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arXiv:1507.08978 [math.DS]AbstractReferencesReviewsResources

Continuity of Lyapunov Exponents for Cocycles with Invariant Holonomies

Lucas Backes, Aaron W. Brown, Clark Butler

Published 2015-07-31Version 1

We prove a conjecture of Viana which states that Lyapunov exponents vary continuously when restricted to $GL(2,\mathbb{R})$-valued cocycles over a subshift of finite type which admit invariant holonomies that depend continuously on the cocycle.

Comments: 34 pages, 1 figure
Categories: math.DS
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