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- W4287774686 abstract "Let $(X,T)$ be a topological dynamical system consisting of a compact metric space $X$ and a continuous surjective map $T : X to X$. By using local entropy theory, we prove that $(X,T)$ has uniformly positive entropy if and only if so does the induced system $(cM(X),wt{T})$ on the space of Borel probability measures endowed with the weak$^*$ topology. This result can be seen as a version for the notion of uniformly positive entropy of the corresponding result for topological entropy due to Glasner and Weiss." @default.
- W4287774686 created "2022-07-26" @default.
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- W4287774686 date "2020-05-28" @default.
- W4287774686 modified "2023-09-29" @default.
- W4287774686 title "Uniformly Positive Entropy of Induced Transformations" @default.
- W4287774686 doi "https://doi.org/10.48550/arxiv.2005.13940" @default.
- W4287774686 hasPublicationYear "2020" @default.
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