World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
36
Citations
12248
World Ranking
2573
National Ranking
2

Leonid Pastur publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Leonid Pastur sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 185 publications — 56th percentile

56% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Leonid Pastur D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Leonid Pastur sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 36 D-Index — 29th percentile

29% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

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
Sondipon Adhikari
Sondipon Adhikari University of Glasgow
Philippe Loubaton
Philippe Loubaton Université Paris Cité
Alain Pajor
Alain Pajor Université Paris Cité
S. P. Novikov
S. P. Novikov Russian Academy of Sciences
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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