3 papers
math.DS2026
Hölder regularity for metric Anosov flows
Caleb Dilsavor, Daniel J. Thompson
We define a class of flows on compact metric spaces that we call \emph{ metric Anosov flows}, or . We give verifiable criteria for a metric Anosov…
math.DS2023
Gibbs measures for geodesic flow on CAT(-1) spaces
Caleb Dilsavor, Daniel J. Thompson
For a proper geodesically complete CAT(-1) space equipped with a discrete non-elementary action, and a bounded continuous potential with the Bowen property, we construct weighted q…
math.DS2023
A positive proportion Livshits theorem
Caleb Dilsavor, James Marshall Reber
Given a transitive Anosov diffeomorphism or flow on a closed connected Riemannian manifold , the Livshits theorem states that a Hölder function is a coboun…