We prove that an invertible zero-dimensional dynamical system has an invariant measure of maximal entropy if and only if it is an extension of an asymptotically h-expansive system of equal topological entropy.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm127-1-4,
author = {Dawid Huczek},
title = {Maximal entropy measures in dimension zero},
journal = {Colloquium Mathematicae},
volume = {126},
year = {2012},
pages = {55-66},
zbl = {1257.37008},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm127-1-4}
}
Dawid Huczek. Maximal entropy measures in dimension zero. Colloquium Mathematicae, Tome 126 (2012) pp. 55-66. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm127-1-4/