Thermodynamic formalism for the positive geodesic flow on the modular surface

Details Thermodynamic formalism for the positive geodesic flow on the modular surface Thermodynamic formalism for the positive geodesic flow on the modular surface

2010-09-23

arxiv.org/abs/1009.4623v2

Mathematics

Dynamical Systems

This note is not intended for publication. It was largely superceded by the paper "Phase transitions for suspension flows" by

Scientific paper

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 The results in this paper were largely superceded by "Phase transitions for suspension flows" by Iommi and Jordan arXiv:1202.0849

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