2012/02/23 by Godofredo Iommi, Thomas Jordan
Mathematics · #math.DS
paper · pdf · doi:10.1007/s00220-013-1681-6
published as Communications in Mathematical Physics 320, 475-498 (2013) · 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
arxiv created 2012/02/23 · arxiv updated 2015/06/04
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.