28 citations · 75 across the 15 of their papers we have counts for
9 papers · 1 filter
The Patterson-Sullivan construction and global leaf geometry for Anosov flows
Clark Butler
We give a new construction of the measure of maximal entropy for transitive Anosov flows through a method analogous to the construction of Patterson-Sullivan measures in negative c…
Thermodynamic formalism of -cocycles with canonical holonomies
Clark Butler, Kiho Park
We study singular value potentials of Hölder continuous -cocycles over hyperbolic systems whose canonical holonomies converge and are Hölder continuous. Such cocy…
Continuity of Lyapunov exponents in all Hölder topologies for irreducible cocycles
Clark Butler
We prove that a locally constant -valued cocycle over the shift generated by an irreducible collection of matrices is a continuity point for Lyapunov exponents…
Characterizing symmetric spaces by their Lyapunov spectra
Clark Butler
We prove that closed negatively curved locally symmetric spaces are characterized up to isometry among all homotopy equivalent negatively curved manifolds by the Lyapunov spectra o…
Uniformly quasiconformal partially hyperbolic systems
Clark Butler, Disheng Xu
We study smooth volume-preserving perturbations of the time-1 map of the geodesic flow of a closed Riemannian manifold of dimension at least three with constant negative cu…
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…