Concepedia

Katok Theory

Katok Theory is a mathematical framework within hyperbolic dynamics that characterizes the rigidity properties of smooth dynamical systems through the study of invariant measures and their relation to Lyapunov exponents, distinguishing itself by establishing precise connections between geometric structure, entropy, and the existence of non-uniform hyperbolicity.

92

Publications

3.6K

Citations

137

Authors

115

Institutions

Publications per year

2017–2026

12

Parents

Publications

92

E-theory and KK-theory for groups which act properly and isometrically on Hilbert space

Nigel Higson, Gennadi Kasparov · Inventiones mathematicae · 2001 · 346 citations

, , +11

A generalization of a theorem by Kato on Navier-Stokes equations

Marco Cannone · Revista Matemática Iberoamericana · 1997 · 288 citations · Full text

, , +12

Manifolds with non-positive curvature

Keith Burns, A. Katok, W. Ballman et al. · Ergodic Theory and Dynamical Systems · 1985 · 262 citations · Full text

, , +9

Geometry of the Katok examples

Wolfgang Ziller · Ergodic Theory and Dynamical Systems · 1983 · 138 citations · Full text

, , +12

The Uniqueness of the Measure of Maximal Entropy for Geodesic Flows on Rank 1 Manifolds

Gerhard Knieper · Annals of Mathematics · 1998 · 121 citations

, , +11

1–5 of 92

Authors

137

  1. KK
    Kazuhiro Kuwae

    Kumamoto University, Japan

    3 publications · 112 citations

    3

    h-index

  2. RH
    Robin Harte

    Trinity College Dublin, Ireland

    2 publications · 27 citations

    2

    h-index

  3. TI
    Takashi Ichinose

    Kanazawa University, Japan

    3 publications · 99 citations

    2

    h-index

  4. VA
    Valentin A. Zagrebnov

    Centre de Physique Théorique, France

    2 publications · 61 citations

    2

    h-index

  5. HT
    Hideo Tamura

    The University of Osaka, Japan

    3 publications · 99 citations

    2

    h-index

1–5 of 137

Institutions

115

  1. Centre National de la Recherche Scientifique

    Paris, France

    13 h-index

    16 publications

    873 citations

  2. Pennsylvania State University

    State College, United States

    4 h-index

    4 publications

    498 citations

  3. Sorbonne Université

    Paris, France

    4 h-index

    5 publications

    130 citations

  4. California Institute of Technology

    Pasadena, United States

    3 h-index

    6 publications

    1.1K citations

  5. Centre de Physique Théorique

    Marseille, France

    3 h-index

    3 publications

    110 citations

  6. Université Paris Cité

    Paris, France

    3 h-index

    4 publications

    389 citations

  7. Laboratoire Jacques-Louis Lions

    Paris, France

    2 h-index

    2 publications

    77 citations

  8. The Ohio State University

    Columbus, United States

    2 h-index

    2 publications

    44 citations

1–8 of 115

Venues

  1. Ergodic Theory and Dynamical Systems

    10 publications · 684 citations

    10

    h-index

  2. Communications in Mathematical Physics

    6 publications · 189 citations

    6

    h-index

  3. Journal of Functional Analysis

    5 publications · 290 citations

    5

    h-index

  4. Transactions of the American Mathematical Society

    TRAN · 3 publications · 64 citations

    3

    h-index

  5. Bulletin of Mathematical Sciences

    2 publications · 34 citations

    2

    h-index

1–5