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/