A relative, strictly ergodic model theorem for infinite measure-preserving systems

DOI10.1007/s11854-020-0098-3zbMath1442.37014arXiv1709.05387OpenAlexW3018746913WikidataQ114221661 ScholiaQ114221661MaRDI QIDQ2177502

Hisatoshi Yuasa

Publication date: 6 May 2020

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.05387

zbMATH Keywords

measure-preserving transformationscompact Cantor modelinfinite Lebesgue spaces

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Ergodicity, mixing, rates of mixing (37A25) General groups of measure-preserving transformations and dynamical systems (37A15) Nonsingular (and infinite-measure preserving) transformations (37A40)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Uniform sets for infinite measure-preserving systems
• Realisation of measured dynamics as uniquely ergodic minimal homeomorphisms on manifolds
• Kolmogorov's extension theorem for infinite measures
• A characterization of substitutive sequences using return words
• Invariant measures for the subshifts arising from non-primitive substitutions
• STRONG ORBIT EQUIVALENCE OF LOCALLY COMPACT CANTOR MINIMAL SYSTEMS
• Substitutional dynamical systems, Bratteli diagrams and dimension groups
• ORDERED BRATTELI DIAGRAMS, DIMENSION GROUPS AND TOPOLOGICAL DYNAMICS
• Strictly ergodic models for dynamical systems
• Topological orbit equivalence of locally compact Cantor minimal systems
• Chain recurrence and strong chain recurrence on uniform spaces
• Infinite measure preserving transformations with “mixing”

This page was built for publication: A relative, strictly ergodic model theorem for infinite measure-preserving systems