A class of cellular automata equivalent to deterministic particle systems
Cellular Automata and Lattice Gases
2023-12-18 v1
Abstract
We demonstrate that a local mapping f in a space of bisequences over {0,1} which conserves the number of nonzero sites can be viewed as a deterministic particle system evolving according to a local mapping in a space of increasing bisequences over Z. We present an algorithm for determination of the local mapping in the space of particle coordinates corresponding to the local mapping f.
Cite
@article{arxiv.nlin/0207047,
title = {A class of cellular automata equivalent to deterministic particle systems},
author = {Henryk Fuks},
journal= {arXiv preprint arXiv:nlin/0207047},
year = {2023}
}
Comments
14 pages