Entropy and variational principles for holonomic probabilities of IFS (Q1001662)

The aim of the present paper is to study and analyze, in the setting of holonomic probabilities associated to an Iterated Function System (IFS) the concepts of entropy and pressure which according to authors is a different problem from the usual one among invariant probabilities. The authors and especially El. R. Oliveira (this work is a part of his PhD thesis) managed to provide that the study of the holonomic probabilities allows someone to understand all the transference operators and the associated stationary states in the case that the IFS is considered to be a realization of a stochastic process.