English

A comment on the definition of relative pressure

Dynamical Systems 2007-05-23 v1

Abstract

We show that two natural definitions of the relative pressure function for a locally constant potential function and a factor map from a shift of finite type coincide almost everywhere with respect to every invariant measure. With a suitable extension of one of the definitions, the same holds true for any continuous potential function.

Keywords

Cite

@article{arxiv.math/0403163,
  title  = {A comment on the definition of relative pressure},
  author = {Karl Petersen and Sujin Shin},
  journal= {arXiv preprint arXiv:math/0403163},
  year   = {2007}
}