论文信息 - Topological dynamics of transformations induced on the space of probability measures

Topological dynamics of transformations induced on the space of probability measures

LetT be a continuous transformation of a compact metric spaceX. T induces in a natural way a transformationTM on the spaceM (X) of probability measures onX, and a transformationTK on the spaceK (X) of closed subsets ofX. This note investigates which of the topological properties ofT∶X→X (like distality, transitivity, mixing property etc. ...) are “inherited” byTM∶M (X)→M (X) andTK∶K (X)→K (X).

Karl Sigmund | K. Sigmund | W. Bauer | Walter Bauer

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