Phase transitions for suspension flows

Godofredo Iommi, Thomas Jordan

Published 2012-02-04, updated 2012-02-23Version 2

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.