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

• Autores: Rômulo M. Vermersch
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 23, Nº 1, 2024
• Idioma: inglés
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• Resumen

  • 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.