World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
52
Citations
17403
World Ranking
939
National Ranking
443

Anatole Katok 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 Anatole Katok 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: 184 publications — 55th percentile

55% of scientists in this discipline score the same or lower.

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

Anatole Katok 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 Anatole Katok 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: 52 D-Index — 74th percentile

74% 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

Anatole Katok was affiliated with Pennsylvania State University in the United States. Their research contributions spanned several fields relating to mathematics and physics, with a focus on mathematical dynamics and advanced differential equations.

The main fields of study covered in their work included:

  • Mathematics
  • Physics and Astronomy

Subfields of study populated by their research were:

  • Mathematical Physics
  • Geometry and Topology
  • Statistical and Nonlinear Physics
  • Applied Mathematics

The topical areas most frequently addressed included:

  • Mathematical Dynamics and Fractals
  • Advanced Differential Equations and Dynamical Systems
  • Quantum chaos and dynamical systems
  • Meromorphic and Entire Functions

Katok's recent published papers were as follows:

  • "Survey on entropy-type invariants of sub-exponential growth in dynamical systems," 2020, arXiv (Cornell University)
  • "Flexibility of Lyapunov exponents," 2021, Ergodic Theory and Dynamical Systems
  • "On the accumulation of separatrices by invariant circles," 2021, Ergodic Theory and Dynamical Systems

Publication venues where they most frequently contributed included:

  • Ergodic Theory and Dynamical Systems
  • arXiv (Cornell University)

Among frequent coauthors with whom Katok collaborated were:

  • Jairo Bochi
  • Federico Rodriguez Hertz
  • Adam Kanigowski
  • Daren Wei
  • Raphaël Krikorian

Katok received recognition as a Fellow of the American Mathematical Society in 2013.

Best Publications

  • Introduction to the modern theory of dynamical systems

    Anatole Katok;Boris Hasselblatt

  • Introduction to the Modern Theory of Dynamical Systems: Low-dimensional phenomena

    Unknown

  • Lyapunov exponents, entropy and periodic orbits for diffeomorphisms

    Anatole Katok

  • A First Course in Dynamics: With a Panorama of Recent Developments

    Boris Hasselblatt;Anatole Katok

  • On local entropy

    M. Brin;M. Brin;A. Katok;A. Katok

  • Invariant Manifolds, Entropy and Billiards: Smooth Maps With Singularities

    Anatole Katok;Jean-Marie Strelcyn

  • APPROXIMATIONS IN ERGODIC THEORY

    A B Katok;Anatolii M Stepin

  • Entropy and closed geodesies

    A. Katok

  • Invariant measures and the set of exceptions to Littlewood's conjecture

    Manfred Einsiedler;Anatole Katok;Elon Lindenstrauss

  • Invariant measures for higher-rank hyperbolic abelian actions

    A. Katok;R. J. Spatzier

  • First cohomology of Anosov actions of higher rank abelian groups and applications to rigidity

    Anatole Katok;Ralph J. Spatzier

  • Bernoulli Diffeomorphisms on surfaces

    A. Katok

  • Interval exchange transformations and some special flows are not mixing

    Anatole Katok

  • Some remarks on Birkhoff and Mather twist map theorems

    A. Katok

  • Constructions in elliptic dynamics

    Bassam Fayad;Anatole Katok

  • FIFTY YEARS OF ENTROPY IN DYNAMICS: 1958-2007

    Anatole Katok

  • Differential Rigidity of Anosov Actions of Higher Rank Abelian Groups and Algebraic Lattice Actions

    A. Katok;R. J. Spatzier

  • Differentiability and analyticity of topological entropy for Anosov and geodesic flows

    A. Katok;G. Knieper;M. Pollicott;H. Weiss

  • Infinitesimal Lyapunov functions, invariant cone families and stochastic properties of smooth dyanmical systems

    Anatole Katok;Keith H Burns

  • Birkhoff periodic orbits for small perturbations of completely integrable Hamiltonian systems with convex Hamiltonians

    David Bernstein;Anatole Katok

  • Introduction to the Modern Theory of Dynamical Systems: PRINCIPAL CLASSES OF ASYMPTOTIC TOPOLOGICAL INVARIANTS

    Anatole Katok;Boris Hasselblatt

  • Introduction to the Modern Theory of Dynamical Systems: INTRODUCTION: WHAT IS LOW-DIMENSIONAL DYNAMICS?

    Anatole Katok;Boris Hasselblatt

Frequent Co-Authors

Yakov Pesin
Yakov Pesin Pennsylvania State University
Mark Pollicott
Mark Pollicott University of Warwick
Elon Lindenstrauss
Elon Lindenstrauss Hebrew University of Jerusalem
Rafael de la Llave
Rafael de la Llave Georgia Institute of Technology
Serge Tabachnikov
Serge Tabachnikov Pennsylvania State University

If you think any of the details on this page are incorrect, let us know.

Report an issue

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Related Online Degrees & Career Pathways

For students interested in Mathematics, exploring related online degrees can open doors to diverse career opportunities. Business administration and finance are popular pathways that often intersect with mathematical skills. Many professionals choose to enhance their qualifications through accessible programs, such as the easiest MBA programs, which offer flexible options without compromising quality.

If affordability is a priority, there are several highly-rated options available. Prospective students can find cheapest online DBA programs that provide advanced business knowledge and leadership training at a lower cost. Similarly, those seeking to strengthen their financial expertise might consider a cheap masters in finance to complement their quantitative skills.

For those aiming to complete their studies quickly, exploring the fastest online MBA options can be an ideal solution. These accelerated programs allow students to advance their careers in less time, leveraging their math background for strategic decision-making roles.

By aligning mathematical knowledge with these related fields, graduates can create versatile career paths supported by reputable and accessible online degrees.

Best Scientists Citing Anatole Katok

Recently Published Articles