Concepedia

Invariant Measures

Invariant Measures is a mathematical construct in dynamical systems theory that refers to a measure-preserving function on a phase space, distinguished by its invariance under the evolution of the system, such that the measure of any measurable set remains constant over time under the action of the system's transformation.

1.2K

Publications

53.7K

Citations

1.3K

Authors

701

Institutions

Publications per year

2017–2026

134

Variants

Stationary Measures

Parents

Publications

1.2K

Automatic Panoramic Image Stitching using Invariant Features

Matthew Brown, David Lowe · International Journal of Computer Vision · 2006 · 2.7K citations

, , +11

GIBBS MEASURES IN ERGODIC THEORY

Yakov G. Sinai · Russian Mathematical Surveys · 1972 · 1K citations

, , +15

Gauss Measures for Transformations on the Space of Interval Exchange Maps

William A. Veech · Annals of Mathematics · 1982 · 651 citations

, , +8

Absolutely continuous invariant measures for one-parameter families of one-dimensional maps

Michael Jakobson · Communications in Mathematical Physics · 1981 · 646 citations

, , +8

On the existence of invariant measures for piecewise monotonic transformations

A. Lasota, James A. Yorke · Transactions of the American Mathematical Society · 1973 · 552 citations

, , +4

1–5 of 1.2K

Authors

1.3K

  1. MR
    Michael Röckner

    Bielefeld University, Germany

    10 publications · 709 citations

    10

    h-index

  2. OJ
    Oliver Jenkinson

    Queen Mary University of London, United Kingdom

    10 publications · 368 citations

    10

    h-index

  3. MU
    Mariusz Urbański

    University of North Texas, United States

    9 publications · 597 citations

    9

    h-index

  4. RL
    Richard L. Tweedie

    Colorado State University, United States

    9 publications · 303 citations

    9

    h-index

  5. BW
    Bixiang Wang

    New Mexico Institute of Mining and Technology, United States

    9 publications · 397 citations

    9

    h-index

1–5 of 1.3K

Institutions

701

  1. Centre National de la Recherche Scientifique

    Paris, France

    19 h-index

    45 publications

    2.2K citations

  2. Institute of Mathematics

    Warsaw, Poland

    18 h-index

    29 publications

    833 citations

  3. Bielefeld University

    Bielefeld, Germany

    15 h-index

    21 publications

    1.2K citations

  4. Hebrew University of Jerusalem

    Jerusalem, Israel

    15 h-index

    25 publications

    1.4K citations

  5. University of Maryland, College Park

    College Park, United States

    14 h-index

    24 publications

    1K citations

  6. Princeton University

    Princeton, United States

    13 h-index

    17 publications

    1.9K citations

  7. University of Warwick

    Coventry, United Kingdom

    12 h-index

    19 publications

    962 citations

  8. Polish Academy of Sciences

    Warsaw, Poland

    11 h-index

    15 publications

    590 citations

1–8 of 701

Venues

  1. Ergodic Theory and Dynamical Systems

    110 publications · 4.2K citations

    36

    h-index

  2. Transactions of the American Mathematical Society

    TRAN · 59 publications · 4K citations

    34

    h-index

  3. The Annals of Probability

    34 publications · 1.9K citations

    21

    h-index

  4. Nonlinearity

    39 publications · 1.6K citations

    21

    h-index

  5. Discrete and Continuous Dynamical Systems

    DCDS · 30 publications · 1.1K citations

    21

    h-index

1–5