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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.DS2026
The specification approach to equilibrium states for parabolic rational maps
Katelynn Huneycutt, Daniel J. Thompson
We develop the specification and orbit-decomposition approach to equilibrium states for parabolic rational maps of the Riemann Sphere. Our result extends the well-known results on…
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…