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math.DS2026
Thermodynamic formalism for non-compact systems with expansivity and specification
Vaughn Climenhaga, Daniel J. Thompson, Tianyu Wang
We develop the theory of equilibrium states via specification properties for a wide class of continuous flows on complete separable metric spaces. We provide general dynamical crit…
math.DS2021
Multifractal analysis of geodesic flows on surfaces without focal points
Kiho Park, Tianyu Wang
We study multifractal spectra of the geodesic flows on rank 1 surfaces without focal points. We compute the entropy of the level sets for the Lyapunov exponents and estimate its Ha…
math.DS2019
Unique equilibrium states, large deviations and Lyapunov spectra for the Katok Map
Tianyu Wang
We study the thermodynamic formalism of a non-uniformly hyperbolic diffeomorphism on the 2-torus, known as the Katok map. We prove for a Hölder continuous potential wi…