On the prevalence of zero entropy

DOI10.1007/BF02771645zbMath0225.28012OpenAlexW2041933359MaRDI QIDQ2548681

Karl Sigmund

Publication date: 1971

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02771645

Mathematics Subject Classification ID

Entropy and other invariants (28D20)

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Generalized fractal dimensions of invariant measures of full-shift systems over compact and perfect spaces: generic behavior, A note on the relation between the metric entropy and the generalized fractal dimensions of invariant measures, Unnamed Item, On the generic behavior of the metric entropy, and related quantities, of uniformly continuous maps over Polish metric spaces, On the structure of generic subshifts, The spectrum of Schrödinger operators with randomly perturbed ergodic potentials, Generic properties of invariant measures of full-shift systems over perfect Polish metric spaces

Cites Work

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• Anosov diffeomorphisms are topologically stable
• Generic properties of invariant measures for Axiom A diffeomorphisms
• Topological Entropy
• Intrinsic Markov Chains
• LECTURES ON THE ENTROPY THEORY OF MEASURE-PRESERVING TRANSFORMATIONS