Concepedia

Riemann Surface Dynamics

Riemann Surface Dynamics is a mathematical framework in complex dynamics that studies the iterative behavior of holomorphic mappings on Riemann surfaces, distinguished by its focus on the intrinsic geometric and topological properties of surfaces under conformal transformation.

58

Publications

4.4K

Citations

91

Authors

72

Institutions

Publications per year

2017–2026

7

Parents

Publications

58

Complex analytic dynamics on the Riemann sphere

Paul Blanchard · Bulletin of the American Mathematical Society · 1984 · 575 citations · Full text

, , +11

Quasiconformal Homeomorphisms and Dynamics I. Solution of the Fatou-Julia Problem on Wandering Domains

Dennis Sullivan · Annals of Mathematics · 1985 · 499 citations

, , +6

Dynamics in one complex variable: introductory lectures

John Milnor · arXiv (Cornell University) · 1990 · 494 citations · Full text

, , +11

Geometry and Dynamics of Quadratic Rational Maps

John Milnor, Milnor, Lei Tan · Experimental Mathematics · 1993 · 301 citations

, , +14

The Dynamics on Three-Dimensional Strictly Convex Energy Surfaces

Helmut Hofer, Krzysztof Wysocki, Eduard Zehnder · Annals of Mathematics · 1998 · 263 citations

, , +14

1–5 of 58

Authors

91

  1. DG
    David Gómez‐Ullate

    Universidad Complutense de Madrid, Spain

    3 publications · 93 citations

    3

    h-index

  2. MS
    M. Sommacal

    Sapienza University of Rome, Italy

    3 publications · 87 citations

    3

    h-index

  3. HS
    Hiroki Sumi

    The University of Osaka, Japan

    2 publications · 85 citations

    2

    h-index

  4. HW
    Hao Wu

    Nanjing Tech University, China

    2 publications · 24 citations

    2

    h-index

  5. RD
    Romain Dujardin

    Université Gustave Eiffel, France

    2 publications · 38 citations

    2

    h-index

1–5 of 91

Institutions

72

  1. Centre National de la Recherche Scientifique

    Paris, France

    4 h-index

    9 publications

    173 citations

  2. Istituto Nazionale di Fisica Nucleare, Sezione di Roma I

    Rome, Italy

    3 h-index

    6 publications

    174 citations

  3. Istituto Nazionale di Fisica Nucleare

    Rome, Italy

    3 h-index

    6 publications

    174 citations

  4. Sapienza University of Rome

    Rome, Italy

    3 h-index

    6 publications

    174 citations

  5. The University of Tokyo

    Tokyo, Japan

    2 h-index

    4 publications

    384 citations

  6. Universitat Politècnica de Catalunya

    Barcelona, Spain

    2 h-index

    3 publications

    100 citations

  7. Hiroshima University

    Hiroshima, Japan

    2 h-index

    3 publications

    60 citations

  8. Stony Brook University

    Stony Brook, United States

    2 h-index

    4 publications

    672 citations

1–8 of 72

Venues

  1. Ergodic Theory and Dynamical Systems

    4 publications · 126 citations

    4

    h-index

  2. arXiv (Cornell University)

    Repository · 3 publications · 533 citations

    3

    h-index

  3. Annals of Mathematics

    3 publications · 917 citations

    3

    h-index

  4. ArXiv.org

    Repository · 3 publications · 36 citations

    3

    h-index

  5. Bulletin of the American Mathematical Society

    3 publications · 735 citations

    3

    h-index

1–5