Continuity of Lyapunov Exponents for Random 2D Matrices

Details Continuity of Lyapunov Exponents for Random 2D Matrices Continuity of Lyapunov Exponents for Random 2D Matrices

2010-12-04

arxiv.org/abs/1012.0872v1

Mathematics

Dynamical Systems

Scientific paper

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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