Bratteli diagrams: structure, measures, dynamics

S Bezuglyi; O Karpel

doi:10.48550/arXiv.1503.03360

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Bratteli diagrams: structure, measures, dynamics

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Bratteli diagrams: structure, measures, dynamics

S Bezuglyi and O Karpel

ArXiv.org

03/11/2015

DOI: 10.48550/arXiv.1503.03360

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Preprint (Author's original)This preprint has not been evaluated by subject experts through peer review. Preprints may undergo extensive changes and/or become peer-reviewed journal articles. Open Access

Abstract

This paper is a survey on general (simple and non-simple) Bratteli diagrams which focuses on the following topics: finite and infinite tail invariant measures on the path space XB of a Bratteli diagram B, existence of continuous dynamics on XB compatible with tail equivalence relation, subdiagrams and measure supports. We also discuss the structure of Bratteli diagrams, orbit equivalence and full groups, homeomorphic measures.

Mathematics - Dynamical Systems

Details

Title: Subtitle: Bratteli diagrams: structure, measures, dynamics
Creators: S Bezuglyi
O Karpel
Resource Type: Preprint
Publication Details: ArXiv.org
DOI: 10.48550/arXiv.1503.03360
ISSN: 2331-8422
Language: English
Date posted: 03/11/2015
Academic Unit: Mathematics
Record Identifier: 9984240869702771

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