Concepedia

Ergodic Decomposition

Ergodic Decomposition is a foundational result in ergodic theory that uniquely expresses a dynamical system's invariant measure as a convex combination of ergodic measures, thereby decomposing the system into its indecomposable ergodic components.

81

Publications

2.8K

Citations

112

Authors

94

Institutions

Publications per year

2017–2026

11

Parents

Publications

81

Ergodic Properties of Linear Dynamical Systems

Russell Johnson, Kenneth J. Palmer, George R. Sell · SIAM Journal on Mathematical Analysis · 1987 · 222 citations · Full text

, , +15

Groups of automorphisms of Borel spaces

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

, , +13

Unique Cartan decomposition for II1 factors arising from arbitrary actions of free groups

Sorin Popa, Stefaan Vaes · Acta Mathematica · 2014 · 151 citations · Full text

, , +12

Unique Cartan decomposition for II<sub> <i>1</i> </sub> factorsarising from arbitrary actions of hyperbolic groups

Sorin Popa, Stefaan Vaes · Journal für die reine und angewandte Mathematik (Crelles Journal) · 2013 · 97 citations · Full text

, , +14

A Quantitative Ergodic Theory Proof of Szemerédi's Theorem

Terence Tao · The Electronic Journal of Combinatorics · 2006 · 96 citations · Full text

, , +12

1–5 of 81

Authors

112

  1. RM
    Robert M. Gray

    Stanford University, United States

    4 publications · 182 citations

    4

    h-index

  2. TT
    Terence Tao

    University of California, Los Angeles, United States

    3 publications · 153 citations

    3

    h-index

  3. MW
    Minmin Wang

    Laboratoire de Probabilités, Statistique et Modélisation, France

    2 publications · 23 citations

    2

    h-index

  4. LD
    L. Davisson

    University of Southern California, United States

    2 publications · 134 citations

    2

    h-index

  5. AS
    Alexander Starkov

    Lomonosov Moscow State University, Russia

    2 publications · 25 citations

    2

    h-index

1–5 of 112

Institutions

94

  1. Centre National de la Recherche Scientifique

    Paris, France

    6 h-index

    6 publications

    218 citations

  2. Stanford University

    Stanford, United States

    4 h-index

    5 publications

    198 citations

  3. University of California, Los Angeles

    Los Angeles, United States

    3 h-index

    3 publications

    344 citations

  4. École Polytechnique

    Palaiseau, France

    3 h-index

    3 publications

    159 citations

  5. University of Southern California

    Los Angeles, United States

    3 h-index

    3 publications

    356 citations

  6. University of Warwick

    Coventry, United Kingdom

    3 h-index

    3 publications

    51 citations

  7. University of Illinois Urbana-Champaign

    Urbana, United States

    3 h-index

    5 publications

    107 citations

  8. Microsoft Research (United Kingdom)

    Cambridge, United Kingdom

    2 h-index

    2 publications

    95 citations

1–8 of 94

Venues

  1. Ergodic Theory and Dynamical Systems

    8 publications · 226 citations

    8

    h-index

  2. arXiv (Cornell University)

    Repository · 5 publications · 87 citations

    5

    h-index

  3. IEEE Transactions on Information Theory

    5 publications · 199 citations

    5

    h-index

  4. Transactions of the American Mathematical Society

    TRAN · 4 publications · 307 citations

    4

    h-index

  5. Journal of Applied Probability

    JAP · 3 publications · 112 citations

    3

    h-index

1–5