Some apects of thermodinamic formalism of piecewise of smooth vector fields
Dynamical Systems
2022-11-09 v1
Abstract
In this paper we study some aspects of thermodynamic formalism, more specifically topological pressure and, as a consequence, topological entropy for piecewise smooth vector fields, using topological conjugation with shift maps and the Perron- Frobenius Operator. Some relationships between entropy and Hausdorff dimensions are also investigated.
Keywords
Cite
@article{arxiv.2211.03908,
title = {Some apects of thermodinamic formalism of piecewise of smooth vector fields},
author = {Marco A. C. Florentino and Tiago Carvalho and Jeferson Cassiano},
journal= {arXiv preprint arXiv:2211.03908},
year = {2022}
}