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arXiv · 1012.0872

Continuity of Lyapunov Exponents for Random 2D Matrices

Carlos Bocker-Neto·Marcelo Viana
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Abstract

The Lyapunov exponents of locally constant GL(2;C)-cocycles over Bernoulli shifts depend continuously on the cocycle and on the invariant probability. The Oseledets decomposition also depends continuously on the cocycle, in measure.

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Carlos Bocker-Neto, Marcelo Viana. 2010-12-04. Continuity of Lyapunov Exponents for Random 2D Matrices. https://arxiv.org/abs/1012.0872

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