Structure and dimension of invariant subsets of expanding Markov maps and joint invariance

DOI10.1080/14689367.2023.2194520OpenAlexW4360978902MaRDI QIDQ6133397

Georgios Lamprinakis

Publication date: 24 July 2023

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14689367.2023.2194520

zbMATH Keywords

symbolic dynamicsdimension theory\(\beta\)-expansionexpanding Markov mapsjoint invariant subset

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Symbolic dynamics (37B10) Dimension theory of smooth dynamical systems (37C45)

Cites Work

• Unnamed Item
• Unnamed Item
• There are no \(C^{1}\)-stable intersections of regular Cantor sets
• On numbers badly approximable by dyadic rationals
• Ergodic theory on compact spaces
• Dimension and measure theoretic entropy of a subshift in symbolic space
• Smooth symmetries of \(\times a\)-invariant sets
• Some abstract properties of the set of invariant sets of a flow
• Commuting endomorphisms of the circle
• On theβ-expansions of real numbers
• Invariant subsets of expanding mappings of the circle
• Symbolic dynamics for $\beta$-shifts and self-normal numbers
• An Introduction to Symbolic Dynamics and Coding
• Measure rigidity for random dynamics on surfaces and related skew products
• Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation
• Ergodic Theory

This page was built for publication: Structure and dimension of invariant subsets of expanding Markov maps and joint invariance