L. Eonid A. Pastur

L. Eonid A. Pastur's AcademicInfluence.com Rankings

L. Eonid A. Pastur

Physics

#4900

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#6648

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physics Degrees

L. Eonid A. Pastur

Mathematics

#5997

World Rank

#8375

Historical Rank

Probability Theory

#76

World Rank

#99

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Measure Theory

#1058

World Rank

#1360

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mathematics Degrees

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Mathematics

Why Is L. Eonid A. Pastur Influential?

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L. Eonid A. Pastur's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

DISTRIBUTION OF EIGENVALUES FOR SOME SETS OF RANDOM MATRICES (1967) (2235)
Introduction to the Theory of Disordered Systems (1988) (1236)
Spectra of Random and Almost-Periodic Operators (1991) (881)
Eigenvalue Distribution of Large Random Matrices (2011) (406)
Spectral properties of disordered systems in the one-body approximation (1980) (294)
On the spectrum of random matrices (1972) (289)
A pure point spectrum of the stochastic one-dimensional schrödinger operator (1977) (259)
CENTRAL LIMIT THEOREM FOR LINEAR EIGENVALUE STATISTICS OF RANDOM MATRICES WITH INDEPENDENT ENTRIES (2008) (248)
Asymptotic properties of large random matrices with independent entries (1996) (221)
Universality of the local eigenvalue statistics for a class of unitary invariant random matrix ensembles (1997) (205)
Spectra of Random Self Adjoint Operators (1973) (194)
A New Approach for Mutual Information Analysis of Large Dimensional Multi-Antenna Channels (2008) (160)
On the statistical mechanics approach in the random matrix theory: Integrated density of states (1995) (151)
Absence of self-averaging of the order parameter in the Sherrington-Kirkpatrick model (1991) (121)
On the 1/n Expansion for Some Unitary Invariant Ensembles of Random Matrices (2001) (98)
Bulk Universality and Related Properties of Hermitian Matrix Models (2007) (90)
A New Approach for Capacity Analysis of Large Dimensional Multi-Antenna Channels (2006) (86)
On the Law of Addition of Random Matrices (2000) (81)
Limiting laws of linear eigenvalue statistics for Hermitian matrix models (2006) (78)
Behavior of some Wiener integrals as t→∞ and the density of states of Schrödinger equations with random potential (1977) (72)
Theory of disordered spin systems (1978) (67)
An exactly solvable model of a multidimensional incommensurate structure (1984) (63)
ON THE SPECTRUM OF THE ONE-DIMENSIONAL SCHRÖDINGER EQUATION WITH A RANDOM POTENTIAL (1970) (62)
On the limiting empirical measure of eigenvalues of the sum of rank one matrices with log-concave distribution (2009) (58)
The replica-symmetric solution without replica trick for the Hopfield model (1994) (55)
A Simple Approach to the Global Regime of Gaussian Ensembles of Random Matrices (2005) (53)
Limits of infinite interaction radius, dimensionality and the number of components for random operators with off-diagonal randomness (1993) (52)
Limiting eigenvalue distribution for band random matrices (1992) (51)
Area law scaling for the entropy of disordered quasifree fermions. (2014) (49)
Spectral and probabilistic aspects of matrix models (1996) (48)
On the level density of random band matrices (1991) (45)
Lifshitz Tails for Random Schrödinger Operators¶with Negative Singular Poisson Potential (1999) (38)
On the edge universality of the local eigenvalue statistics of matrix models (2003) (37)
Phase transitions in quantum models of rotators and ferroelectrics (1987) (37)
On the Moments of Traces of Matrices of Classical Groups (2004) (34)
On the propagation properties of surface waves (1998) (33)
Large Block Properties of the Entanglement Entropy of Free Disordered Fermions (2016) (32)
Fluctuations of Matrix Elements of Regular Functions of Gaussian Random Matrices (2009) (31)
On the Schrödinger equation with a random potential (1971) (31)
On the universality of the level spacing distribution for some ensembles of random matrices (1992) (31)
RANDOM MATRICES AS PARADIGM (2000) (30)
One-dimensional Schrödinger operator with unbounded potential: The pure point spectrum (1990) (30)
On the 1/N corrections to the Green functions of random matrices with independent entries (1995) (29)
On the self-consistent theory of localization (1984) (28)
Bose–Einstein condensation in random potentials (2004) (27)
On the distribution of the eigenvalues of the Schrödinger equation with a random potential (1972) (26)
Disordered spherical model (1982) (24)
On the spectral and wave propagation properties of the surface Maryland model (2002) (24)
Limiting Laws of Linear Eigenvalue Statistics for Unitary Invariant Matrix Models (2006) (23)
On the Limiting Empirical Measure of the sum of rank one matrices with log-concave distribution (2007) (22)
One-dimensional Schrodinger operator with high potential barrier (1992) (22)
Spectral theory of Schrödinger operators with periodic complex-valued potentials (1988) (22)
Two-dimensional optical architectures for the receive mode of phased-array antennas. (1999) (21)
On Random Matrices Arising in Deep Neural Networks. Gaussian Case (2020) (21)
On the Mott formula for the ac conductivity and binary correlators in the strong localization regime of disordered systems (2003) (20)
How Much Delocalisation is Needed for an Enhanced Area Law of the Entanglement Entropy? (2019) (20)
AN INVERSE PROBLEM FOR A CLASS OF ONE-DIMENSIONAL SCHRÖDINGER OPERATORS WITH A COMPLEX PERIODIC POTENTIAL (1991) (19)
Non-Gaussian Limiting Laws for the Entries of Regular Functions of the Wigner Matrices (2011) (18)
On completeness of random exponentials in the Bargmann-Fock space (2001) (18)
On the analogues of Szegő's theorem for ergodic operators (2015) (18)
THE LOCALIZATION OF SURFACE STATES : AN EXACTLY SOLVABLE MODEL (1997) (17)
On the replica symmetric equations for the Hopfield model (1999) (17)
A random matrix model of relaxation (2003) (16)
Behavior of the density of states in one-dimensional disordered systems near the edges of the spectrum (1975) (15)
On the Area Law for Disordered Free Fermions (2014) (14)
Eigenvalue density of linear stochastic dynamical systems: A random matrix approach (2012) (14)
The positivity of the Lyapunov exponent and the absence of the absolutely continuous spectrum for the almost‐Mathieu equation (1984) (14)
A Simple Approach to Global Regime of the Random Matrix Theory (1999) (14)
From random matrices to quasi-periodic Jacobi matrices via orthogonal polynomials (2005) (14)
Geometry of the spectrum of the one-dimensional Schrödinger equation with a periodic complex-valued potential (1991) (14)
Spectral theory of Kirkwood-Salzburg equations in a finite volume (1974) (14)
The Absence of the Selfaveraging Property of the Entanglement Entropy of Disordered Free Fermions in One Dimension (2017) (13)
Condensation in a Disordered Infinite-Range Hopping Bose–Hubbard Model (2006) (12)
Singular interaction potentials in classical statistical mechanics (1978) (11)
On Asymptotic Behavior of Multilinear Eigenvalue Statistics of Random Matrices (2008) (10)
Eigenvalue distribution of random matrices : some recent results (1996) (10)
Spectral theory of random self-adjoint operators (1989) (10)
The large-time asymptotics of some wiener integrals and the interband light absorption coefficient in the deep fluctuation spectrum (1990) (9)
Wave transmittance for a thick layer of a randomly inhomogeneous medium (1975) (9)
Infinite-range limit for correlation functions of lattice systems (1984) (9)
The interband light absorption coefficient in the weak disorder regime: an asymptotically exactly solvable model (1994) (9)
The Central Limit Theorem for Linear Eigenvalue Statistics of the Sum of Independent Matrices of Rank One (2013) (9)
Backscattering Enhancement by an Impedance Rough Surface (1991) (8)
Almost-Periodic Operators (1992) (8)
Infinite-range limit for a class of disordered spin systems (1982) (8)
On Random Matrices Arising in Deep Neural Networks: General I.I.D. Case (2020) (8)
A Class of the Multi-Interval Eigenvalue Distributions of Matrix Models and Related Structures (2002) (8)
On the equilibrium state of a small system with random matrix coupling to its environment (2015) (7)
Szego-Type Theorems for One-Dimensional Schrodinger Operator with Random Potential (Smooth Case) (2018) (6)
On the qubits dynamics in random matrix environment (2018) (6)
Calculation of the Average Number of States in a Model Problem (1969) (6)
SPECTRAL ANALYSIS OF THE GENERALIZED SURFACE MARYLAND MODEL (2005) (5)
Schrödinger operator with a nonlocal potential whose absolutely continuous and point spectra coexist (1990) (5)
Spectral Theory and Differential Equations (2014) (5)
A limit theorem for sums of exponentials (1989) (5)
Central limit theorem for linear eigenvalue statistics of the Wigner and the sample covariance random matrices (2009) (5)
Spectral characteristics of the impurity band in the structural disorder model (1985) (5)
Transmission of waves and particles through long random barriers (1986) (5)
Ground state of one-dimension repulsing particles on disordered lattice (2014) (4)
On a Heuristic Expansion Method in the Strong Localization Regime of the Theory of Disordered Systems (2000) (4)
Surface waves: Propagation and localization (1995) (4)
Surveys in Applied Mathematics (1995) (4)
Asymptotics of the Interband Light Absorption Coefficient near the Band Edge for an Alloy-Type Model (1998) (4)
On connections between the theory of random operators and the theory of random matrices (2012) (4)
The Shannon's mutual information of a multiple antenna time and frequency dependent channel: an ergodic operator approach (2015) (4)
On the spectrum of nonself-adjoint Zakharov–Shabat operators on R (2014) (3)
On Some Asymptotic Formulas in the Strong Localization Regime of the Theory of Disordered Systems (1999) (3)
Particle and Wave Transmission in One-Dimensional Disordered Systems (1995) (3)
Quantum dynamics of quasiparticles in a stochastic field and nonlinear dissipation of wave packets (1988) (3)
Dynamics of quasiparticles in a nonstationary random field (1988) (3)
Works of I. M. Lifshitz on disordered systems (1985) (3)
On a Random Matrix Models of Quantum Relaxation (2007) (3)
LETTER TO THE EDITOR: On the asymptotic behaviour of correlators of multi-cut matrix models (2001) (3)
Eigenvalue distribution of random operators and matrices (1992) (2)
On a Limiting Distribution of Singular Values of Random Band Matrices (2015) (2)
Asymptotic properties of polynomials orthogonal with respect to varying weights, and related topics of spectral theory (2014) (2)
Polarization of a vacuum by a stochastic field and phase transitions in relativistic systems (1989) (2)
Unitary matrix models (2011) (2)
Statistical Physics and Spectral Theory of Disordered Systems: Some Recent Developments (1992) (2)
ERRATUM: Disordered spherical model (1983) (2)
Dynamics of two qubits in common environment (2020) (2)
One-dimensional narrow-band conductors (2021) (2)
Transmission properties of random point scatterers for waves with two-band dispersion law (1990) (2)
The Central Limit Theorem for Linear Eigenvalue Statistics of the Sum of Rank One Projections on Vectors with Log-concave Distribution (2013) (2)
Large Time Behaviour of Moments of Fundamental Solutions of the Random Parabolic Equation (1991) (2)
Mikhail Iosifovich Kadets (on his seventieth birthday) (1994) (1)
The Erwin Schrr Odinger International Institute for Mathematical Physics on Asymptotic Properties of Certain Orthogonal Polynomials on Asymptotic Properties of Certain Orthogonal Polynomials (2009) (1)
Thomas precession, persistent spin currents and quantum forces (2013) (1)
On the semiphenomenological approach in the localization theory (1992) (1)
One-Dimensional Localization and Wave Propagation in Linear and Nonlinear Media (1992) (1)
Density of states near the fluctuation boundary of the spectrum of one-dimensional incommensurable structures (1985) (1)
Accumulation of spin-polarized states of charge carriers and a spintronic battery (2020) (1)
Correction to: How Much Delocalisation is Needed for an Enhanced Area Law of the Entanglement Entropy? (2020) (1)
Large-n limit of the Heisenberg model: The decorated lattice and the disordered chain (1989) (1)
Spectral Properties of Random and Almost Periodic Differential and Finite-Difference Operators (1985) (1)
Eigenvalue Distribution of Large Random Matrices Arising in Deep Neural Networks: Orthogonal Case (2022) (1)
Large time behaviour of moments of solution of parabolic differential equations with random coefficients (1991) (1)
Schrödinger operator with a nonlocal potential whose absolutely continuous and point spectra coexist (1991) (1)
Double heterodyne filtering of received signals in optically time-delay controlled antennas (1998) (1)
Absence of Self-Averaging of the Order in the Sherrington-Kirkpatrick Model (1991) (1)
Mikhail Shlemovich Birman (obituary) (2010) (1)
Lyapunov Exponents and the Spectrum in One Dimension (1992) (0)
Anatolii Mykhailovych Samoilenko (on his 80th birthday) (2018) (0)
How Much Delocalisation is Needed for an Enhanced Area Law of the Entanglement Entropy? (2019) (0)
Iosif Vladimirovich Ostrovskii (on his sixtieth birthday) (1995) (0)
Universality for real symmetric matrix models (2011) (0)
On the Thermodynamic Limit for Disordered Spin Systems (2004) (0)
Gaussian ensembles: Semicircle law (2011) (0)
Inverse spectral problem for the Hill operator on the graph with a loop (2020) (0)
Effect of winding edge currents (2012) (0)
Classical compact groups ensembles: Global regime (2011) (0)
Bulk universality for Hermitian matrix models (2011) (0)
The ground state structure of electron's ensemble on one-dimension disordered lattice (2013) (0)
Energy spectrum of quasiparticles in one-dimensional disordered systems /Review/ (1975) (0)
Wave transmission coefficients for one-dimensional random barriers (1989) (0)
Extremely strong convergence of eigenvalue-density of linear stochastic dynamical systems (2011) (0)
The Law of Multiplication of Large Random Matrices Revisited (2023) (0)
Time and frequency selective Ricean MIMO capacity: An ergodic operator approach (2016) (0)
Limits of Infinite Order, Dimensionality or Number of Components for Random Finite-Difference Operators (1994) (0)
Chronicle: The last accomplishment of B. I. Verkin (2021) (0)
On ballistic transport in channels with negative refraction of particles (2018) (0)
On the existence and continuity of the pressure in quantum statistical mechanics (1973) (0)
Gaussian ensembles: Joint eigenvalue distribution and related results (2011) (0)
The Absence of the Selfaveraging Property of the Entanglement Entropy of Disordered Free Fermions in One Dimension (2017) (0)
Sample covariance and related matrices (2011) (0)
COMMUNICATIONS OF THE MOSCOW MATHEMATICAL SOCIETY: The coefficient of wave propagation through a one-dimensional random medium (1985) (0)
Polarization of the vacuum by a stochastic external field (1988) (0)
Matrices with Gaussian correlated entries (2011) (0)
Absolutely continuous spectrum and scattering in the surface Maryland model (2001) (0)
Integrated Density of States in One-Dimensional Problems of Second Order (1992) (0)
ON SPECTRAL PROPERTIES OF -ADIC PSEUDODIFFERENTIAL OPERATORS OF SCHRÖDINGER TYPE (2017) (0)
All Russian mathematical portal (2019) (0)
On the eigenvalue distribution of the Schrödinger operator whose potential is the sum of a slowly growing and a bounded function (1993) (0)
Asymptotics of Orthogonal Polynomials, Quasiperiodic Jacobi Matrices, and Random Matrices (2007) (0)
Leonid Andreevich Pastur (on his 60th birthday) (1998) (0)
The infinite component limit of the random anisotropy n-vector model (1994) (0)
Vladimir Savel'evich Buslaev (obituary) (2014) (0)
Stanislav Alekseevich Molchanov (2021) (0)
Jacobi matrices and limiting laws for linear eigenvalue statistics (2011) (0)
Universality for special points of Hermitian matrix models (2011) (0)
Limit Theorems for Linear Eigenvalue Statistics of Matrix Models (2005) (0)
The Dynamics of Quantum Correlations of Two Qubits in a Common Environment (2020) (0)
On the Limit Distribution of the Canonical Correlation Coefficients Between the Past and the Future of a High-Dimensional White Noise (2020) (0)
A Random Matrix Models of Relaxation (0)
Anatolii Mykhailovych Samoilenko (on his 80th birthday) (2018) (0)
Classical compact group ensembles: Further results (2011) (0)
Asymptotic Behavior of the Integrated Density of States at Spectral Boundaries in Multidimensional Problems (1992) (0)
Correction to: How Much Delocalisation is Needed for an Enhanced Area Law of the Entanglement Entropy? (2020) (0)
Asymptotic Properties of Metrically Transitive Matrix and Differential Operators (1992) (0)
Vladimir Aleksandrovich Marchenko (on his 90th birthday) (2012) (0)
Gaussian ensembles: Central Limit Theorem for linear eigenvalue statistics (2011) (0)
A generalization of the local pair model (1987) (0)
Rigorously solvable model of spin glass (1977) (0)
Volodymyr Oleksandrovych Marchenko (on his 70th birthday) (1992) (0)
Mikhail Iosifovich Kadets (obituary) (2011) (0)
Vacuum instability in a random electric field (1984) (0)
Examples of multidimensional, almost periodic operators, whose point and continuous spectra intersect (1990) (0)
Metrically Transitive Operators (1992) (0)
Mathematics and Physics of Disordered Systems (2004) (0)
Gaussian orthogonal ensemble (2011) (0)
Mark Yakovlevich Azbel (May 12, 1932–March 31, 2020) (2022) (0)
The Kharkov series in physics and mathematics (2009) (0)
Gaussian unitary ensemble (2011) (0)
Aleksandr Yakovlevich Povzner (obituary) (2008) (0)
Bose-Einstein condensates: recent advances in collective effects/Avancées récentes sur les effets collectifs dans les condensats de Bose-Einstein Bose-Einstein condensation in random potentials (2004) (0)
Matrix models: Global regime (2011) (0)
Large Block Properties of the Entanglement Entropy of Free Disordered Fermions (2016) (0)
Wishart and Laguerre ensembles (2011) (0)
Sturm Type Theorems for Differential Equations of Ar- bitrary Order with Operator-Valued Coefficients (2013) (0)
Statistical Mechanics Approach in the Random Theory: Integrated Density of States (1995) (0)

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L. Eonid A. Pastur's Academic­Influence.com Rankings

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L. Eonid A. Pastur's Published Works

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L. Eonid A. Pastur's AcademicInfluence.com Rankings