Concepedia

Multiple Ergodic Averages

Multiple Ergodic Averages is a mathematical construct in ergodic theory that refers to the long-term average behavior of products of functions evaluated along jointly iterated transformations in a measure-preserving system, capturing the statistical interplay between multiple dynamics.

24

Publications

892

Citations

24

Authors

27

Institutions

Publications per year

2017–2026

6

Parents

Publications

24

Norm convergence of multiple ergodic averages for commuting transformations

Terence Tao · Ergodic Theory and Dynamical Systems · 2008 · 206 citations

, , +13

Convergence of multiple ergodic averages along polynomials of several variables

A. Leibman · Israel Journal of Mathematics · 2005 · 119 citations

, , +12

Multiple ergodic averages for three polynomials and applications

Nikos Frantzikinakis · Transactions of the American Mathematical Society · 2008 · 61 citations · Full text

, , +11

Convergence of multiple ergodic averages for some commuting transformations

Nikos Frantzikinakis, Bryna Kra · Ergodic Theory and Dynamical Systems · 2005 · 47 citations · Full text

, , +9

0 ERGODIC AVERAGES OF COMMUTING TRANSFORMATIONS WITH DISTINCT DEGREE POLYNOMIAL ITERATES

Qing Chu, Nikos Frantzikinakis, Bernard Host · 2016 · 45 citations

, , +14

1–5 of 24

Authors

24

  1. NF
    Nikos Frantzikinakis

    University of Crete, Greece

    6 publications · 235 citations

    6

    h-index

  2. TT
    Terence Tao

    University of California, Los Angeles, United States

    3 publications · 252 citations

    3

    h-index

  3. SS
    Song Shao

    University of Science and Technology of China, China

    3 publications · 76 citations

    3

    h-index

  4. SD
    Sebastián Donoso

    University of Chile, Chile

    3 publications · 45 citations

    3

    h-index

  5. WS
    Wenbo Sun

    University of Chile, Chile

    3 publications · 45 citations

    3

    h-index

1–5 of 24

Institutions

27

  1. Centre National de la Recherche Scientifique

    Paris, France

    4 h-index

    6 publications

    186 citations

  2. Chinese Academy of Sciences

    Beijing, China

    3 h-index

    9 publications

    228 citations

  3. The Ohio State University

    Columbus, United States

    3 h-index

    3 publications

    158 citations

  4. University of Science and Technology of China

    Hefei, China

    3 h-index

    9 publications

    228 citations

  5. University of Crete

    Rethymno, Greece

    3 h-index

    3 publications

    97 citations

  6. Laboratoire d’Analyse et de Mathématiques Appliquées

    Champs-sur-Marne, France

    3 h-index

    4 publications

    144 citations

  7. Northwestern University

    Evanston, United States

    3 h-index

    4 publications

    99 citations

  8. University of California, Los Angeles

    Los Angeles, United States

    3 h-index

    3 publications

    252 citations

1–8 of 27

Venues

  1. Ergodic Theory and Dynamical Systems

    7 publications · 362 citations

    7

    h-index

  2. Transactions of the American Mathematical Society

    TRAN · 3 publications · 101 citations

    3

    h-index

  3. Advances in Mathematics

    2 publications · 42 citations

    2

    h-index

  4. Journal d Analyse Mathématique

    2 publications · 46 citations

    2

    h-index

  5. arXiv (Cornell University)

    Repository · 2 publications · 56 citations

    2

    h-index

1–5