Measures of maximal relative entropy
Dynamical Systems
2007-05-23 v1 Probability
Abstract
Given an irreducible subshift of finite type X, a subshift Y, a factor map \pi : X \to Y, and an ergodic invariant measure \nu on Y, there can exist more than one ergodic measure on X which projects to \nu and has maximal entropy among all measures in the fiber, but there is an explicit bound on the number of such maximal entropy preimages.
Cite
@article{arxiv.math/0203072,
title = {Measures of maximal relative entropy},
author = {Karl Petersen and Anthony Quas and Sujin Shin},
journal= {arXiv preprint arXiv:math/0203072},
year = {2007}
}
Comments
22 pages. (To appear in Erg. Th. Dyn. Sys.)