Equilibrium states by synchronization, symbolic extensions, and factors
Dynamical Systems
2025-03-25 v1
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.
Keywords
Cite
@article{arxiv.2503.18193,
title = {Equilibrium states by synchronization, symbolic extensions, and factors},
author = {Katrin Gelfert and Dominik Kwietniak and Yuri Lima},
journal= {arXiv preprint arXiv:2503.18193},
year = {2025}
}