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math.DS2020
Beyond Bowen's Specification Property
Vaughn Climenhaga, Daniel J. Thompson
A classical result in thermodynamic formalism is that for uniformly hyperbolic systems, every Hölder continuous potential has a unique equilibrium state. One proof of this fact is…
math.DS2020★ 2 cited
Fluctuations of time averages around closed geodesics in non-positive curvature
Daniel J. Thompson, Tianyu Wang
We consider the geodesic flow for a rank one non-positive curvature closed manifold. We prove an asymptotic version of the Central Limit Theorem for families of measures constructe…