6 papers · 1 filter
Isomoprhism of generalized Bratteli diagrams
Olena Karpel
We study the notion of isomorphism for generalized Bratteli diagrams and investigate properties preserved under isomorphism. We show that every generalized Bratteli diagram is isom…
Subdiagrams and invariant measures for generalized Bratteli diagrams
Sergey Bezuglyi, Palle Jorgensen, Olena Karpel +2
The results of this paper contribute to the study of invariant measures of Borel dynamical systems that can be modeled using generalized Bratteli diagrams. In this context, we stud…
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…
Rigidity and Toeplitz systems
Henk Bruin, Olena Karpel, Piotr Oprocha +1
The aim of this paper is to study measure-theoretical rigidity and partial rigidity for classes of Cantor dynamical systems including Toeplitz systems and enumeration systems. We u…
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…