Work

Bratteli diagrams: structure, measures, dynamics

Year: 2015

Type: preprint

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 $X_B$ of a Bratteli diagram $B$, existence of continuous dynamics on $X_B$ compatible with tail equivalence relation, subdiagrams and measure supports. We also discuss the structure of Bratteli diagrams, orbit equivalence and full groups, homeomorphic measures.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1503.03360

Authors: Bezuglyi, S., Karpel, O.

Institutions: B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine, University of Iowa

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4308840422

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