FROM LOCAL TO GLOBAL EQUILIBRIUM STATES: THERMODYNAMIC FORMALISM VIA AN INDUCING SCHEME

Renaud Leplaideur (1)

1 LMBA - Laboratoire de Mathématiques de Bretagne Atlantique

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

Mots clés: thermodynamic formalims; equilibrium state; induction; Gibbs measures

Domaines: Systèmes dynamiques [math.DS]

Renaud Leplaideur. FROM LOCAL TO GLOBAL EQUILIBRIUM STATES: THERMODYNAMIC FORMALISM VIA AN INDUCING SCHEME. 2013. ⟨hal-00854501v2⟩