk, V.
27
2000
An exactly solvable model of a multidimensional incommensurate structure. Zbl 0582.35101
Figotin, A. L.; Pastur, L. A.
23
1984
The replica-symmetric solution without replica trick for the Hopfield model. Zbl 0835.60092
Pastur, 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 1178.15023
Pajor, 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 0353.60053
Pastur, L. A.
20
1977
Limiting eigenvalue distribution for band random matrices. Zbl 0794.15011
Molchanov, S. A.; Pastur, L. A.; Khorunzhij, A. M.
19
1992
One-dimensional Schrödinger operator with unbounded potential: The pure point spectrum. Zbl 0747.47023
Kirsch, W.; Molchanov, S. A.; Pastur, L. A.
16
1990
On the density of the states of band random matrices. Zbl 0762.60015
Bogachev, L. V.; Molchanov, S. A.; Pastur, L. A.
16
1991
On the eigenvalue distribution of the deformed Wigner ensemble of random matrices. Zbl 0813.60036
Khorunzhy, A. M.; Pastur, L. A.
16
1994
On the spectrum of the one-dimensional Schrödinger equation with a random potential. Zbl 0216.37301
Benderskij, M. M.; Pastur, L. A.
15
1971
A simple approach to the global regime of Gaussian ensembles of random matrices. Zbl 1102.82015
Pastur, L. A.
15
2005
Spectral and probabilistic aspects of matrix models. Zbl 0844.15009
Pastur, L. A.
14
1996
Lifshitz tails for random Schrödinger operators with negative singular Poisson potential. Zbl 0937.60098
Klopp, Frédéric; Pastur, Leonid
12
1999
On the \(1/N\) corrections to the Green functions of random matrices with independent entries. Zbl 0855.15016
Khorunzhy, A.; Khoruzhenko, B.; Pastur, L.
12
1995
On the edge universality of the local eigenvalue statistics of matrix models. Zbl 1064.60011
Pastur, L.; Shcherbina, M.
12
2003
A new approach for mutual information analysis of large dimensional multi-antenna channels. Zbl 1322.94003
Hachem, 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 0772.60046
Khorunzhy, 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 0555.39002
Figotin, A. L.; Pastur, L. A.
11
1984
Spectral theory of Schrödinger operators with periodic complex-valued potentials. Zbl 0717.34096
Pastur, L. A.; Tkachenko, V. A.
11
1988
On the distribution of the eigenvalues of the Schrödinger equation with a random potential. Zbl 0252.35051
Pastur, L. A.
11
1972
On the level density of random band matrices. Zbl 0778.60008
Bogachev, L. V.; Molchanov, S. A.; Pastur, L. A.
10
1991
On the replica symmetric equations for the Hopfield model. Zbl 0988.82024
Pastur, L.; Shcherbina, M.; Tirozzi, B.
9
1999
The localization of surface states: an exactly solvable model. Zbl 1001.82526
Khoruzhenko, Boris A.; Pastur, Leonid A.
9
1997
Fluctuations of matrix elements of regular functions of Gaussian random matrices. Zbl 1161.60007
Lytova, A.; Pastur, L.
9
2009
Large block properties of the entanglement entropy of free disordered fermions. Zbl 1361.82017
Elgart, A.; Pastur, L.; Shcherbina, M.
9
2017
On the universality of the level spacing distribution for some ensembles of random matrices. Zbl 0758.15017
Pastur, L. A.
8
1992
On the spectral theory of the one-dimensional Schrödinger operator with a limit-periodic potential. Zbl 0596.34010
Pastur, L. A.; Tkachenko, V. A.
8
1984
Spectral theory of a class of one-dimensional Schrödinger operators with limit-periodic potentials. Zbl 0709.34064
Pastur, L. A.; Tkachenko, V. A.
8
1989
One dimensional Schrödinger operators with high potential barriers. Zbl 0883.34078
Kirsch, W.; Molchanov, S. A.; Pastur, L. A.
8
1992
On completeness of random exponentials in the Bargmann-Fock space. Zbl 1009.42005
Chistyakov, G.; Lyubarskii, Yu.; Pastur, L.
7
2001
An inverse problem for a class of one-dimensional Schrödinger operators with a complex periodic potential. Zbl 0739.34022
Pastur, 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 0433.35072
Pastur, L. A.; Figotin, A. L.
7
1978
On the propagation properties of surface waves. Zbl 0905.65107
Jakšić, V.; Molchanov, S.; Pastur, L.
7
1998
On the moments of traces of matrices of classical groups. Zbl 1102.60001
Pastur, L.; Vasilchuk, V.
7
2004
On the analogues of Szegő’s theorem for ergodic operators. Zbl 1312.47051
Kirsch, 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 0413.60055
Pastur, L. A.
6
1978
Spectral theory of self-adjoint random operators. Zbl 0661.60079
Pastur, L. A.
6
1987
Geometry of the spectrum of the one-dimensional Schrödinger equation with a periodic complex-valued potential. Zbl 0781.34054
Pastur, L. A.; Tkachenko, V. A.
6
1991
On the spectral and wave propagation properties of the surface Maryland model. Zbl 1061.81026
Bentosela, 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 1106.82370
Kirsch, W.; Lenoble, O.; Pastur, L.
6
2003
On asymptotic properties of certain orthogonal polynomials. Zbl 0897.33007
Albeverio, S.; Pastur, L.; Shcherbina, M.
5
1997
From random matrices to quasi-periodic Jacobi matrices via orthogonal polynomials. Zbl 1118.15023
Pastur, L.
5
2006
A class of the multi-interval eigenvalue distributions of matrix models and related structures. Zbl 1041.81024
Buslaev, V.; Pastur, L.
5
2002
Condensation in a disordered infinite-range hopping Bose-Hubbard model. Zbl 1117.82010
Dorlas, 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 1439.81023
Müller, Peter; Pastur, Leonid; Schulte, Ruth
5
2020
Central limit theorem for linear eigenvalue statistics of the Wigner and the sample covariance random matrices. Zbl 1433.60015
Lytova, Anna; Pastur, Leonid
4
2009
The absence of the selfaveraging property of the entanglement entropy of disordered free fermions in one dimension. Zbl 1390.82017
Pastur, L.; Slavin, V.
4
2018
An inverse problem for a class of one-dimensional Schrödinger operators with complex periodic potential. Zbl 0718.34015
Pastur, L. A.; Tkachenko, V. A.
4
1990
Examples of multidimensional, almost periodic operators, whose point and continuous spectra intersect. Zbl 0723.47001
Pastur, 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 1132.15021
Pastur, L.; Vasilchuk, V.
3
2007
Über die Schrödingergleichung mit zufälligem Potential. Zbl 0208.12903
Pastur, L. A.
3
1971
The interband light absorption coefficient in the weak disorder regime: An asymptotically exactly solvable model. Zbl 0836.60115
Khoruzhenko, 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 0727.60121
Kirsch, W.; Pastur, L. A.
3
1990
A random matrix model of relaxation. Zbl 1138.82353
Lebowitz, J. L.; Pastur, L.
3
2004
Spektren zufälliger selbstadjungierter Operatoren. Zbl 0268.60034
Pastur, L. A.
3
1973
Asymptotics of the interband light absorption coefficient near the band edge for an alloy-type model. Zbl 1079.82536
Kirsch, W.; Pastur, L. A.; Stork, H.
2
1998
Random matrices: asymptotic eigenvalue statistics. (Matrices aléatoires: Statistique asymptotique des valeurs propres.) Zbl 1175.15029
Pastur, Leonid; Lejay, Antoine
2
2003
Eigenvalue distribution of random matrices: Some recent results. Zbl 0853.15021
Pastur, L.
2
1996
The central limit theorem for linear eigenvalue statistics of the sum of independent random matrices of rank one. Zbl 1323.60015
Guédon, Olivier; Lytova, Anna; Pajor, Alain; Pastur, Leonid
2
2014
Schrödinger operator with a nonlocal potential whose absolutely continuous and point spectra coexist. Zbl 0713.35062
Figotin, A. L.; Pastur, L. A.
2
1990
Random matrices as paradigm. Zbl 1017.82023
Pastur, L.
2
2000
Quasi 1D localization: deterministic and random potentials. Zbl 1213.82048
Kirsch, W.; Molchanov, S.; Pastur, L.; Vainberg, B.
2
2003
On asymptotic behavior of multilinear eigenvalue statistics of random matrices. Zbl 1161.82010
Lytova, A.; Pastur, L.
2
2008
Szegö-type theorems for one-dimensional Schrödinger operator with random potential (smooth case). Zbl 07116935
Pastur, L.; Shcherbina, M.
2
2018
Preface. Zbl 1320.01035
Khruslov, E.; Pastur, L.; Shepelsky, D.
1
2014
On a limiting distribution of singular values of random band matrices. Zbl 1360.60020
Lytova, A.; Pastur, L.
1
2015
Examples of random Schrödinger-type operators with non-Poissonian spectra. Zbl 1336.60129
Molchanov, S.; Pastur, L.; Ray, E.
1
2015
Eigenvalue distribution for a certain class of random matrices in the limit of their infinite order. Zbl 0839.15019
Pastur, 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 0658.34016
Pastur, L. A.; Tkachenko, V. A.
1
1988
Spectral theory of random self-adjoint operators. Zbl 0684.60051
Pastur, L. A.
1
1989
Ergodic properties of the distribution of the eigenvalues of certain classes of random self-adjoint operators. Zbl 0544.35091
Pastur, L. A.; Figotin, A. L.
1
1984
Spectral analysis of the generalized surface Maryland model. Zbl 1093.82009
Bentosela, F.; Briet, Ph.; Pastur, L.
1
2005
Statistical physics and spectral theory of disordered systems: Some recent developments. Zbl 0947.82506
Pastur, L. A.
1
1992
Polarization of a vacuum by a stochastic field and phase transitions in relativistic systems. Zbl 0875.53037
Krive, 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 1238.15019
Pastur, L.
1
2012
Mikhail Shlemovich Birman (obituary). Zbl 1219.01025
Babich, 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 1141.82008
Lebowitz, J. L.; Lytova, A.; Pastur, L.
1
2007
On random matrices arising in deep neural networks: Gaussian case. Zbl 1467.15032
Pastur, Leonid
1
2020
How much delocalisation is needed for an enhanced area law of the entanglement entropy? Zbl 1439.81023
Müller, Peter; Pastur, Leonid; Schulte, Ruth
5
2020
On random matrices arising in deep neural networks: Gaussian case. Zbl 1467.15032
Pastur, Leonid
1
2020
The absence of the selfaveraging property of the entanglement entropy of disordered free fermions in one dimension. Zbl 1390.82017
Pastur, L.; Slavin, V.
4
2018
Szegö-type theorems for one-dimensional Schrödinger operator with random potential (smooth case). Zbl 07116935
Pastur, L.; Shcherbina, M.
2
2018
Large block properties of the entanglement entropy of free disordered fermions. Zbl 1361.82017
Elgart, A.; Pastur, L.; Shcherbina, M.
9
2017
On the analogues of Szegő’s theorem for ergodic operators. Zbl 1312.47051
Kirsch, W.; Pastur, L. A.
7
2015
On a limiting distribution of singular values of random band matrices. Zbl 1360.60020
Lytova, A.; Pastur, L.
1
2015
Examples of random Schrödinger-type operators with non-Poissonian spectra. Zbl 1336.60129
Molchanov, 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 1323.60015
Guédon, Olivier; Lytova, Anna; Pajor, Alain; Pastur, Leonid
2
2014
Preface. Zbl 1320.01035
Khruslov, E.; Pastur, L.; Shepelsky, D.
1
2014
On connections between the theory of random operators and the theory of random matrices. Zbl 1238.15019
Pastur, L.
1
2012
Eigenvalue distribution of large random matrices. Zbl 1244.15002
Pastur, Leonid; Shcherbina, Mariya
121
2011
Mikhail Shlemovich Birman (obituary). Zbl 1219.01025
Babich, 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 1180.15029
Lytova, A.; Pastur, L.
86
2009
On the limiting empirical measure of eigenvalues of the sum of rank one matrices with log-concave distribution. Zbl 1178.15023
Pajor, A.; Pastur, L.
20
2009
Fluctuations of matrix elements of regular functions of Gaussian random matrices. Zbl 1161.60007
Lytova, A.; Pastur, L.
9
2009
Central limit theorem for linear eigenvalue statistics of the Wigner and the sample covariance random matrices. Zbl 1433.60015
Lytova, Anna; Pastur, Leonid
4
2009
Bulk universality and related properties of Hermitian matrix models. Zbl 1136.15015
Pastur, L.; Shcherbina, M.
36
2008
A new approach for mutual information analysis of large dimensional multi-antenna channels. Zbl 1322.94003
Hachem, Walid; Khorunzhiy, Oleksiy; Loubaton, Philippe; Najim, Jamal; Pastur, Leonid
12
2008
On asymptotic behavior of multilinear eigenvalue statistics of random matrices. Zbl 1161.82010
Lytova, A.; Pastur, L.
2
2008
On the law of addition of random matrices: covariance and the central limit theorem for traces of resolvent. Zbl 1132.15021
Pastur, L.; Vasilchuk, V.
3
2007
O a random matrix model of quantum relaxation. Zbl 1141.82008
Lebowitz, J. L.; Lytova, A.; Pastur, L.
1
2007
Limiting laws of linear eigenvalue statistics for Hermitian matrix models. Zbl 1112.82022
Pastur, L.
30
2006
From random matrices to quasi-periodic Jacobi matrices via orthogonal polynomials. Zbl 1118.15023
Pastur, L.
5
2006
Condensation in a disordered infinite-range hopping Bose-Hubbard model. Zbl 1117.82010
Dorlas, T. C.; Pastur, L. A.; Zagrebnov, V. A.
5
2006
A simple approach to the global regime of Gaussian ensembles of random matrices. Zbl 1102.82015
Pastur, L. A.
15
2005
Spectral analysis of the generalized surface Maryland model. Zbl 1093.82009
Bentosela, F.; Briet, Ph.; Pastur, L.
1
2005
On the moments of traces of matrices of classical groups. Zbl 1102.60001
Pastur, L.; Vasilchuk, V.
7
2004
A random matrix model of relaxation. Zbl 1138.82353
Lebowitz, J. L.; Pastur, L.
3
2004
On the edge universality of the local eigenvalue statistics of matrix models. Zbl 1064.60011
Pastur, L.; Shcherbina, M.
12
2003
On the spectral and wave propagation properties of the surface Maryland model. Zbl 1061.81026
Bentosela, 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 1106.82370
Kirsch, W.; Lenoble, O.; Pastur, L.
6
2003
Random matrices: asymptotic eigenvalue statistics. (Matrices aléatoires: Statistique asymptotique des valeurs propres.) Zbl 1175.15029
Pastur, Leonid; Lejay, Antoine
2
2003
Quasi 1D localization: deterministic and random potentials. Zbl 1213.82048
Kirsch, W.; Molchanov, S.; Pastur, L.; Vainberg, B.
2
2003
A class of the multi-interval eigenvalue distributions of matrix models and related structures. Zbl 1041.81024
Buslaev, V.; Pastur, L.
5
2002
On the \(1/n\) expansion for some unitary invariant ensembles of random matrices. Zbl 1038.82039
Albeverio, S.; Pastur, L.; Shcherbina, M.
38
2001
On completeness of random exponentials in the Bargmann-Fock space. Zbl 1009.42005
Chistyakov, G.; Lyubarskii, Yu.; Pastur, L.
7
2001
On the law of addition of random matrices. Zbl 1039.82020
Pastur, L.; Vasilchuk, V.
27
2000
Random matrices as paradigm. Zbl 1017.82023
Pastur, L.
2
2000
Lifshitz tails for random Schrödinger operators with negative singular Poisson potential. Zbl 0937.60098
Klopp, Frédéric; Pastur, Leonid
12
1999
On the replica symmetric equations for the Hopfield model. Zbl 0988.82024
Pastur, L.; Shcherbina, M.; Tirozzi, B.
9
1999
On the propagation properties of surface waves. Zbl 0905.65107
Jakšić, V.; Molchanov, S.; Pastur, L.
7
1998
Asymptotics of the interband light absorption coefficient near the band edge for an alloy-type model. Zbl 1079.82536
Kirsch, W.; Pastur, L. A.; Stork, H.
2
1998
Universality of the local eigenvalue statistics for a class of unitary invariant random matrix ensembles. Zbl 0916.15009
Pastur, L.; Shcherbina, M.
58
1997
The localization of surface states: an exactly solvable model. Zbl 1001.82526
Khoruzhenko, Boris A.; Pastur, Leonid A.
9
1997
On asymptotic properties of certain orthogonal polynomials. Zbl 0897.33007
Albeverio, S.; Pastur, L.; Shcherbina, M.
5
1997
Asymptotic properties of large random matrices with independent entries. Zbl 0866.15014
Khorunzhy, Alexei M.; Khoruzhenko, Boris A.; Pastur, Leonid A.
66
1996
Spectral and probabilistic aspects of matrix models. Zbl 0844.15009
Pastur, L. A.
14
1996
Eigenvalue distribution of random matrices: Some recent results. Zbl 0853.15021
Pastur, L.
2
1996
On the statistical mechanics approach in the random matrix theory: Integrated density of states. Zbl 1081.82569
Boutet 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 0855.15016
Khorunzhy, 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 0835.60092
Pastur, L.; Shcherbina, M.; Tirozzi, B.
22
1994
On the eigenvalue distribution of the deformed Wigner ensemble of random matrices. Zbl 0813.60036
Khorunzhy, A. M.; Pastur, L. A.
16
1994
The interband light absorption coefficient in the weak disorder regime: An asymptotically exactly solvable model. Zbl 0836.60115
Khoruzhenko, 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 0839.15019
Pastur, 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 0772.60046
Khorunzhy, A. M.; Pastur, L. A.
11
1993
Spectra of random and almost-periodic operators. Zbl 0752.47002
Pastur, Leonid; Figotin, Alexander
275
1992
Limiting eigenvalue distribution for band random matrices. Zbl 0794.15011
Molchanov, 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 0758.15017
Pastur, L. A.
8
1992
One dimensional Schrödinger operators with high potential barriers. Zbl 0883.34078
Kirsch, W.; Molchanov, S. A.; Pastur, L. A.
8
1992
Statistical physics and spectral theory of disordered systems: Some recent developments. Zbl 0947.82506
Pastur, L. A.
1
1992
On the density of the states of band random matrices. Zbl 0762.60015
Bogachev, L. V.; Molchanov, S. A.; Pastur, L. A.
16
1991
On the level density of random band matrices. Zbl 0778.60008
Bogachev, 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 0781.34054
Pastur, L. A.; Tkachenko, V. A.
6
1991
One-dimensional Schrödinger operator with unbounded potential: The pure point spectrum. Zbl 0747.47023
Kirsch, 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 0739.34022
Pastur, L. A.; Tkachenko, V. A.
7
1990
An inverse problem for a class of one-dimensional Schrödinger operators with complex periodic potential. Zbl 0718.34015
Pastur, L. A.; Tkachenko, V. A.
4
1990
Examples of multidimensional, almost periodic operators, whose point and continuous spectra intersect. Zbl 0723.47001
Pastur, 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 0727.60121
Kirsch, W.; Pastur, L. A.
3
1990
Schrödinger operator with a nonlocal potential whose absolutely continuous and point spectra coexist. Zbl 0713.35062
Figotin, A. L.; Pastur, L. A.
2
1990
Spectral theory of a class of one-dimensional Schrödinger operators with limit-periodic potentials. Zbl 0709.34064
Pastur, L. A.; Tkachenko, V. A.
8
1989
Spectral theory of random self-adjoint operators. Zbl 0684.60051
Pastur, L. A.
1
1989
Polarization of a vacuum by a stochastic field and phase transitions in relativistic systems. Zbl 0875.53037
Krive, I. V.; Pastur, L. A.; Rozhavski, A. S.
1
1989
Spectral theory of Schrödinger operators with periodic complex-valued potentials. Zbl 0717.34096
Pastur, L. A.; Tkachenko, V. A.
11
1988
On the spectral theory of Schrödinger operators with periodic complex- valued potentials. Zbl 0658.34016
Pastur, L. A.; Tkachenko, V. A.
1
1988
Spectral theory of self-adjoint random operators. Zbl 0661.60079
Pastur, L. A.
6
1987
An exactly solvable model of a multidimensional incommensurate structure. Zbl 0582.35101
Figotin, 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 0555.39002
Figotin, A. L.; Pastur, L. A.
11
1984
On the spectral theory of the one-dimensional Schrödinger operator with a limit-periodic potential. Zbl 0596.34010
Pastur, L. A.; Tkachenko, V. A.
8
1984
Ergodic properties of the distribution of the eigenvalues of certain classes of random self-adjoint operators. Zbl 0544.35091
Pastur, L. A.; Figotin, A. L.
1
1984
Spectral properties of disordered systems in the one-body approximation. Zbl 0429.60099
Pastur, L. A.
100
1980
Ergodic properties of the distribution of the eigen-values for some classes of stochastic self-adjoint operators. Zbl 0433.35072
Pastur, 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 0413.60055
Pastur, L. A.
6
1978
A pure point spectrum of the stochastic one-dimensional Schrödinger operator. Zbl 0368.34015
Gol’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 0353.60053
Pastur, L. A.
20
1977
Spectra of random self adjoint operators. Zbl 0277.60049
Pastur, L. A.
71
1973
Spektren zufälliger selbstadjungierter Operatoren. Zbl 0268.60034
Pastur, L. A.
3
1973
On the distribution of the eigenvalues of the Schrödinger equation with a random potential. Zbl 0252.35051
Pastur, L. A.
11
1972
On the spectrum of the one-dimensional Schrödinger equation with a random potential. Zbl 0216.37301
Benderskij, M. M.; Pastur, L. A.
15
1971
Über die Schrödingergleichung mit zufälligem Potential. Zbl 0208.12903
Pastur, L. A.
3
1971
Distribution of eigenvalues for some sets of random matrices. Zbl 0162.22501
Marchenko, 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 0152.16101
Marchenko, V. A.; Pastur, L. A.
116
1967
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
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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. Probabilités et Statistiques
16 Mathematical Physics, Analysis and Geometry
15 Journal d’Analyse Mathématique
15 Journal of Mathematical Analysis and Applications
15 Electronic Journal of Probability
14 Statistics & Probability Letters
13 Duke Mathematical Journal
13 Bernoulli
12 Transactions of the American Mathematical Society
11 Communications on Pure and Applied Mathematics
11 Journal of Soviet Mathematics
11 Annales de l’Institut Henri Poincaré. Physique Théorique
10 Mathematical Notes
10 Functional Analysis and its Applications
10 Stochastic Processes and their Applications
10 Random Operators and Stochastic Equations
9 Israel Journal of Mathematics
9 Theoretical and Mathematical Physics
9 Journal of Approximation Theory
9 Comptes Rendus. Mathématique. Académie des Sciences, Paris
8 Journal of Differential Equations
8 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
8 St. Petersburg Mathematical Journal
8 Journal of Spectral Theory
7 Acta Mathematica
7 Proceedings of the American Mathematical Society
7 Ergodic Theory and Dynamical Systems
7 Bulletin of the American Mathematical Society. New Series
7 Journal of the European Mathematical Society (JEMS)
7 Quantitative Finance
6 Nuclear Physics. B
6 Theory of Probability and its Applications
6 Annales de l’Institut Fourier
6 Journal of Physics A: Mathematical and Theoretical
5 Applicable Analysis
5 Journal of Computational and Applied Mathematics
5 Osaka Journal of Mathematics
5 Constructive Approximation
5 Neural Networks
5 Communications in Partial Differential Equations
5 Journal of Mathematical Sciences (New York)
5 Electronic Journal of Statistics
4 Inventiones Mathematicae
4 Journal of Statistical Planning and Inference
4 Mathematische Nachrichten
4 Memoirs of the American Mathematical Society
4 Advances in Applied Mathematics
4 Acta Applicandae Mathematicae
4 Communications in Statistics. Theory and Methods
4 Linear Algebra and its Applications
4 Computational Statistics and Data Analysis
4 Journal of High Energy Physics
4 Journal of Machine Learning Research (JMLR)
4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
3 Indian Journal of Pure & Applied Mathematics
3 Physica A
3 Physics Letters. A
3 Physics Reports
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 Acta Mathematicae Applicatae Sinica. English Series
3 Journal of the American Mathematical Society
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 Central European Journal of Mathematics
3 Boundary Value Problems
3 Waves in Random and Complex Media
2 Metrika
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 Nonlinear Analysis. Theory, Methods & Applications. 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
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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)

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