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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.DS2019
Measures of maximal entropy on subsystems of topological suspension semi-flows
Tamara Kucherenko, Daniel J. Thompson
Given a compact topological dynamical system (X, f) with positive entropy and upper semi-continuous entropy map, and any closed invariant subset with positive entropy…