Phase transitions for suspension flows

Details Phase transitions for suspension flows Phase transitions for suspension flows

2012-02-04

arxiv.org/abs/1202.0849v2

Mathematics

Dynamical Systems

Example 5.2 expanded. Typos corrected. Section 6.1 superced the note "Thermodynamic formalism for the positive geodesic flow o

Scientific paper

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.

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