Resumen de Measure-Theoretic Uniformly Positive Entropy on the Space of Probability Measures

Rômulo M. Vermersch

• For a homeomorphism T on a compact metric space X, a T -invariant Borel probability measure μ on X and a measure-theoretic quasifactor μ of μ, we study the relationship between the local entropy of the system (X, μ, T ) and of its induced system (M(X), μ, T ), where T is the homeomorphism induced by T on the space M(X) of all Borel probability measures defined on X.