An Invitation to Number-Conserving Cellular Automata
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866909628540911616 |
|---|---|
| author | Redeker, Markus |
| author_facet | Redeker, Markus |
| contents | Number-conserving cellular automata are discrete dynamical systems that simulate interacting particles like e.g. grains of sand. In an earlier paper, I had already derived a uniform construction for all transition rules of one-dimensional number-conserving automata. Here I describe in greater detail how one can simulate the automata on a computer and how to find interesting rules. I show several rules that I have found this way and also some theorems about the space of number-conserving automata. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_00060 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | An Invitation to Number-Conserving Cellular Automata Redeker, Markus Cellular Automata and Lattice Gases 37B15 (Primary) 06D99 (Secondary) F.1.1 Number-conserving cellular automata are discrete dynamical systems that simulate interacting particles like e.g. grains of sand. In an earlier paper, I had already derived a uniform construction for all transition rules of one-dimensional number-conserving automata. Here I describe in greater detail how one can simulate the automata on a computer and how to find interesting rules. I show several rules that I have found this way and also some theorems about the space of number-conserving automata. |
| title | An Invitation to Number-Conserving Cellular Automata |
| topic | Cellular Automata and Lattice Gases 37B15 (Primary) 06D99 (Secondary) F.1.1 |
| url | https://arxiv.org/abs/2308.00060 |