Measures and dynamics on Pascal-Bratteli diagrams

Autor:	Bezuglyi, Sergey, Dudko, Artem, Karpel, Olena
Rok vydání:	2024
Předmět:	Mathematics - Dynamical Systems 37A05 37B05 37A40 54H05 28D05
Druh dokumentu:	Working Paper
Popis:	We introduce stationary generalized Bratteli diagrams $B$ which are represented as the union of countably many classical Pascal-Bratteli diagrams. We describe all ergodic invariant measures on $B$. We show that there exist orders which produce no infinite minimal or maximal paths and the corresponding Vershik map is a homeomorphism. We also describe orders that generate uncountably many infinite minimal and uncountably many infinite maximal paths both on $B$ and on the classical Pascal-Bratteli diagram. Comment: 14 pages, 4 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2411.06280 Zobrazit plný text záznamu View this record from Arxiv