A Variational Principle for the Specific Entropy for Symbolic Systems with Uncountable Alphabets
Dynamical Systems
2018-06-11 v3 Probability
Abstract
In this paper we derived a variational principle for the specific entropy on the context of symbolic dynamics of compact metric space alphabets and use this result to obtain the uniqueness of the equilibrium states associated to a Walters potential.
Keywords
Cite
@article{arxiv.1707.01762,
title = {A Variational Principle for the Specific Entropy for Symbolic Systems with Uncountable Alphabets},
author = {D. Aguiar and L. Cioletti and R. Ruviaro},
journal= {arXiv preprint arXiv:1707.01762},
year = {2018}
}
Comments
14 pages. Accepted for publication in Mathematische Nachrichten