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arXiv · 1503.03360

Bratteli diagrams: structure, measures, dynamics

S. Bezuglyi·O. Karpel
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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.

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S. Bezuglyi, O. Karpel. 2015-03-11. Bratteli diagrams: structure, measures, dynamics. https://arxiv.org/abs/1503.03360

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