From local to global equilibrium states: Thermodynamic formalism via an inducing scheme

Renaud Leplaideur

doi:10.3934/era.2014.21.72

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2014, Volume 21: 72-79. Doi: 10.3934/era.2014.21.72

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From local to global equilibrium states: Thermodynamic formalism via an inducing scheme

Renaud Leplaideur^1,

1.
Laboratoire de Mathématiques de Bretagne Atlantique, UMR 6205, Université de Brest, 6, avenue Victor Le Gorgeu, C.S. 93837

Received: September 30, 2013

Revised: November 30, 2013

Published: December 2013

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Abstract

We present a method to construct equilibrium states via inducing. This method can be used for some non-uniformly hyperbolic dynamical systems and for non-Hölder continuous potentials. It allows us to prove the existence of phase transition.

Mathematics Subject Classification: 37D35.

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References

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