Concepedia

Ergodic Transformation

An Ergodic Transformation is a measure-preserving transformation on a probability space for which time averages of measurable functions coincide with their space averages, implying that the system cannot be decomposed into nontrivial invariant subsets of positive measure.

167

Publications

7.1K

Citations

208

Authors

140

Institutions

Publications per year

2017–2026

4

Variants

Ergodic Map

Parents

Publications

167

Strict Ergodicity and Transformation of the Torus

Hillel Fürstenberg · American Journal of Mathematics · 1961 · 491 citations

, , +12

Probabilistic Seismic Hazard Analysis without the Ergodic Assumption

J. G. Anderson, J. N. Brune · Seismological Research Letters · 1999 · 348 citations

, , +13

Projective Modules over Higher-Dimensional Non-Commutative Tori

Marc A. Rieffel · Canadian Journal of Mathematics · 1988 · 314 citations · Full text

, , +14

Ergodic transformations from an interval into itself

Tien-Yien Li, James A. Yorke · Transactions of the American Mathematical Society · 1978 · 247 citations · Full text

, , +12

Groups of automorphisms of Borel spaces

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

, , +13

1–5 of 167

Authors

208

  1. JA
    Jon Aaronson

    Tel Aviv University, Israel

    8 publications · 205 citations

    8

    h-index

  2. AD
    Andrés del Junco

    University of Toronto, Canada

    6 publications · 206 citations

    6

    h-index

  3. ML
    Mariusz Lemańczyk

    Nicolaus Copernicus University, Poland

    5 publications · 98 citations

    5

    h-index

  4. AI
    Alexandre I. Danilenko

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

    5 publications · 76 citations

    5

    h-index

  5. BW
    Benjamin Weiss

    Hebrew University of Jerusalem, Israel

    4 publications · 251 citations

    4

    h-index

1–5 of 208

Institutions

140

  1. Hebrew University of Jerusalem

    Jerusalem, Israel

    9 h-index

    14 publications

    788 citations

  2. Tel Aviv University

    Tel Aviv, Israel

    7 h-index

    8 publications

    140 citations

  3. Nicolaus Copernicus University

    Torun, Poland

    6 h-index

    6 publications

    155 citations

  4. University of California, Los Angeles

    Los Angeles, United States

    5 h-index

    7 publications

    339 citations

  5. University of Maryland, College Park

    College Park, United States

    5 h-index

    5 publications

    367 citations

  6. The Ohio State University

    Columbus, United States

    4 h-index

    4 publications

    136 citations

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

    Kharkiv, Ukraine

    4 h-index

    4 publications

    52 citations

  8. Institute of Mathematics

    Warsaw, Poland

    4 h-index

    5 publications

    83 citations

1–8 of 140

Venues

  1. Ergodic Theory and Dynamical Systems

    26 publications · 1.1K citations

    17

    h-index

  2. Proceedings of the American Mathematical Society

    PROC · 15 publications · 347 citations

    13

    h-index

  3. Transactions of the American Mathematical Society

    TRAN · 14 publications · 985 citations

    11

    h-index

  4. Israel Journal of Mathematics

    10 publications · 432 citations

    10

    h-index

  5. Pacific Journal of Mathematics

    5 publications · 121 citations

    5

    h-index

1–5