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arXiv · 2203.14127

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

Sergey Bezuglyi·Palle E. T. Jorgensen·Shrey Sanadhya
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Abstract

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.

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Sergey Bezuglyi, Palle E. T. Jorgensen, Shrey Sanadhya. 2024-03-06. Substitution-dynamics and invariant measures for infinite alphabet-path space. https://arxiv.org/abs/2203.14127

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