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arXiv · 2503.18193

Equilibrium states by synchronization, symbolic extensions, and factors

Katrin Gelfert·Dominik Kwietniak·Yuri Lima
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Abstract

We combine the two classical topological concepts, time-preserving topological factors and synchronizing time-changes of a continuous flow, and explore some of their thermodynamic consequences. Particular focus is put on equilibrium states and, in particular, measures of maximal entropy, with emphasis on geodesic flows on rank-one surfaces of nonpositive curvature and their time-preserving expansive topological factors for which we investigate the scaled geometric potentials.

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Katrin Gelfert, Dominik Kwietniak, Yuri Lima. 2025-03-23. Equilibrium states by synchronization, symbolic extensions, and factors. https://arxiv.org/abs/2503.18193

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