Showing math.DSShow all
3 papers · 1 filter
math.DS2024
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…
math.DS2024
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…
math.DS2024
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…