We use Pesin theory to study possible equilibrium measures for a broad class of piecewise monotone maps of the interval and a broad class of potentials.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm231-1-1,
author = {Neil Dobbs},
title = {Pesin theory and equilibrium measures on the interval},
journal = {Fundamenta Mathematicae},
volume = {228},
year = {2015},
pages = {1-17},
zbl = {06451629},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm231-1-1}
}
Neil Dobbs. Pesin theory and equilibrium measures on the interval. Fundamenta Mathematicae, Tome 228 (2015) pp. 1-17. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm231-1-1/