Phase transitions for suspension flows
Dynamical Systems
2015-06-04 v2
Abstract
This paper is devoted to study thermodynamic formalism for suspension flows defined over countable alphabets. We are mostly interested in the regularity properties of the pressure function. We establish conditions for the pressure function to be real analytic or to exhibit a phase transition. We also construct an example of a potential for which the pressure has countably many phase transitions.
Keywords
Cite
@article{arxiv.1202.0849,
title = {Phase transitions for suspension flows},
author = {Godofredo Iommi and Thomas Jordan},
journal= {arXiv preprint arXiv:1202.0849},
year = {2015}
}
Comments
Example 5.2 expanded. Typos corrected. Section 6.1 superced the note "Thermodynamic formalism for the positive geodesic flow on the modular surface" arXiv:1009.4623