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D-Index & Metrics

Mathematics

D-Index
36
Citations
12248
World Ranking
2572
National Ranking
2

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society

Overview

Leonid Pastur is affiliated with the B Verkin Institute for Low Temperature Physics and Engineering in Ukraine. Their research contributions span primarily the field of Physics and Astronomy, with a substantive focus on subfields such as Statistical and Nonlinear Physics, Atomic and Molecular Physics and Optics, Artificial Intelligence, Mathematical Physics, and Statistics and Probability.

The scientist's work covers several main topics including Statistical Mechanics and Entropy, Random Matrices and Applications, Quantum Many-Body Systems, Quantum Information and Cryptography, Quantum Mechanics and Applications, Quantum Computing Algorithms and Architecture, and Advanced Thermodynamics and Statistical Mechanics.

Leonid Pastur has published in multiple venues, some of the most frequent being:

  • arXiv (Cornell University)
  • Low Temperature Physics
  • Zurnal matematiceskoj fiziki analiza geometrii
  • Random Matrices Theory and Application
  • Reviews in Mathematical Physics

Selected recent papers include:

  • On Random Matrices Arising in Deep Neural Networks. Gaussian Case (2020, arXiv (Cornell University))
  • On random matrices arising in deep neural networks: General I.I.D. case (2022, Random Matrices Theory and Application)
  • Dynamics of two qubits in common environment (2020, Reviews in Mathematical Physics)
  • Accumulation of spin-polarized states of charge carriers and a spintronic battery (2020, Low Temperature Physics)
  • One-dimensional narrow-band conductors (2021, Low Temperature Physics)

Among frequent coauthors, Leonid Pastur has collaborated multiple times with:

  • V. V. Slavin
  • E. N. Bratus'
  • Gleb Oshanin
  • Pascal Viot

Their publication record demonstrates engagement with interdisciplinary topics combining physics, mathematics, and aspects of artificial intelligence.

Leonid Pastur was recognized as a Fellow of the American Mathematical Society in 2013.

Best Publications

  • DISTRIBUTION OF EIGENVALUES FOR SOME SETS OF RANDOM MATRICES

    V A Marčenko;L A Pastur

  • Introduction to the Theory of Disordered Systems

    I. M. Lifshit︠s︡;S. A. Gredeskul;L. A. Pastur;Eugene Yankovsky

  • Spectra of Random and Almost-Periodic Operators

    Leonid Pastur;Alexander Figotin

  • Eigenvalue Distribution of Large Random Matrices

    Leonid Pastur;Mariya Shcherbina

  • On the spectrum of random matrices

    L. A. Pastur

  • Spectra of Random Self Adjoint Operators

    L A Pastur

  • Spectral properties of disordered systems in the one-body approximation

    L. A. Pastur

  • A pure point spectrum of the stochastic one-dimensional schrödinger operator

    I. Ya. Gol'dshtein;S. A. Molchanov;L. A. Pastur

  • CENTRAL LIMIT THEOREM FOR LINEAR EIGENVALUE STATISTICS OF RANDOM MATRICES WITH INDEPENDENT ENTRIES

    A. Lytova;L. Pastur

  • A New Approach for Mutual Information Analysis of Large Dimensional Multi-Antenna Channels

    W. Hachem;O. Khorunzhiy;P. Loubaton;J. Najim

  • Asymptotic properties of large random matrices with independent entries

    Alexei M. Khorunzhy;Boris A. Khoruzhenko;Leonid A. Pastur

  • Universality of the Local Eigenvalue Statistics for a Class of Unitary Invariant Random Matrix Ensembles

    L. Pastur;L. Pastur;M. Shcherbina

  • Absence of self-averaging of the order parameter in the Sherrington-Kirkpatrick model

    L. A. Pastur;M. V. Shcherbina

  • On the statistical mechanics approach in the random matrix theory: Integrated density of states

    A. Boutet de Monvel;L. Pastur;M. Shcherbina

  • On Asymptotic Properties of Large Random Matrices with Independent Entries

    Alexei M. Khorunzhy;Boris A. Khoruzhenko;Leonid A. Pastur

  • A New Approach for Capacity Analysis of Large Dimensional Multi-Antenna Channels

    Walid Hachem;Oleksiy Khorunzhiy;Philippe Loubaton;Jamal Najim

  • Bulk Universality and Related Properties of Hermitian Matrix Models

    L. Pastur;M. Shcherbina

  • On the Law of Addition of Random Matrices

    L. Pastur;V. Vasilchuk

  • Limiting laws of linear eigenvalue statistics for Hermitian matrix models

    L. Pastur

  • On the 1/n Expansion for Some Unitary Invariant Ensembles of Random Matrices

    S. Albeverio;L. Pastur;M. Shcherbina

Frequent Co-Authors

Joel L. Lebowitz
Joel L. Lebowitz Rutgers, The State University of New Jersey
Stanislav Molchanov
Stanislav Molchanov University of North Carolina at Charlotte
Alain Pajor
Alain Pajor Université Paris Cité
Philippe Loubaton
Philippe Loubaton Université Paris Cité
S. P. Novikov
S. P. Novikov Russian Academy of Sciences
Sergio Albeverio
Sergio Albeverio University of Bonn
Yakov G. Sinai
Yakov G. Sinai Princeton University
Alexander Its
Alexander Its Indiana University – Purdue University Indianapolis
Michael Baake
Michael Baake Bielefeld University
Vladimir E. Zakharov
Vladimir E. Zakharov Landau Institute for Theoretical Physics

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