World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
52
Citations
17403
World Ranking
939
National Ranking
442

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

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