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Anatole Katok

D-Index & Metrics

Discipline name D-Index World Ranking National Ranking Publications Citations
Mathematics 52 939 443 184 17403

Anatole Katok publications per year

The chart shows the history of publications by Anatole Katok between 1967 and 2021, highlighting the no. of papers published in each year and offering an overview of the publication velocity of this scholar. Anatole Katok published across 55 years, from 1967 to 2021, averaging 3.5 papers a year. Output peaked at 33 publications in 1995. 3 of the 193 publications appeared in the last two years.

No. of publications
10 20 30
Bar chart. Horizontal axis: year, 1967 to 2021. Vertical axis: number of publications, 0 to 33. Peak 33 publications in 1995. 1967: 2 publications 1968: 1 publication 1969: 0 publications 1970: 1 publication 1971: 0 publications 1972: 0 publications 1973: 1 publication 1974: 0 publications 1975: 0 publications 1976: 0 publications 1977: 2 publications 1978: 1 publication 1979: 1 publication 1980: 4 publications 1981: 5 publications 1982: 6 publications 1983: 2 publications 1984: 1 publication 1985: 1 publication 1986: 3 publications 1987: 3 publications 1988: 2 publications 1989: 2 publications 1990: 3 publications 1991: 4 publications 1992: 1 publication 1993: 0 publications 1994: 4 publications 1995: 33 publications 1996: 7 publications 1997: 2 publications 1998: 3 publications 1999: 2 publications 2000: 2 publications 2001: 3 publications 2002: 7 publications 2003: 27 publications 2004: 2 publications 2005: 3 publications 2006: 3 publications 2007: 4 publications 2008: 8 publications 2009: 1 publication 2010: 8 publications 2011: 14 publications 2012: 1 publication 2013: 0 publications 2014: 2 publications 2015: 1 publication 2016: 1 publication 2017: 4 publications 2018: 0 publications 2019: 2 publications 2020: 1 publication 2021: 2 publications
1967 2021

193 publications in total across all disciplines

View publications per year as a table
Anatole Katok: publications per year, 1967 to 2021
Year Publications
1967 2
1968 1
1969 0
1970 1
1971 0
1972 0
1973 1
1974 0
1975 0
1976 0
1977 2
1978 1
1979 1
1980 4
1981 5
1982 6
1983 2
1984 1
1985 1
1986 3
1987 3
1988 2
1989 2
1990 3
1991 4
1992 1
1993 0
1994 4
1995 33
1996 7
1997 2
1998 3
1999 2
2000 2
2001 3
2002 7
2003 27
2004 2
2005 3
2006 3
2007 4
2008 8
2009 1
2010 8
2011 14
2012 1
2013 0
2014 2
2015 1
2016 1
2017 4
2018 0
2019 2
2020 1
2021 2
Total 193
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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.

No. of scientists
25 50 75 100
Bar chart with 100 bars. Horizontal axis: publications, 42–46 to 537+. Vertical axis: number of scientists, 0 to 112. Most scientists, 112, have 142–146 publications. The last bar groups every scientist with 537 publications or more. The highlighted bar, 182–186 publications, is where this scientist sits. 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 scientist 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientist 522–526 publications: 3 scientists 527–531 publications: 1 scientist 532–536 publications: 4 scientists 537+ publications: 100 scientists
42–46 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.

View publications distribution as a table
Number of Mathematics scientists by publication count, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
Publications Scientists This scientist
42–46 3
47–51 5
52–56 7
57–61 20
62–66 14
67–71 25
72–76 19
77–81 35
82–86 50
87–91 60
92–96 86
97–101 84
102–106 83
107–111 90
112–116 99
117–121 90
122–126 91
127–131 109
132–136 110
137–141 98
142–146 112
147–151 102
152–156 88
157–161 106
162–166 83
167–171 102
172–176 77
177–181 81
182–186 78 184
187–191 71
192–196 92
197–201 64
202–206 69
207–211 64
212–216 62
217–221 58
222–226 53
227–231 50
232–236 46
237–241 46
242–246 46
247–251 43
252–256 29
257–261 45
262–266 30
267–271 33
272–276 34
277–281 30
282–286 31
287–291 21
292–296 34
297–301 26
302–306 10
307–311 17
312–316 23
317–321 13
322–326 16
327–331 26
332–336 13
337–341 13
342–346 16
347–351 17
352–356 12
357–361 18
362–366 18
367–371 9
372–376 11
377–381 8
382–386 8
387–391 9
392–396 9
397–401 8
402–406 11
407–411 6
412–416 6
417–421 9
422–426 8
427–431 5
432–436 8
437–441 8
442–446 4
447–451 4
452–456 4
457–461 2
462–466 2
467–471 4
472–476 3
477–481 3
482–486 6
487–491 3
492–496 5
497–501 5
502–506 1
507–511 6
512–516 4
517–521 1
522–526 3
527–531 1
532–536 4
537+ 100
Download as CSV

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.

No. of scientists
50 100 150
Bar chart with 57 bars. Horizontal axis: D-Index, 30 to 86+. Vertical axis: number of scientists, 0 to 174. Most scientists, 174, have 30 D-Index. The last bar groups every scientist with 86 D-Index or more. The highlighted bar, 52 D-Index, is where this scientist sits. 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.

View D-Index distribution as a table
Number of Mathematics scientists by D-index, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
D-Index Scientists This scientist
30 174
31 151
32 174
33 117
34 136
35 127
36 145
37 153
38 150
39 150
40 138
41 136
42 93
43 108
44 115
45 112
46 103
47 75
48 59
49 67
50 60
51 57
52 59 52
53 62
54 60
55 50
56 42
57 54
58 50
59 42
60 41
61 35
62 40
63 21
64 31
65 27
66 29
67 19
68 25
69 17
70 18
71 12
72 14
73 13
74 18
75 9
76 11
77 10
78 9
79 16
80 12
81 10
82 5
83 5
84 13
85 6
86+ 99
Download as CSV

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

External Links

Wikipedia of Anatole Katok Personal website of Anatole Katok Google Scholar page

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Best Scientists Citing Anatole Katok

Yakov Pesin

Yakov Pesin

Pennsylvania State University

Publications: 44

Luis Barreira

Luis Barreira

University of Lisbon

Publications: 36

Elon Lindenstrauss

Elon Lindenstrauss

Hebrew University of Jerusalem

Publications: 34

Viviane Baladi

Viviane Baladi

Centre national de la recherche scientifique, CNRS

Publications: 33

Rafael de la Llave

Rafael de la Llave

Georgia Institute of Technology

Publications: 29

Mark Pollicott

Mark Pollicott

University of Warwick

Publications: 28

Lai Sang Young

Lai Sang Young

Courant Institute of Mathematical Sciences

Publications: 25

Wen Huang

Wen Huang

University of Science and Technology of China

Publications: 24

Gabriel P. Paternain

Gabriel P. Paternain

University of Cambridge

Publications: 23

Tien-Cuong Dinh

Tien-Cuong Dinh

National University of Singapore

Publications: 23

Leonid A. Bunimovich

Leonid A. Bunimovich

Georgia Institute of Technology

Publications: 21

Nikolai Chernov

Nikolai Chernov

University of Alabama at Birmingham

Publications: 20

Nessim Sibony

Nessim Sibony

University of Paris-Saclay

Publications: 20

Robert S. MacKay

Robert S. MacKay

University of Warwick

Publications: 19

Carlangelo Liverani

Carlangelo Liverani

University of Rome Tor Vergata

Publications: 19

Ian Melbourne

Ian Melbourne

University of Warwick

Publications: 18

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