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math.DS2020
Computability of topological pressure on compact shift spaces beyond finite type
Michael Burr, Suddhasattwa Das, Christian Wolf +1
We investigate the computability (in the sense of computable analysis) of the topological pressure on compact shift spaces for continuous potentials $ϕ:X\to {\…
math.DS2020
Lyapunov exponents for random perturbations of coupled standard maps
Alex Blumenthal, Jinxin Xue, Yun Yang
In this paper, we give a quantitative estimate for the sum of the first Lyapunov exponents for random perturbations of a natural class -dimensional volume-preserving system…
math.DS2020
Entropy rigidity for 3D conservative Anosov flows and dispersing billiards
Jacopo De Simoi, Martin Leguil, Kurt Vinhage +1
Given an integer , and a Anosov flow on some compact connected -manifold preserving a smooth volume, we show that the measure of maximal entropy (MME) is the…