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Bratteli diagrams: Structure, measures, dynamics
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Bratteli diagrams: Structure, measures, dynamics

S. Bezuglyi and O. Karpel
DYNAMICS AND NUMBERS, Vol.669, pp.1-36
Contemporary Mathematics
01/01/2016
DOI: 10.1090/conm/669/13421

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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.
Mathematics Physical Sciences Science & Technology

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