A minimal distal map on the torus with sub-exponential measure complexity

DOI10.1017/etds.2018.57zbMath1437.37001OpenAlexW2887786911WikidataQ115563834 ScholiaQ115563834MaRDI QIDQ5220081

Leiye Xu, Wen Huang, Xiang Dong Ye

Publication date: 10 March 2020

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/etds.2018.57

zbMATH Keywords

torusskew product mapsub-exponential measure complexity

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30)

Related Items (3)

Weakly tame systems, their characterizations and applications ⋮ Bounded complexity, mean equicontinuity and discrete spectrum ⋮ Mean equicontinuity, complexity and applications

Cites Work

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• Topological complexity, minimality and systems of order two on torus
• Lyapunov exponents, entropy and periodic orbits for diffeomorphisms
• Measure-theoretic complexity of ergodic systems
• Measure complexity and Möbius disjointness
• Measurable distal and topological distal systems
• Escape of mass and entropy for geodesic flows
• Finite Extensions of Minimal Transformation Groups
• Bounded complexity, mean equicontinuity and discrete spectrum
• From Rate Distortion Theory to Metric Mean Dimension: Variational Principle
• The Structure of Distal Flows
• On the notion of recurrence in discrete stochastic processes

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