Concepedia

Ergodic Actions Of Groups

Ergodic Actions of Groups is a mathematical framework in ergodic theory that characterizes group actions on measure spaces by their indecomposability, wherein the only invariant sets under the action have either full or null measure, thereby ensuring the statistical homogeneity of the dynamical system.

239

Publications

10K

Citations

209

Authors

158

Institutions

Publications per year

2017–2026

9

Parents

Publications

239

On a class of II<sub>1</sub>factors with at most one Cartan subalgebra

Narutaka Ozawa, Sorin Popa · Annals of Mathematics · 2010 · 259 citations · Full text

, , +13

Ergodic theory of amenable group actions. I: The Rohlin lemma

Donald Ornstein, Benjamin Weiss · Bulletin of the American Mathematical Society · 1980 · 251 citations · Full text

, , +9

Amenable ergodic group actions and an application to Poisson boundaries of random walks

Robert J. Zimmer · Journal of Functional Analysis · 1978 · 238 citations

, , +15

Groups of automorphisms of Borel spaces

V. S. Varadarajan · Transactions of the American Mathematical Society · 1963 · 216 citations

, , +13

Ergodic theory and virtual groups

George W. Mackey · Mathematische Annalen · 1966 · 193 citations

, , +12

1–5 of 239

Authors

209

  1. RJ
    Robert J. Zimmer

    University of Chicago, United States

    21 publications · 1.2K citations

    16

    h-index

  2. SV
    Stefaan Vaes

    KU Leuven, Belgium

    8 publications · 359 citations

    8

    h-index

  3. ML
    Mariusz Lemańczyk

    Nicolaus Copernicus University, Poland

    8 publications · 183 citations

    8

    h-index

  4. SP
    Sorin Popa

    University of California, Los Angeles, United States

    7 publications · 608 citations

    7

    h-index

  5. KS
    Klaus Schmidt

    University of Vienna, Austria

    6 publications · 429 citations

    6

    h-index

1–5 of 209

Institutions

158

  1. Hebrew University of Jerusalem

    Jerusalem, Israel

    11 h-index

    13 publications

    585 citations

  2. University of California, Los Angeles

    Los Angeles, United States

    11 h-index

    12 publications

    1.1K citations

  3. Centre National de la Recherche Scientifique

    Paris, France

    9 h-index

    13 publications

    355 citations

  4. The Ohio State University

    Columbus, United States

    9 h-index

    11 publications

    319 citations

  5. Nicolaus Copernicus University

    Torun, Poland

    8 h-index

    11 publications

    240 citations

  6. B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine

    Kharkiv, Ukraine

    8 h-index

    9 publications

    158 citations

  7. University of Chicago

    Chicago, United States

    7 h-index

    7 publications

    210 citations

  8. United States Naval Academy

    Annapolis, United States

    7 h-index

    7 publications

    669 citations

1–8 of 158

Venues

  1. Ergodic Theory and Dynamical Systems

    39 publications · 1.7K citations

    23

    h-index

  2. Annals of Mathematics

    15 publications · 1.4K citations

    15

    h-index

  3. Israel Journal of Mathematics

    13 publications · 388 citations

    11

    h-index

  4. Transactions of the American Mathematical Society

    TRAN · 12 publications · 515 citations

    11

    h-index

  5. arXiv (Cornell University)

    Repository · 13 publications · 291 citations

    10

    h-index

1–5