World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
53
Citations
20454
World Ranking
876
National Ranking
423

Yakov G. Sinai 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 Yakov G. Sinai 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: 307 publications — 86th percentile

86% of scientists in this discipline score the same or lower.

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

Yakov G. Sinai 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 Yakov G. Sinai 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: 53 D-Index — 76th percentile

76% 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

  • 2014 - Abel Prize For his fundamental contributions to dynamical systems, ergodic theory, and mathematical physics.
  • 2013 - Steele Prize for Lifetime Achievement
  • 2013 - Fellow of the American Mathematical Society
  • 2009 - Fellow of the Royal Society, United Kingdom
  • 2008 - Member of Academia Europaea
  • 1996 - Wolf Prize in Mathematics for his fundamental contributions to mathematically rigorous methods in statistical mechanics and the ergodic theory of dynamical systems and their applications in physics.
  • 1990 - Dannie Heineman Prize for Mathematical Physics, American Physical Society and American Institute of Physics
  • 1983 - Fellow of the American Academy of Arts and Sciences

Overview

Yakov G. Sinai is affiliated with Princeton University in the United States and works in the field of mathematics with a focus on mathematical physics and its related disciplines. Their work encompasses several subfields including mathematical physics, condensed matter physics, statistical and nonlinear physics, applied mathematics, and geometry and topology.

The main topics of Sinai's research include:

  • Theoretical and computational physics
  • Stochastic processes and statistical mechanics
  • Advanced thermodynamics and statistical mechanics
  • Navier-Stokes equation solutions
  • Advanced differential equations and dynamical systems
  • Mathematical dynamics and fractals

Recent publications by Sinai highlight contributions to both the theoretical framework and applied aspects of mathematical physics. Some notable papers are:

  • "Proceedings of the XI international conference stochastic and analytic methods in mathematical physics," 2020, Durham Research Online (Durham University)
  • "Statistical Mechanics of Freely Fluctuating Two-Dimensional Elastic Crystals," 2020, Journal of Statistical Physics
  • "Анатолий Михайлович Степин (некролог)," 2022, Успехи математических наук
  • "Mitchell Feigenbaum," 2021, Notices of the American Mathematical Society
  • "Real and complex Li-Sinai solutions of the 3D incompressible Navier-Stokes equations," 2023, Ensaios Matemáticos

Frequent collaborators of Sinai include:

  • O. V. Pochinka
  • А. И. Шафаревич
  • Konstantin Khanin
  • C. Boldrighini
  • S. Frigio

The most common venues where Sinai's research has been published consist of:

  • Успехи математических наук
  • Durham Research Online (Durham University)
  • Journal of Statistical Physics
  • Notices of the American Mathematical Society
  • Ensaios Matemáticos

Throughout their career, Sinai has been recognized with multiple awards, including:

  • Abel Prize, 2014, for fundamental contributions to dynamical systems, ergodic theory, and mathematical physics
  • Steele Prize for Lifetime Achievement, 2013
  • Fellow of the American Mathematical Society, 2013
  • Fellow of the Royal Society, United Kingdom, 2009
  • Member of Academia Europaea, 2008
  • Wolf Prize in Mathematics, 1996, for contributions to mathematically rigorous methods in statistical mechanics and ergodic theory of dynamical systems and their applications in physics
  • Dannie Heineman Prize for Mathematical Physics, 1990
  • Fellow of the American Academy of Arts and Sciences, 1983

Best Publications

  • Ergodic Theory

    I. P. Cornfeld;Y. G. Sinai;S. V. Fomin

  • GIBBS MEASURES IN ERGODIC THEORY

    Yakov G Sinai

  • Dynamical systems with elastic reflections

    Yakov G Sinai

  • Statistical properties of Lorentz gas with periodic configuration of scatterers

    L. A. Bunimovich;Yakov G. Sinai

  • Generalized variational principles, global weak solutions and behavior with random initial data for systems of conservation laws arising in adhesion particle dynamics

    Weinan E;Yu G. Rykov;Yakov G. Sinai

  • Markov partitions and C-diffeomorphisms

    Ya. G. Sinai

  • Spacetime chaos in coupled map lattices

    L A Bunimovich;Ya G Sinai

  • SOME SMOOTH ERGODIC SYSTEMS

    Dmitry V Anosov;Yakov G Sinai

  • Statistical properties of two-dimensional hyperbolic billiards

    L A Bunimovich;Yakov G Sinai;N I Chernov

  • Markov partitions for dispersed billiards

    L. A. Bunimovich;Ya. G. Sinai

  • Invariant measures for Burgers equation with stochastic forcing

    Weinan E;Konstantin Khanin;Alexander Mazel;Yakov Sinai

  • Statistics of shocks in solutions of inviscid Burgers equation

    Yakov G. Sinai

  • Gibbs measures for partially hyperbolic attractors

    Ya. B. Pesin;Ya. G. Sinai

  • Steady-state electrical conduction in the periodic Lorentz gas

    N. I. Chernov;G. L. Eyink;Joel Lebowitz;Ya G. Sinai

  • Theory of probability and random processes

    Leonid B. Koralov;Yakov G. Sinai

  • Topics in Ergodic Theory

    Ya. G. Sinai;Barry Simon

  • Markov partitions for two-dimensional hyperbolic billiards

    L A Bunimovich;Yakov G Sinai;N I Chernov

  • Gibbsian Dynamics and Ergodicity¶for the Stochastically Forced Navier–Stokes Equation

    Weinan E;J. C. Mattingly;Yakov G. Sinai

  • Limiting probability distributions of a passive scalar in a random velocity field.

    Yakov G. Sinai;Victor Yakhot

  • Derivation of Ohm's law in a deterministic mechanical model.

    N. I. Chernov;G. L. Eyink;J. L. Lebowitz;Ya. G. Sinai

Frequent Co-Authors

S. P. Novikov
S. P. Novikov Russian Academy of Sciences
Dong Li
Dong Li Hong Kong University of Science and Technology
Vladimir I. Arnold
Vladimir I. Arnold Russian Academy of Sciences
Albert N. Shiryaev
Albert N. Shiryaev Steklov Mathematical Institute
Leonid A. Bunimovich
Leonid A. Bunimovich Georgia Institute of Technology
Nikolai Chernov
Nikolai Chernov University of Alabama at Birmingham
Weinan E
Weinan E Princeton University
Alexander V. Mikhailov
Alexander V. Mikhailov University of Leeds
Jonathan C. Mattingly
Jonathan C. Mattingly Duke University
Vladimir E. Fortov
Vladimir E. Fortov Russian Academy of Sciences

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