Concepedia

Ergodic Measures

Ergodic Measures is a probability measure on a measurable space invariant under a dynamical system’s transformation such that every invariant measurable set has either zero or full measure, thereby ensuring time averages of observables almost everywhere equal their space averages.

507

Publications

22.6K

Citations

660

Authors

408

Institutions

Publications per year

2017–2026

66

Parents

Publications

507

Absolutely continuous invariant measures for one-parameter families of one-dimensional maps

Michael Jakobson · Communications in Mathematical Physics · 1981 · 646 citations

, , +8

Dimension, entropy and Lyapunov exponents

Lai-Sang Young · Ergodic Theory and Dynamical Systems · 1982 · 645 citations · Full text

, , +15

A Measure Associated with Axiom-A Attractors

David Ruelle · American Journal of Mathematics · 1976 · 455 citations

, , +9

Dimensions and Measures in Infinite Iterated Function Systems

R. Daniel Mauldin, Mariusz Urbański · Proceedings of the London Mathematical Society · 1996 · 410 citations

, , +16

AN INTRODUCTION TO ERGODIC THEORY (Graduate Texts in Mathematics, 79)

D. Newton · Bulletin of the London Mathematical Society · 1982 · 358 citations

, , +14

1–5 of 507

Authors

660

  1. MU
    Mariusz Urbański

    University of North Texas, United States

    6 publications · 627 citations

    6

    h-index

  2. HB
    Henk Bruin

    University of Surrey, United Kingdom

    6 publications · 174 citations

    6

    h-index

  3. OJ
    Oliver Jenkinson

    Queen Mary University of London, United Kingdom

    6 publications · 323 citations

    6

    h-index

  4. SP
    Sorin Popa

    University of California, Los Angeles, United States

    6 publications · 576 citations

    6

    h-index

  5. SV
    Stefaan Vaes

    KU Leuven, Belgium

    5 publications · 289 citations

    5

    h-index

1–5 of 660

Institutions

408

  1. University of Maryland, College Park

    College Park, United States

    14 h-index

    25 publications

    1.6K citations

  2. Pennsylvania State University

    State College, United States

    12 h-index

    18 publications

    786 citations

  3. Hebrew University of Jerusalem

    Jerusalem, Israel

    12 h-index

    15 publications

    773 citations

  4. Centre National de la Recherche Scientifique

    Paris, France

    11 h-index

    22 publications

    850 citations

  5. University of Warwick

    Coventry, United Kingdom

    7 h-index

    9 publications

    603 citations

  6. University of North Carolina at Chapel Hill

    Chapel Hill, United States

    7 h-index

    9 publications

    268 citations

  7. University of Chile

    Santiago, Chile

    7 h-index

    8 publications

    243 citations

  8. University of Vienna

    Vienna, Austria

    7 h-index

    7 publications

    199 citations

1–8 of 408

Venues

  1. Ergodic Theory and Dynamical Systems

    89 publications · 4.3K citations

    33

    h-index

  2. Transactions of the American Mathematical Society

    TRAN · 32 publications · 1.6K citations

    21

    h-index

  3. Discrete and Continuous Dynamical Systems

    DCDS · 22 publications · 659 citations

    15

    h-index

  4. arXiv (Cornell University)

    Repository · 23 publications · 500 citations

    13

    h-index

  5. Nonlinearity

    16 publications · 794 citations

    12

    h-index

1–5