Sequence entropy pairs and complexity pairs for a measure.

DOI10.5802/aif.2041zbMath1083.37006OpenAlexW1519018250MaRDI QIDQ1774053

Alejandro Maass, Wen Huang, Xiang Dong Ye

Publication date: 29 April 2005

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2004__54_4_1005_0

zbMATH Keywords

complexitysequential entropy

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Entropy and other invariants (28D20) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Topological entropy (37B40)

Related Items (18)

Directional Kronecker algebra for -actions ⋮ Independence and almost automorphy of higher order ⋮ Density-equicontinuity and density-sensitivity ⋮ A local variational relation and applications ⋮ Independence in topological and \(C^*\)-dynamics ⋮ Chaos and null systems ⋮ Relativization of dynamical properties ⋮ Sequence entropy tuples and mean sensitive tuples ⋮ Measurable \(n\)-sensitivity and maximal pattern entropy ⋮ Measure-theoretical sensitivity and equicontinuity ⋮ Null systems in the non-minimal case ⋮ Weak forms of topological and measure-theoretical equicontinuity: relationships with discrete spectrum and sequence entropy ⋮ Möbius disjointness conjecture for local dendrite maps ⋮ Countable compacta admitting homeomorphisms with positive sequence entropy ⋮ Local entropy theory ⋮ Combinatorial lemmas and applications to dynamics ⋮ Combinatorial independence in measurable dynamics ⋮ Topology and topological sequence entropy

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