Thermodynamic formalism for the positive geodesic flow on the modular surface

Godofredo Iommi

Thermodynamic formalism for the positive geodesic flow on the modular surface

Dynamical Systems 2012-02-20 v2

Authors: Godofredo Iommi

Abstract

In this note we study the thermodynamic formalism for the positive geodesic flow on the modular surface. We define the pressure and prove the variational principle. We also establish conditions for the the pressure to be real analytic and for the potentials to have unique equilibrium states. The results in this paper were largely superceded by "Phase transitions for suspension flows" by Iommi and Jordan arXiv:1202.0849

Keywords

geodesic flow fluid dynamics geometric flows

Cite

@article{arxiv.1009.4623,
  title  = {Thermodynamic formalism for the positive geodesic flow on the modular surface},
  author = {Godofredo Iommi},
  journal= {arXiv preprint arXiv:1009.4623},
  year   = {2012}
}

Comments

This note is not intended for publication. It was largely superceded by the paper "Phase transitions for suspension flows" by Iommi and Jordan, arXiv:1202.0849

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