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Phase Transitions for Suspension Flows

Communications in Mathematical Physics volume 320, pages 475–498 (2013)Cite this article

Abstract

This paper is devoted to studying the 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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Authors and Affiliations

  1. Facultad de Matemáticas, Pontificia Universidad Católica de Chile (PUC), Avenida Vicuña Mackenna, 4860, Santiago, Chile

    Godofredo Iommi

  2. The School of Mathematics, The University of Bristol, University Walk, Clifton, Bristol, BS8 1TW, UK

    Thomas Jordan

Authors
  1. Godofredo Iommi
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  2. Thomas Jordan
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Correspondence to Thomas Jordan.

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Communicated by G. Gallavotti

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Iommi, G., Jordan, T. Phase Transitions for Suspension Flows. Commun. Math. Phys. 320, 475–498 (2013). https://doi.org/10.1007/s00220-013-1681-6

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  • DOI: https://doi.org/10.1007/s00220-013-1681-6

Keywords

  • Invariant Measure
  • Gibbs Measure
  • Topological Entropy
  • Equilibrium Measure
  • Pressure Function