Continuity of Lyapunov Exponents for Random 2D Matrices
classification
🧮 math.DS
keywords
cocyclecontinuouslyexponentslyapunovbernoullicocyclesconstantcontinuity
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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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