S. Bezuglyi, O. Karpel, J. Kwiatkowski, “Subdiagrams of Bratteli Diagrams Supporting Finite Invariant Measures”, Zh. Mat. Fiz. Anal. Geom., 2015, Volume 11, Number 1,Pages <nobr>3

This article is cited in 5 papers

Subdiagrams of Bratteli Diagrams Supporting Finite Invariant Measures

S. Bezuglyi^a, O. Karpel^a, J. Kwiatkowski^b

^a B. Verkin Institute for Low Temperature Physics and Engineering, National Academy of Sciences of Ukraine, 47 Lenin Ave., Kharkiv, 61103, Ukraine
^b Kotarbinski University of Information Technology and Management Olsztyn, Poland

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

Key words and phrases: Bratteli diagrams, ergodic invariant measures, measure support, tail equivalence relation, Cantor set.

MSC: Primary 37A05, 37B05; Secondary 28D05, 28C15

Received: 13.11.2013
Revised: 18.04.2014

Language: English

DOI: 10.15407/mag11.01.003