Substitution-dynamics and invariant measures for infinite alphabet-path space

Autor:	Bezuglyi, Sergey, Jorgensen, Palle E. T., Sanadhya, Shrey
Rok vydání:	2022
Předmět:	Mathematics - Dynamical Systems 37B10 37A05 37B05 37A40 54H05 05C60
Druh dokumentu:	Working Paper
Popis:	We study substitutions on countably infinite alphabet (without compactification) as Borel dynamical systems. We construct stationary and non-stationary generalized Bratteli-Vershik models for a class of such substitutions, known as left determined. In this setting of Borel dynamics, using a stationary generalized Bratteli-Vershik model, we provide a new and canonical construction of shift-invariant measures (both finite and infinite) for the associated class of subshifts. Comment: This is the journal version. To appear in advances in app. math
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2203.14127 Zobrazit plný text záznamu View this record from Arxiv