Concepedia

Volume-preserving Maps

Volume-Preserving Maps is a mathematical transformation in dynamical systems theory that belongs to the class of conservative maps and is distinguished by its property of maintaining constant the Lebesgue measure of phase space regions under iteration, thereby ensuring the preservation of volume in the state space.

189

Publications

7.7K

Citations

287

Authors

195

Institutions

Publications per year

2017–2026

22

Variants

Measure-preserving Maps

Parents

Publications

189

Smooth Pycnophylactic Interpolation for Geographical Regions

Waldo Tobler · Journal of the American Statistical Association · 1979 · 636 citations

, , +16

Euler-Poincaré Models of Ideal Fluids with Nonlinear Dispersion

Darryl D. Holm, Jerrold E. Marsden, Tudor S. Raţiu · Physical Review Letters · 1998 · 296 citations

, , +15

On the ergodicity of partially hyperbolic systems

Keith Burns, Amie Wilkinson · Annals of Mathematics · 2010 · 202 citations · Full text

, , +10

The Lyapunov exponents of generic volume-preserving and symplectic maps

Jairo Bochi, Marcelo Viana · Annals of Mathematics · 2005 · 201 citations · Full text

, , +13

Minimal geodesics on groups of volume-preserving maps and generalized solutions of the Euler equations

Yann Brenier · Communications on Pure and Applied Mathematics · 1999 · 176 citations

, , +9

1–5 of 189

Authors

287

  1. JD
    James D. Meiss

    University of Colorado Boulder, United States

    11 publications · 428 citations

    11

    h-index

  2. AW
    Amie Wilkinson

    Northwestern University, United States

    5 publications · 320 citations

    5

    h-index

  3. GQ
    G. Quispel

    La Trobe University, Australia

    4 publications · 107 citations

    4

    h-index

  4. OP
    Oreste Piro

    Mediterranean Institute for Advanced Studies, Spain

    4 publications · 246 citations

    4

    h-index

  5. KB
    Keith Burns

    Northwestern University, United States

    3 publications · 288 citations

    3

    h-index

1–5 of 287

Institutions

195

  1. University of Colorado Boulder

    Boulder, United States

    13 h-index

    20 publications

    641 citations

  2. The University of Tokyo

    Tokyo, Japan

    6 h-index

    11 publications

    254 citations

  3. Northwestern University

    Evanston, United States

    5 h-index

    6 publications

    469 citations

  4. Université Sorbonne Paris Nord

    Villetaneuse, France

    5 h-index

    5 publications

    124 citations

  5. University of Chicago

    Chicago, United States

    5 h-index

    11 publications

    626 citations

  6. Centre National de la Recherche Scientifique

    Paris, France

    5 h-index

    10 publications

    214 citations

  7. La Trobe University

    Melbourne, Australia

    4 h-index

    6 publications

    182 citations

  8. Georgia Institute of Technology

    Atlanta, United States

    4 h-index

    5 publications

    202 citations

1–8 of 195

Venues

  1. Ergodic Theory and Dynamical Systems

    10 publications · 376 citations

    10

    h-index

  2. Nonlinearity

    9 publications · 214 citations

    9

    h-index

  3. 7

    h-index

  4. Discrete and Continuous Dynamical Systems

    DCDS · 5 publications · 130 citations

    5

    h-index

  5. Physica D Nonlinear Phenomena

    4 publications · 66 citations

    4

    h-index

1–5