Continuity of Lyapunov exponents for random two-dimensional matrices

Author:

BOCKER-NETO CARLOS,VIANA MARCELO

Abstract

The Lyapunov exponents of locally constant$\text{GL}(2,\mathbb{C})$-cocycles over Bernoulli shifts vary continuously with the cocycle and the invariant probability measure.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,General Mathematics

Reference33 articles.

1. Random perturbations of matrix cocycles

2. Analycity properties of the characteristic exponents of random matrix products

3. C 1 -generic symplectic diffeomorphisms: partial hyperbolicity and zero centre Lyapunov exponents;Bochi;J. Inst. Math. Jussieu,2009

4. Perturbations of random matrix products in a reducible case;Kifer;Ergod. Th. and Dynam. Sys.,1983

5. Positive Lyapunov exponents for a dense set of bounded measurable SL(2, ℝ)-cocycles

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