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arxiv: 1311.3266 · v2 · pith:DUSKL2HEnew · submitted 2013-11-13 · 🧮 math.DS

Subdiagrams of Bratteli diagrams supporting finite invariant measures

classification 🧮 math.DS
keywords brattelifiniteinvariantdiagramsmeasuremeasuresamongstcharacterize
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We study finite measures on Bratteli diagrams invariant with respect to the tail equivalence relation. Amongst the proved results on finiteness of measure extension, we characterize the vertices of a Bratteli diagram that support an ergodic finite invariant measure.

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