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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.; 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

Publications by Year

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 0752.47002
Pastur, Leonid; Figotin, Alexander
261
1992
Distribution of eigenvalues for some sets of random matrices. Zbl 0162.22501
Marchenko, V. A.; Pastur, L. A.
203
1968
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
Eigenvalue distribution of large random matrices. Zbl 1244.15002
Pastur, Leonid; Shcherbina, Mariya
97
2011
Spectral properties of disordered systems in the one-body approximation. Zbl 0429.60099
Pastur, L. A.
92
1980
Distribution of eigenvalues in certain sets of random matrices. Zbl 0152.16101
Marchenko, V. A.; Pastur, L. A.
92
1967
Spectra of random self adjoint operators. Zbl 0277.60049
Pastur, L. A.
68
1973
Central limit theorem for linear eigenvalue statistics of random matrices with independent entries. Zbl 1180.15029
Lytova, A.; Pastur, L.
66
2009
Asymptotic properties of large random matrices with independent entries. Zbl 0866.15014
Khorunzhy, 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 0916.15009
Pastur, L.; Shcherbina, M.
56
1997
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.
55
1995
On the \(1/n\) expansion for some unitary invariant ensembles of random matrices. Zbl 1038.82039
Albeverio, S.; Pastur, L.; Shcherbina, M.
35
2001
Bulk universality and related properties of Hermitian matrix models. Zbl 1136.15015
Pastur, L.; Shcherbina, M.
34
2008
Limiting laws of linear eigenvalue statistics for Hermitian matrix models. Zbl 1112.82022
Pastur, L.
28
2006
On the law of addition of random matrices. Zbl 1039.82020
Pastur, L.; Vasilchuk, V.
25
2000
An exactly solvable model of a multidimensional incommensurate structure. Zbl 0582.35101
Figotin, 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 1178.15023
Pajor, A.; Pastur, L.
20
2009
The replica-symmetric solution without replica trick for the Hopfield model. Zbl 0835.60092
Pastur, 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 0353.60053
Pastur, L. A.
19
1977
Limiting eigenvalue distribution for band random matrices. Zbl 0794.15011
Molchanov, S. A.; Pastur, L. A.; Khorunzhij, A. M.
18
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 spectrum of the one-dimensional Schrödinger equation with a random potential. Zbl 0216.37301
Benderskij, M. M.; Pastur, L. A.
16
1971
On the distribution of the eigenvalues of the Schrödinger equation with a random potential. Zbl 0252.35051
Pastur, L. A.
15
1972
A simple approach to the global regime of Gaussian ensembles of random matrices. Zbl 1102.82015
Pastur, L. A.
14
2005
Spectral and probabilistic aspects of matrix models. Zbl 0844.15009
Pastur, L. A.
14
1996
On the eigenvalue distribution of the deformed Wigner ensemble of random matrices. Zbl 0813.60036
Khorunzhy, A. M.; Pastur, L. A.
14
1994
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 density of the states of band random matrices. Zbl 0762.60015
Bogachev, L. V.; Molchanov, S. A.; Pastur, L. A.
12
1991
A new approach for mutual information analysis of large dimensional multi-antenna channels. Zbl 1322.94003
Hachem, Walid; Khorunzhiy, Oleksiy; Loubaton, Philippe; Najim, Jamal; Pastur, Leonid
11
2008
On the edge universality of the local eigenvalue statistics of matrix models. Zbl 1064.60011
Pastur, L.; Shcherbina, M.
11
2003
Limits of infinite interaction radius, dimensionality and the number of components for random operators with off-diagonal randomness. Zbl 0772.60046
Khorunzhy, A. M.; Pastur, L. A.
11
1993
Spectral theory of Schrödinger operators with periodic complex-valued potentials. Zbl 0717.34096
Pastur, 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 0555.39002
Figotin, A. L.; Pastur, L. A.
10
1984
The localization of surface states: an exactly solvable model. Zbl 1001.82526
Khoruzhenko, Boris A.; Pastur, Leonid A.
9
1997
On the spectral theory of the one-dimensional Schrödinger operator with a limit-periodic potential. Zbl 0596.34010
Pastur, 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 0433.35072
Pastur, L. A.; Figotin, A. L.
9
1978
Fluctuations of matrix elements of regular functions of Gaussian random matrices. Zbl 1161.60007
Lytova, A.; Pastur, L.
8
2009
One dimensional Schrödinger operators with high potential barriers. Zbl 0883.34078
Kirsch, W.; Molchanov, S. A.; Pastur, L. A.
8
1992
On the universality of the level spacing distribution for some ensembles of random matrices. Zbl 0758.15017
Pastur, L. A.
8
1992
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
Large block properties of the entanglement entropy of free disordered fermions. Zbl 1361.82017
Elgart, A.; Pastur, L.; Shcherbina, M.
7
2017
On the moments of traces of matrices of classical groups. Zbl 1102.60001
Pastur, L.; Vasilchuk, V.
7
2004
On completeness of random exponentials in the Bargmann-Fock space. Zbl 1009.42005
Chistyakov, G.; Lyubarskii, Yu.; Pastur, L.
7
2001
On the replica symmetric equations for the Hopfield model. Zbl 0988.82024
Pastur, L.; Shcherbina, M.; Tirozzi, B.
7
1999
On the analogues of Szegő’s theorem for ergodic operators. Zbl 1312.47051
Kirsch, W.; Pastur, L. A.
6
2015
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 the propagation properties of surface waves. Zbl 0905.65107
Jakšić, V.; Molchanov, S.; Pastur, L.
6
1998
On the level density of random band matrices. Zbl 0778.60008
Bogachev, 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 0781.34054
Pastur, L. A.; Tkachenko, V. A.
6
1991
An inverse problem for a class of one-dimensional Schrödinger operators with a complex periodic potential. Zbl 0739.34022
Pastur, L. A.; Tkachenko, V. A.
6
1990
Spectral theory of self-adjoint random operators. Zbl 0661.60079
Pastur, 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 0413.60055
Pastur, L. A.
6
1978
Condensation in a disordered infinite-range hopping Bose-Hubbard model. Zbl 1117.82010
Dorlas, T. C.; Pastur, L. A.; Zagrebnov, V. A.
5
2006
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
On asymptotic properties of certain orthogonal polynomials. Zbl 0897.33007
Albeverio, 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 1390.82017
Pastur, L.; Slavin, V.
4
2018
Examples of multidimensional, almost periodic operators, whose point and continuous spectra intersect. Zbl 0723.47001
Pastur, L. A.; Figotin, A. L.
4
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
Central limit theorem for linear eigenvalue statistics of the Wigner and the sample covariance random matrices. Zbl 1433.60015
Lytova, Anna; Pastur, Leonid
3
2009
On asymptotic behavior of multilinear eigenvalue statistics of random matrices. Zbl 1161.82010
Lytova, A.; Pastur, L.
3
2008
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
Spektren zufälliger selbstadjungierter Operatoren. Zbl 0268.60034
Pastur, L. A.
3
1973
Über die Schrödingergleichung mit zufälligem Potential. Zbl 0208.12903
Pastur, L. A.
3
1971
How much delocalisation is needed for an enhanced area law of the entanglement entropy? Zbl 1439.81023
Müller, 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 1323.60015
Guédon, 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 1132.15021
Pastur, L.; Vasilchuk, V.
2
2007
Quasi 1D localization: deterministic and random potentials. Zbl 1213.82048
Kirsch, W.; Molchanov, S.; Pastur, L.; Vainberg, B.
2
2003
Random matrices: asymptotic eigenvalue statistics. Zbl 1175.15029
Pastur, Leonid; Lejay, Antoine
2
2003
Random matrices as paradigm. Zbl 1017.82023
Pastur, L.
2
2000
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
Eigenvalue distribution of random matrices: Some recent results. Zbl 0853.15021
Pastur, L.
2
1996
Examples of random Schrödinger-type operators with non-Poissonian spectra. Zbl 1336.60129
Molchanov, S.; Pastur, L.; Ray, E.
1
2015
On a limiting distribution of singular values of random band matrices. Zbl 1360.60020
Lytova, A.; Pastur, L.
1
2015
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
O a random matrix model of quantum relaxation. Zbl 1141.82008
Lebowitz, J. L.; Lytova, A.; Pastur, L.
1
2007
Spectral analysis of the generalized surface Maryland model. Zbl 1093.82009
Bentosela, F.; Briet, Ph.; Pastur, L.
1
2005
A random matrix model of relaxation. Zbl 1138.82353
Lebowitz, J. L.; Pastur, L.
1
2004
Surveys in Applied Mathematics. Vol. 2. Zbl 0834.00017
Freidlin, 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 0839.15019
Pastur, L. A.; Shcherbina, M. V.
1
1994
Statistical physics and spectral theory of disordered systems: Some recent developments. Zbl 0947.82506
Pastur, L. A.
1
1992
Schrödinger operator with a nonlocal potential whose absolutely continuous and point spectra coexist. Zbl 0713.35062
Figotin, A. L.; Pastur, L. A.
1
1990
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
On the spectral theory of Schrödinger operators with periodic complex- valued potentials. Zbl 0658.34016
Pastur, L. A.; Tkachenko, V. A.
1
1988
Ergodic properties of the distribution of the eigenvalues of certain classes of random self-adjoint operators. Zbl 0544.35091
Pastur, L. A.; Figotin, A. L.
1
1984
How much delocalisation is needed for an enhanced area law of the entanglement entropy? Zbl 1439.81023
Müller, 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 1390.82017
Pastur, L.; Slavin, V.
4
2018
Large block properties of the entanglement entropy of free disordered fermions. Zbl 1361.82017
Elgart, A.; Pastur, L.; Shcherbina, M.
7
2017
On the analogues of Szegő’s theorem for ergodic operators. Zbl 1312.47051
Kirsch, W.; Pastur, L. A.
6
2015
Examples of random Schrödinger-type operators with non-Poissonian spectra. Zbl 1336.60129
Molchanov, S.; Pastur, L.; Ray, E.
1
2015
On a limiting distribution of singular values of random band matrices. Zbl 1360.60020
Lytova, A.; Pastur, L.
1
2015
The central limit theorem for linear eigenvalue statistics of the sum of independent random matrices of rank one. Zbl 1323.60015
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
97
2011
Central limit theorem for linear eigenvalue statistics of random matrices with independent entries. Zbl 1180.15029
Lytova, A.; Pastur, L.
66
2009
On the limiting empirical measure of eigenvalues of the sum of rank one matrices with log-concave distribution. Zbl 1178.15023
Pajor, A.; Pastur, L.
20
2009
Fluctuations of matrix elements of regular functions of Gaussian random matrices. Zbl 1161.60007
Lytova, A.; Pastur, L.
8
2009
Central limit theorem for linear eigenvalue statistics of the Wigner and the sample covariance random matrices. Zbl 1433.60015
Lytova, Anna; Pastur, Leonid
3
2009
Bulk universality and related properties of Hermitian matrix models. Zbl 1136.15015
Pastur, L.; Shcherbina, M.
34
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
11
2008
On asymptotic behavior of multilinear eigenvalue statistics of random matrices. Zbl 1161.82010
Lytova, A.; Pastur, L.
3
2008
On the law of addition of random matrices: covariance and the central limit theorem for traces of resolvent. Zbl 1132.15021
Pastur, L.; Vasilchuk, V.
2
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.
28
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
From random matrices to quasi-periodic Jacobi matrices via orthogonal polynomials. Zbl 1118.15023
Pastur, L.
5
2006
A simple approach to the global regime of Gaussian ensembles of random matrices. Zbl 1102.82015
Pastur, L. A.
14
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.
1
2004
On the edge universality of the local eigenvalue statistics of matrix models. Zbl 1064.60011
Pastur, L.; Shcherbina, M.
11
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
Quasi 1D localization: deterministic and random potentials. Zbl 1213.82048
Kirsch, W.; Molchanov, S.; Pastur, L.; Vainberg, B.
2
2003
Random matrices: asymptotic eigenvalue statistics. Zbl 1175.15029
Pastur, Leonid; Lejay, Antoine
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.
35
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.
25
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.
7
1999
On the propagation properties of surface waves. Zbl 0905.65107
Jakšić, V.; Molchanov, S.; Pastur, L.
6
1998
Asymptotics of the interband light absorption coefficient near the band edge for an alloy-type model. Zbl 1079.82536
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.
56
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.
59
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.
55
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
Freidlin, 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 0835.60092
Pastur, L.; Shcherbina, M.; Tirozzi, B.
20
1994
On the eigenvalue distribution of the deformed Wigner ensemble of random matrices. Zbl 0813.60036
Khorunzhy, A. M.; Pastur, L. A.
14
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
261
1992
Limiting eigenvalue distribution for band random matrices. Zbl 0794.15011
Molchanov, S. A.; Pastur, L. A.; Khorunzhij, A. M.
18
1992
One dimensional Schrödinger operators with high potential barriers. Zbl 0883.34078
Kirsch, W.; Molchanov, S. A.; Pastur, L. A.
8
1992
On the universality of the level spacing distribution for some ensembles of random matrices. Zbl 0758.15017
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.
12
1991
On the level density of random band matrices. Zbl 0778.60008
Bogachev, 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 0781.34054
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.
6
1990
Examples of multidimensional, almost periodic operators, whose point and continuous spectra intersect. Zbl 0723.47001
Pastur, L. A.; Figotin, A. L.
4
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
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.
1
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.
10
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.
22
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.
10
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.
9
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.
92
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.
9
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.
19
1977
Spectra of random self adjoint operators. Zbl 0277.60049
Pastur, L. A.
68
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.
15
1972
On the spectrum of the one-dimensional Schrödinger equation with a random potential. Zbl 0216.37301
Benderskij, M. M.; Pastur, L. A.
16
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.
203
1968
Distribution of eigenvalues in certain sets of random matrices. Zbl 0152.16101
Marchenko, V. A.; Pastur, L. A.
92
1967
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. New Series
7 St. Petersburg Mathematical Journal
6 Theory of Probability and its Applications
6 Annales de l’Institut Fourier
6 Journal of Differential Equations
6 Ergodic Theory and Dynamical Systems
6 Journal of Statistical Mechanics: Theory and Experiment
6 Journal of Physics A: Mathematical and Theoretical
5 Applicable Analysis
5 Journal of Computational and Applied Mathematics
5 Journal of Statistical Planning and Inference
5 Constructive Approximation
5 Communications in Partial Differential Equations
5 Linear Algebra and its Applications
5 Journal of Mathematical Sciences (New York)
5 Journal of Spectral Theory
4 Physics Reports
4 Inventiones Mathematicae
4 Mathematische Nachrichten
4 Memoirs of the American Mathematical Society
4 Osaka Journal of Mathematics
4 Acta Applicandae Mathematicae
4 Computational Statistics and Data Analysis
4 Journal of High Energy Physics
4 Quantitative Finance
4 SIGMA. 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