Level-2 IFS thermodynamic formalism: Gibbs probabilities in the space of probabilities and the push-forward map

Abstract

We will denote by M the space of Borel probabilities on the symbolic space Ω={1,2⋯,m}N. M is equipped Monge–Kantorovich metric. We consider here the push-forward map T:M→M as a dynamical system. Th...