Geodesics and dynamical information projections on the manifold of Hölder equilibrium probabilities

Artur O. Lopes, Rafael O. Ruggiero

We consider here the discrete time dynamics described by a transformation $T:M\to M$, where $T$ is either the action of shift $T=\ddot{I}ƒ$ on the symbolic space $M=\{1,2,...,d\}^\mathbb…