Equilibrium states of interval maps for hyperbolic potentials
Dynamical Systems
2014-05-02 v3
Abstract
We study the thermodynamic formalism of sufficiently regular interval maps for Holder continuous potentials. We show that for a hyperbolic potential there is a unique equilibrium state, and that this measure is exponentially mixing. Moreover, we show the absence of phase transitions: The pressure function is real analytic at such a potential.
Cite
@article{arxiv.1210.6952,
title = {Equilibrium states of interval maps for hyperbolic potentials},
author = {Huaibin Li and Juan Rivera-Letelier},
journal= {arXiv preprint arXiv:1210.6952},
year = {2014}
}
Comments
We minimized the regularity assumptions on the map. The main results actually apply to maps with flat critical points