Bounded complexity, mean equicontinuity and discrete spectrum
DOI10.1017/etds.2019.66zbMath1456.37015arXiv1806.02980OpenAlexW2806674538WikidataQ114119500 ScholiaQ114119500MaRDI QIDQ5135919
Wen Huang, Jian Li, Leiye Xu, Jean-Paul Thouvenot, Xiang Dong Ye
Publication date: 24 November 2020
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1806.02980
Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Dynamics in general topological spaces (37B02)
Related Items (24)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Isomorphic extensions and applications
- Measure-theoretical sensitivity and equicontinuity
- Mean-L-stable systems
- Lyapunov exponents, entropy and periodic orbits for diffeomorphisms
- Measure-theoretic complexity of ergodic systems
- How chaotic is an almost mean equicontinuous system?
- Measure complexity and Möbius disjointness
- Geometry and dynamics of admissible metrics in measure spaces
- Complexity of nilsystems and systems lacking nilfactors
- On the isomorphism problem for non-minimal transformations with discrete spectrum
- A note on mean equicontinuity
- Measure-theoretic mean equicontinuity and bounded complexity
- Special flow, weak mixing and complexity.
- Topological realizations of families of ergodic automorphisms, multitowers and orbit equivalence
- Minimal models for noninvertible and not uniquely ergodic systems
- Mean proximality and mean Li-Yorke chaos
- Weak forms of topological and measure-theoretical equicontinuity: relationships with discrete spectrum and sequence entropy
- Measure-theoretic sensitivity via finite partitions
- Topological complexity
- Nilpotent Structures in Ergodic Theory
- Escape of mass and entropy for geodesic flows
- Stability Properties of Flows with Pure Point Spectrum
- Real Analysis and Probability
- A minimal distal map on the torus with sub-exponential measure complexity
- Nonexpansive $\mathbb {Z}^2$-subdynamics and Nivat’s Conjecture
- A characterization of 𝜇-equicontinuity for topological dynamical systems
- From Rate Distortion Theory to Metric Mean Dimension: Variational Principle
- Strict Ergodicity and Transformation of the Torus
- Mean equicontinuity and mean sensitivity
- Ergodic sets
This page was built for publication: Bounded complexity, mean equicontinuity and discrete spectrum