Rel�vement d'une mesure ergodique par un codage

Abstract

Let α be a coding: B→A, to which is associated a mapping \(Q \to Q^\alpha\)from the set of ergodic measures on Bℤ to the set of ergodic measures on Aℤ. We derive a relation between the number of ergodic solutions of the equation \(P = Q^\alpha\)where P is a given ergodic measure on Aℤ, and the ambiguousness of decoding for each of the solutions Q.