28 citations · 75 across the 15 of their papers we have counts for
4 papers · 1 filter
Measurable rigidity of the cohomological equation for linear cocycles over hyperbolic systems
Clark Butler
We show that any measurable solution of the cohomological equation for a Hölder linear cocycle over a hyperbolic system coincides almost everywhere with a Hölder solution. More gen…
Discontinuity of Lyapunov Exponents Near Fiber Bunched Cocycles
Clark Butler
We give examples of locally constant -cocycles over a Bernoulli shift which are discontinuity points for Lyapunov exponents in the Hölder topology and are arbitra…
Continuity of Lyapunov Exponents for Cocycles with Invariant Holonomies
Lucas Backes, Aaron W. Brown, Clark Butler
We prove a conjecture of Viana which states that Lyapunov exponents vary continuously when restricted to -valued cocycles over a subshift of finite type which adm…
Rigidity of equality of Lyapunov exponents for geodesic flows
Clark Butler
We study the relationship between the Lyapunov exponents of the geodesic flow of a closed negatively curved manifold and the geometry of the manifold. We show that if each periodic…