English

A formula for the local metric pressure

Dynamical Systems 2019-01-23 v1

Abstract

In this note we present a formula for the local metric pressure that generalizes Brin-Katok result for the metric entropy. As an application, we give a straightforward proof of the fact that non-atomic weak-Gibbs invariant probability measures are equilibrium states.

Keywords

Cite

@article{arxiv.1901.07198,
  title  = {A formula for the local metric pressure},
  author = {Maria Carvalho and Sebastián A. Pérez},
  journal= {arXiv preprint arXiv:1901.07198},
  year   = {2019}
}
R2 v1 2026-06-23T07:18:08.252Z