Some apects of thermodinamic formalism of piecewise of smooth vector fields

Marco A. C. Florentino, Tiago Carvalho, Jeferson Cassiano

Published 2022-11-07Version 1

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.