Journal article
Substitution-dynamics and invariant measures for infinite alphabet-path space
Advances in applied mathematics, Vol.156, p.102687
05/01/2024
DOI: 10.1016/j.aam.2024.102687
Abstract
We study substitutions on a countably infinite alphabet (without compactification) as Borel dynamical systems. We construct stationary and non -stationary generalized BratteliVershik 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. (c) 2024 Elsevier Inc. All rights reserved.
Details
- Title: Subtitle
- Substitution-dynamics and invariant measures for infinite alphabet-path space
- Creators
- Sergey Bezuglyi - University of IowaPalle E. T. Jorgensen - Univ Iowa, Dept Math, Iowa City, IA 52242 USAShrey Sanadhya - Ben-Gurion University of the Negev
- Resource Type
- Journal article
- Publication Details
- Advances in applied mathematics, Vol.156, p.102687
- DOI
- 10.1016/j.aam.2024.102687
- ISSN
- 0196-8858
- eISSN
- 1090-2074
- Publisher
- Elsevier
- Number of pages
- 39
- Language
- English
- Date published
- 05/01/2024
- Academic Unit
- Mathematics
- Record Identifier
- 9984936609602771
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