12 citations · 41 across the 34 of their papers we have counts for
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Bratteli diagrams in Borel dynamics
Sergey Bezuglyi, Palle E. T. Jorgensen, Olena Karpel +1
Bratteli-Vershik models have been very successfully applied to the study of various dynamical systems, in particular, in Cantor dynamics. In this paper, we study dynamics on the pa…
IFS measures on generalized Bratteli diagrams
Sergey Bezuglyi, Palle E. T. Jorgensen
The purpose of the paper is a general analysis of path space measures. Our focus is a certain path space analysis on generalized Bratteli diagrams. We use this in a systematic stud…
Substitution-dynamics and invariant measures for infinite alphabet-path space
Sergey Bezuglyi, Palle E. T. Jorgensen, Shrey Sanadhya
We study substitutions on countably infinite alphabet (without compactification) as Borel dynamical systems. We construct stationary and non-stationary generalized Bratteli-Vershik…