Concepedia

Metric Entropy

Metric Entropy is a measure-theoret paid quantity in dynamical systems theory that characterizes the rate of information production or the average rate of exponential divergence of trajectories with respect to an invariant measure, distinguishing it from topological counterparts by its dependence on the probabilistic structure of the system.

539

Publications

38.5K

Citations

879

Authors

515

Institutions

Publications per year

2017–2026

94

Variants

Ks Entropy

Parents

Publications

539

Action integrals and partition functions in quantum gravity

G. W. Gibbons, S. W. Hawking · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · 1977 · 3.5K citations

, , +14

Kolmogorov entropy and numerical experiments

Giancarlo Benettin, L. Galgani, Jean-Marie Strelcyn · Physical review. A, General physics · 1976 · 1.3K citations

, , +10

Entropy for group endomorphisms and homogeneous spaces

Rufus Bowen · Transactions of the American Mathematical Society · 1971 · 1.1K citations

, , +16

Dimension, entropy and Lyapunov exponents

Lai-Sang Young · Ergodic Theory and Dynamical Systems · 1982 · 645 citations · Full text

, , +15

Jensen-Shannon divergence and Hilbert space embedding

Bent Fuglede · 2004 · 621 citations

, , +9

1–5 of 539

Authors

879

  1. LY
    Lai-Sang Young

    Courant Institute of Mathematical Sciences, United States

    7 publications · 1.9K citations

    7

    h-index

  2. WL
    Werner Linde

    Friedrich Schiller University Jena, Germany

    5 publications · 249 citations

    5

    h-index

  3. EM
    Esfandiar Maasoumi

    Southern Methodist University, United States

    5 publications · 176 citations

    5

    h-index

  4. RM
    R. M. Dudley

    Massachusetts Institute of Technology, United States

    5 publications · 522 citations

    5

    h-index

  5. PS
    Pengjian Shang

    Beijing Jiaotong University, China

    4 publications · 93 citations

    4

    h-index

1–5 of 879

Institutions

515

  1. Centre National de la Recherche Scientifique

    Paris, France

    14 h-index

    24 publications

    1K citations

  2. Peking University

    Beijing, China

    11 h-index

    22 publications

    633 citations

  3. Pennsylvania State University

    State College, United States

    11 h-index

    16 publications

    778 citations

  4. University of California, Berkeley

    Berkeley, United States

    8 h-index

    13 publications

    376 citations

  5. Friedrich Schiller University Jena

    Jena, Germany

    8 h-index

    11 publications

    451 citations

  6. Massachusetts Institute of Technology

    Cambridge, United States

    7 h-index

    7 publications

    621 citations

  7. University of California, Santa Barbara

    Santa Barbara, United States

    7 h-index

    7 publications

    464 citations

  8. University of Cambridge

    Cambridge, United Kingdom

    7 h-index

    12 publications

    8.2K citations

1–8 of 515

Venues

  1. Ergodic Theory and Dynamical Systems

    26 publications · 2K citations

    18

    h-index

  2. Journal of High Energy Physics

    JHEP · 15 publications · 1.2K citations

    14

    h-index

  3. arXiv (Cornell University)

    Repository · 18 publications · 469 citations

    14

    h-index

  4. Nonlinearity

    15 publications · 350 citations

    13

    h-index

  5. Transactions of the American Mathematical Society

    TRAN · 13 publications · 1.8K citations

    13

    h-index

1–5