Subdiagrams of Bratteli Diagrams Supporting Finite Invariant Measures

S Bezuglyi; O Karpel; J Kwiatkowski

doi:10.15407/mag11.01.003

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Journal article

Subdiagrams of Bratteli Diagrams Supporting Finite Invariant Measures

S Bezuglyi, O Karpel and J Kwiatkowski

Journal of mathematical physics, analysis, geometry, Vol.11(1), pp.3-17

01/01/2015

DOI: 10.15407/mag11.01.003

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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.

Mathematics

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Physics

Mathematics, Applied

Physics, Mathematical

Science & Technology

Details

Title: Subtitle: Subdiagrams of Bratteli Diagrams Supporting Finite Invariant Measures
Creators: S Bezuglyi - Natl Acad Sci Ukraine, B Verkin Inst Low Temp Phys & Engn, UA-61103 Kharkov, Ukraine
O Karpel - Natl Acad Sci Ukraine, B Verkin Inst Low Temp Phys & Engn, UA-61103 Kharkov, Ukraine
J Kwiatkowski - Kotarbinski Univ Informat Technol & Management, Olsztyn, Poland
Resource Type: Journal article
Publication Details: Journal of mathematical physics, analysis, geometry, Vol.11(1), pp.3-17
Publisher: B VERKIN INST LOW TEMPERATURE PHYSICS & ENGINEERING
DOI: 10.15407/mag11.01.003
ISSN: 1812-9471
eISSN: 1817-5805
Number of pages: 15
Language: English
Date published: 01/01/2015
Academic Unit: Mathematics
Record Identifier: 9984240873002771

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