Entropy of dynamical systems with repetition property

DOI10.1007/S10884-010-9190-1zbMath1263.37015OpenAlexW2027980635MaRDI QIDQ650175

Leiye Xu, Yingfei Yi, Wen Huang

Publication date: 25 November 2011

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10884-010-9190-1

zbMATH Keywords

entropyrepetition property

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Topological entropy (37B40) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)

Cites Work

• Unnamed Item
• Some high-complexity Hamiltonians with purely singular continuous spectrum
• Generic singular spectrum for ergodic Schrödinger operators
• Generic continuous spectrum for ergodic Schrödinger operators
• Eigenfunctions, transfer matrices, and absolutely continuous spectrum of one-dimensional Schrödinger operators
• Entropy theorems along times when \(x\) visits a set
• The repetition property for sequences on tori generated by polynomials or skew-shifts
• Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation
• Point-Distal Flows

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