Subdiagrams of Bratteli diagrams supporting finite invariant measures

2013/11/13 by S. Bezuglyi, Bezuglyi, S., O. Karpel +3
Mathematics · #28C15 (Secondary) #37A05 #37B05 (Primary) 28D05 #Dynamical Systems (math.DS) #FOS: Mathematics #math.DS #msc:28C15 #msc:28D05 #msc:37A05 #msc:37B05

paper · pdf · doi:10.48550/arxiv.1311.3266

9 pages

arxiv created 2014/03/25 · arxiv updated 2014/03/26

Abstract

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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