From odometers to circular systems: a global structure theorem

DOI10.3934/jmd.2019024OpenAlexW2993254126MaRDI QIDQ2026746

Yanyan Li

Publication date: 20 May 2021

Published in: Journal of Modern Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.07093

zbMATH Keywords

odometersAnosov-Katok methodcircular systemsclassification of ergodic transformationsdistal transformations

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15)

Related Items (8)

Measure preserving diffeomorphisms of the torus are unclassifiable ⋮ Real-analytic realization of uniform circular systems and some applications ⋮ Odometer based systems ⋮ Set theory. Abstracts from the workshop held January 9--15, 2022 ⋮ A smooth zero-entropy diffeomorphism whose product with itself is loosely Bernoulli ⋮ A symbolic representation for Anosov-Katok systems ⋮ GÖDEL DIFFEOMORPHISMS ⋮ Loosely Bernoulli odometer-based systems whose corresponding circular systems are not loosely Bernoulli

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The conjugacy problem in ergodic theory
• A criterion for a process to be prime
• The Choquet simplex of invariant measures for minimal flows
• Ergodic actions with generalized discrete spectrum
• A symbolic representation for Anosov-Katok systems
• Operator methods in classical mechanics. II
• On invariants for measure preserving transformations
• Borel Structures and Invariants for Measurable Transformations
• The complexity of the collection of measure-distal transformations

This page was built for publication: From odometers to circular systems: a global structure theorem