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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…
A note on reduction of tiling problems
Tom Meyerovitch, Shrey Sanadhya, Yaar Solomon
We show that translational tiling problems in a quotient of can be effectively reduced or ``simulated'' by translational tiling problems in . In partic…
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…