On the Garden of Eden theorem for B-free subshifts
Fuente:
arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2021
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| _version_ | 1866909303684726784 |
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| author | Keller, Gerhard Lemanczyk, Mariusz Richard, Christoph Sell, Daniel |
| author_facet | Keller, Gerhard Lemanczyk, Mariusz Richard, Christoph Sell, Daniel |
| contents | We prove that on B-free subshifts, with B satisfying the Erdös condition, all cellular automata are determined by monotone sliding block codes. In particular, this implies the validity of the Garden of Eden theorem for such systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2106_14673 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | On the Garden of Eden theorem for B-free subshifts Keller, Gerhard Lemanczyk, Mariusz Richard, Christoph Sell, Daniel Dynamical Systems We prove that on B-free subshifts, with B satisfying the Erdös condition, all cellular automata are determined by monotone sliding block codes. In particular, this implies the validity of the Garden of Eden theorem for such systems. |
| title | On the Garden of Eden theorem for B-free subshifts |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2106.14673 |