Substitution-dynamics and invariant measures for infinite alphabet-path space
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866909128907030528 |
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| author | Bezuglyi, Sergey Jorgensen, Palle E. T. Sanadhya, Shrey |
| author_facet | Bezuglyi, Sergey Jorgensen, Palle E. T. Sanadhya, Shrey |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2203_14127 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Substitution-dynamics and invariant measures for infinite alphabet-path space Bezuglyi, Sergey Jorgensen, Palle E. T. Sanadhya, Shrey Dynamical Systems 37B10, 37A05, 37B05, 37A40, 54H05, 05C60 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. |
| title | Substitution-dynamics and invariant measures for infinite alphabet-path space |
| topic | Dynamical Systems 37B10, 37A05, 37B05, 37A40, 54H05, 05C60 |
| url | https://arxiv.org/abs/2203.14127 |