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Continuity of Lyapunov exponents for cocycles with invariant holonomies

CB: Supported by the National Science Foundation Graduate Research Fellowship under Grant No. DGE-1144082.
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  • 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.

    Mathematics Subject Classification: Primary: 37H15, 37D30; Secondary: 37D25, 37E99.


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  • Figure 1.  Mass away from the diagonal

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