12 citations · 28 across the 8 of their papers we have counts for
8 papers
Exact number of ergodic invariant measures for Bratteli diagrams
S. Bezuglyi, O. Karpel, J. Kwiatkowski
For a Bratteli diagram , we study the simplex of probability measures on the path space of which are invariant with respect to the tail equivalence relati…
Subdiagrams and invariant measures on Bratteli diagrams
M. Adamska, S. Bezuglyi, O. Karpel +1
We study ergodic finite and infinite measures defined on the path space of a Bratteli diagram which are invariant with respect to the tail equivalence relation on .…
Perfect orderings on Bratteli diagrams
Sergey Bezuglyi, Jan Kwiatkowski, Reem Yassawi
Given a Bratteli diagram B, we study the set O(B) of all possible orderings w on a Bratteli diagram B and its subset P(B) consisting of `perfect' orderings that produce Bratteli-Ve…
Finite Rank Bratteli Diagrams: Structure of Invariant Measures
Sergey Bezuglyi, Jan Kwiatkowski, Konstantin Medynets +1
We consider Bratteli diagrams of finite rank (not necessarily simple) and ergodic invariant measures with respect to the cofinal equivalence relation on their path spaces. It is sh…
Invariant Measures on Stationary Bratteli Diagrams
S. Bezuglyi, J. Kwiatkowski, K. Medynets +1
We study dynamical systems acting on the path space of a stationary (non-simple) Bratteli diagram. For such systems we explicitly describe all ergodic probability measures invarian…
Aperiodic substitutional systems and their Bratteli diagrams
S. Bezuglyi, J. Kwiatkowski, K. Medynets
In the paper we study aperiodic substitutional dynamical systems arisen from non-primitive substitutions. We prove that the Vershik homeomorphism of a stationary ordered Bratte…