Equilibrium States for Piecewise Weakly Convex Interval Maps
Dynamical Systems
2026-03-04 v2
Abstract
We prove the existence of equilibrium states for geometric potentials in a class of piecewise weakly convex interval maps. This class includes systems with indifferent fixed points and non-Markov partitions. Under additional hypotheses we also obtain uniqueness.
Cite
@article{arxiv.2412.06423,
title = {Equilibrium States for Piecewise Weakly Convex Interval Maps},
author = {Nicolás Arévalo-Hurtado},
journal= {arXiv preprint arXiv:2412.06423},
year = {2026}
}
Comments
Updated version: now includes proofs of key propositions