Extended Cellular Automata

Fuente: arXiv
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Main Authors: Mehdipour, Pouya, Salarinoghabi, Mostafa, Gibrim, Paula
Format: Preprint
Published: 2025
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_version_ 1866910842591641600
author Mehdipour, Pouya
Salarinoghabi, Mostafa
Gibrim, Paula
author_facet Mehdipour, Pouya
Salarinoghabi, Mostafa
Gibrim, Paula
contents In this work, the one-dimensional Cellular Automaton is extended to one that involves two sets of symbols and two global rules. As a main result, the Extended Curtis-Hedlund-Lyndon Theorem is demonstrated. Such constructions can be useful in studying complex systems involving two related phenomena and provide a way to their co-study.
format Preprint
id arxiv_https___arxiv_org_abs_2502_17065
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Extended Cellular Automata
Mehdipour, Pouya
Salarinoghabi, Mostafa
Gibrim, Paula
Cellular Automata and Lattice Gases
Mathematical Physics
Dynamical Systems
Chaotic Dynamics
Primary: 37Bxx, 68Qxx. Secondary: 37B10, 37B15, 68Q80
In this work, the one-dimensional Cellular Automaton is extended to one that involves two sets of symbols and two global rules. As a main result, the Extended Curtis-Hedlund-Lyndon Theorem is demonstrated. Such constructions can be useful in studying complex systems involving two related phenomena and provide a way to their co-study.
title Extended Cellular Automata
topic Cellular Automata and Lattice Gases
Mathematical Physics
Dynamical Systems
Chaotic Dynamics
Primary: 37Bxx, 68Qxx. Secondary: 37B10, 37B15, 68Q80
url https://arxiv.org/abs/2502.17065