Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry]
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Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry], 2015, Volume 11, Number 1, Pages 3–17
DOI: https://doi.org/10.15407/mag11.01.003 (Mi jmag607) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Subdiagrams of Bratteli Diagrams Supporting Finite Invariant Measures

S. Bezuglyia, O. Karpela, J. Kwiatkowskib

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
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DOI: https://doi.org/10.15407/mag11.01.003
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.
Received: 13.11.2013
Revised: 18.04.2014
Bibliographic databases:
Document Type: Article
MSC: Primary 37A05, 37B05; Secondary 28D05, 28C15
Language: English
Citation: S. Bezuglyi, O. Karpel, J. Kwiatkowski, “Subdiagrams of Bratteli Diagrams Supporting Finite Invariant Measures”, Zh. Mat. Fiz. Anal. Geom., 11:1 (2015), 3–17
Citation in format AMSBIB
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\paper Subdiagrams of Bratteli Diagrams Supporting Finite Invariant Measures
\jour Zh. Mat. Fiz. Anal. Geom.
\yr 2015
\vol 11
\issue 1
\pages 3--17
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\crossref{https://doi.org/10.15407/mag11.01.003}
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    • This publication is cited in the following 5 articles:
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