Concepedia

Amenable Group Actions

Amenable Group Actions is a concept in ergodic theory and symbolic dynamics denoting a group action by an amenable group on a probability space or compact metric space, distinguished from general group actions by the existence of invariant means or Følner sequences that enable the application of averaging techniques to study dynamical properties.

642

Publications

24.8K

Citations

620

Authors

349

Institutions

Publications per year

2017–2026

59

Parents

Publications

642

Random Walks on Discrete Groups: Boundary and Entropy

Vadim A. Kaimanovich · The Annals of Probability · 1983 · 583 citations · Full text

, , +15

Hamiltonian group actions and dynamical systems of calogero type

David Kazhdan, Bertram Kostant, S. Sternberg · Communications on Pure and Applied Mathematics · 1978 · 459 citations

, , +16

Strong rigidity of II1 factors arising from malleable actions of w-rigid groups, I

Sorin Popa · Inventiones mathematicae · 2006 · 353 citations

, , +5

Group Actions, Homeomorphisms, and Matching: A General Framework

Michael I. Miller, Laurent Younès · International Journal of Computer Vision · 2001 · 335 citations

, , +11

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

1–5 of 642

Authors

620

  1. RJ
    Robert J. Zimmer

    University of Chicago, United States

    19 publications · 792 citations

    15

    h-index

  2. SV
    Stefaan Vaes

    KU Leuven, Belgium

    10 publications · 473 citations

    10

    h-index

  3. SP
    Sorin Popa

    University of California, Los Angeles, United States

    10 publications · 1.1K citations

    10

    h-index

  4. HL
    Hanfeng Li

    University at Buffalo, State University of New York, United States

    9 publications · 490 citations

    9

    h-index

  5. GZ
    Guohua Zhang

    Fudan University, China

    8 publications · 272 citations

    9

    h-index

1–5 of 620

Institutions

349

  1. University of California, Los Angeles

    Los Angeles, United States

    15 h-index

    21 publications

    2K citations

  2. Centre National de la Recherche Scientifique

    Paris, France

    14 h-index

    22 publications

    655 citations

  3. Texas A&M University

    College Station, United States

    13 h-index

    21 publications

    778 citations

  4. University of Chicago

    Chicago, United States

    12 h-index

    12 publications

    426 citations

  5. Pennsylvania State University

    State College, United States

    12 h-index

    15 publications

    558 citations

  6. Hebrew University of Jerusalem

    Jerusalem, Israel

    12 h-index

    15 publications

    865 citations

  7. University of Münster

    Münster, Germany

    11 h-index

    16 publications

    1K citations

  8. Yale University

    New Haven, United States

    10 h-index

    13 publications

    382 citations

1–8 of 349

Venues

  1. Ergodic Theory and Dynamical Systems

    44 publications · 1.6K citations

    21

    h-index

  2. Transactions of the American Mathematical Society

    TRAN · 30 publications · 1.1K citations

    21

    h-index

  3. Journal of Functional Analysis

    26 publications · 1K citations

    17

    h-index

  4. Pacific Journal of Mathematics

    18 publications · 598 citations

    16

    h-index

  5. Inventiones mathematicae

    19 publications · 1.7K citations

    16

    h-index

1–5