12 citations · 41 across the 34 of their papers we have counts for
38 papers
Generalized Bratteli diagrams without probability tail invariant measures
Andrew Barsky, Sergey Bezuglyi
The paper focuses on the following problem: given a generalized Bratteli diagram , determine conditions under which the tail equivalence relation does not admit a t…
Measures and dynamics on Pascal-Bratteli diagrams
Sergey Bezuglyi, Artem Dudko, Olena Karpel
We introduce and study dynamical systems and measures on stationary generalized Bratteli diagrams that are represented as the union of countably many classical Pascal-Bratteli…
Horizontally stationary generalized Bratteli diagrams
Sergey Bezuglyi, Palle E. T. Jorgensen, Olena Karpel +1
Bratteli diagrams with countably infinite levels exhibit a new phenomenon: they can be horizontally stationary. The incidence matrices of these horizontally stationary Bratteli dia…
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…