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math.DS2017
Positive entropy equilibrium states
Vaughn Climenhaga, Van Cyr
For transitive shifts of finite type, and more generally for shifts with specification, it is well-known that every equilibrium state for a Holder continuous potential has positive…
math.DS2017★ 1 cited
Unique equilibrium states for geodesic flows in nonpositive curvature
Keith Burns, Vaughn Climenhaga, Todd Fisher +1
We study geodesic flows over compact rank 1 manifolds and prove that sufficiently regular potential functions have unique equilibrium states if the singular set does not carry full…