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- W2810589813 abstract "We construct suitable metrics for two classes of topological dynamical systems (linear maps on the torus and non-invertible expansive maps on compact spaces) in order to get a lower bound for topological entropy in terms of the resulting Hausdorff dimensions and Lipschitz constants. This reverses an old inequality of Dai, Zhou, and Gheng and leads to a short proof of a well-known theorem on expansive mappings. It also suggests a new invariant of topological conjugacy for dynamical systems on compact metric spaces." @default.
- W2810589813 created "2018-07-10" @default.
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- W2810589813 date "2018-07-03" @default.
- W2810589813 modified "2023-09-27" @default.
- W2810589813 title "Inequalities for Entropy, Hausdorff Dimension, and Lipschitz Constants" @default.
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