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What are Lyapunov exponents, and why are they interesting?

  • Published:2016-09-06 Issue:1 Volume:54 Page:79-105
  • ISSN:0273-0979
  • Container-title:Bulletin of the American Mathematical Society
  • language:en
  • Short-container-title:Bull. Amer. Math. Soc.

Author:

Wilkinson Amie

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference66 articles.

1. Geodesic flows on closed Riemannian manifolds of negative curvature;Anosov, D. V.;Trudy Mat. Inst. Steklov.,1967

2. Global theory of one-frequency Schrödinger operators;Avila, Artur;Acta Math.,2015

3. A. Avila, KAM, Lyapunov exponents and spectral dichotomy for one-frequency Schrödinger operators. In preparation.

4. On the regularization of conservative maps;Avila, Artur;Acta Math.,2010

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1. Uniform Positivity of the Lyapunov Exponent for Monotone Potentials Generated by the Doubling Map;Communications in Mathematical Physics;2024-09-14

2. Regularity with Respect to the Parameter of Lyapunov Exponents for Diffeomorphisms with Dominated Splitting;Memoirs of the American Mathematical Society;2024-08

3. Chaos in Stochastic 2d Galerkin-Navier–Stokes;Communications in Mathematical Physics;2024-04

4. Random and mean Lyapunov exponents for;Ergodic Theory and Dynamical Systems;2023-12-11

5. On the Norm Equivalence of Lyapunov Exponents for Regularizing Linear Evolution Equations;Archive for Rational Mechanics and Analysis;2023-09-16
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