2 citations · 2 across the 5 of their papers we have counts for
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Inverse limit method for generalized Bratteli diagrams and invariant measures
Sergey Bezuglyi, Olena Karpel, Jan Kwiatkowski +1
Generalized Bratteli diagrams with a countable set of vertices in every level are models for aperiodic Borel automorphisms. This paper is devoted to the description of all ergodic…
Invariant measures for reducible generalized Bratteli diagrams
Sergey Bezuglyi, Olena Karpel, Jan Kwiatkowski
In 2010, Bezuglyi, Kwiatkowski, Medynets and Solomyak [Ergodic Theory Dynam. Systems 30 (2010), no.4, 973-1007] found a complete description of the set of probability ergodic tail…
Measurable multiresolution systems, endomorphisms, and representations of Cuntz relations
Sergey Bezuglyi, Palle E. T. Jorgensen
The purpose of this paper is to present new classes of function systems as part of multiresolution analyses. Our approach is representation theoretic, and it makes use of generaliz…
Representations of Cuntz-Krieger relations, dynamics on Bratteli diagrams, and path-space measures
Sergey Bezuglyi, Palle E. T. Jorgensen
We study a new class of representations of the Cuntz-Krieger algebras constructed by semibranching function systems, naturally related to stationary Bratteli diagram…
Homeomorphic measures on stationary Bratteli diagrams
S. Bezuglyi, O. Karpel
We study the set S of ergodic probability Borel measures on stationary non-simple Bratteli diagrams which are invariant with respect to the tail equivalence relation. Equivalently,…