Continuity of Lyapunov exponents is equivalent to continuity of Oseledets subspaces-Reference-Cited by-同舟云学术

Continuity of Lyapunov exponents is equivalent to continuity of Oseledets subspaces

Published:2017-08-13 Issue:06 Volume:17 Page:1750047
ISSN:0219-4937
Container-title:Stochastics and Dynamics
language:en
Short-container-title:Stoch. Dyn.

Author:

Backes Lucas¹,Poletti Mauricio²

Affiliation:

1. Departamento de Matemática, Universidade Federal do Rio Grande do Sul, Av. Bento Gonçalves 9500, Porto Alegre, RS, CEP 91509-900, Brazil

2. IMPA – Instituto Nacional de Matemática Pura e Aplicada, Estrada D. Castorina 110, Rio de Janeiro, RJ, CEP 22460-320, Brazil

Abstract

We prove that, for semi-invertible continuous cocycles, continuity of Lyapunov exponents is equivalent to continuity, in measure, of Oseledets subspaces.

Publisher

World Scientific Pub Co Pte Lt

Subject

Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219493717500472

Reference14 articles.

1. On Hölder-continuity of Oseledets subspaces

2. Nonuniform Hyperbolicity

3. On the Lyapunov spectrum of relative transfer operators

4. Genericity of zero Lyapunov exponents

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