Conference proceeding
Invariant measures for Cantor dynamical systems
DYNAMICS: TOPOLOGY AND NUMBERS, Vol.744, pp.259-295
Contemporary Mathematics
01/01/2020
DOI: 10.1090/conm/744/14988
Abstract
This paper is a survey devoted to the study of probability and infinite ergodic invariant measures for aperiodic homeomorphisms of a Cantor set. We focus mostly on the cases when a homeomorphism has either a unique ergodic invariant measure or finitely many such measures (finitely ergodic homeomorphisms). Since every Cantor dynamical system (X, T) can be realized as a Vershik map acting on the path space of a Bratteli diagram, we use combinatorial methods developed in symbolic dynamics and Bratteli diagrams during the last decade to study the simplex of invariant measures.
Details
- Title: Subtitle
- Invariant measures for Cantor dynamical systems
- Creators
- Sergey Bezuglyi - University of IowaOlena Karpel - Natl Acad Sci Ukraine, B Verkin Inst Low Temp Phys & Engn, UA-61103 Kharkiv, Ukraine
- Contributors
- P Moree (Editor)A Pohl (Editor)L U Snoha (Editor)T Ward (Editor)
- Resource Type
- Conference proceeding
- Publication Details
- DYNAMICS: TOPOLOGY AND NUMBERS, Vol.744, pp.259-295
- Series
- Contemporary Mathematics
- DOI
- 10.1090/conm/744/14988
- ISSN
- 0271-4132
- eISSN
- 1098-3627
- Publisher
- Amer Mathematical Soc
- Number of pages
- 37
- Grant note
- 0199U192376 / NAS of Ukraine (project "Qualitative, asymptotic and numerical analysis of various classes of differential equations and dynamical systems, their classification, and practical application")
- Language
- English
- Date published
- 01/01/2020
- Academic Unit
- Mathematics
- Record Identifier
- 9984936496202771
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