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Continuity of Lyapunov Exponents for Cocycles with Invariant Holonomies

2015/07/31 by Lucas Backes, Aaron W. Brown, Clark Butler · 1 citation
Mathematics · #math.DS

paper · pdf · doi:10.3934/jmd.2018009

34 pages, 1 figure

arxiv created 2015/10/26 · arxiv updated 2019/05/23

Abstract

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

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