Continuity of Lyapunov Exponents for Cocycles with Invariant Holonomies

Abstract

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.

34 pages, 1 figure

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