Phase transition in one-dimensional subshifts
Dynamical Systems
2014-03-04 v1
Abstract
In this note we give simple examples of a one-dimensional mixing subshift with positive topological entropy which have two distinct measures of maximal entropy. We also give examples of subshifts which have two mutually singular equilibrium states for H\"{o}lder continuous functions. We also indicate how the construction can be extended to yield examples with any number of measures of maximal entropy of equilibrium states.
Cite
@article{arxiv.1111.6227,
title = {Phase transition in one-dimensional subshifts},
author = {Nicolai T. A. Haydn},
journal= {arXiv preprint arXiv:1111.6227},
year = {2014}
}