On conservative and monotone one-dimensional cellular automata and their particle representation

DOI10.1016/j.tcs.2004.06.010zbMath1071.68068arXivnlin/0306040OpenAlexW2049450484MaRDI QIDQ1884852

Eric Goles Chacc, Andrés Moreira, Nino Boccara

Publication date: 27 October 2004

Published in: Theoretical Computer Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0306040

zbMATH Keywords

Cellular automataInteracting particlesNumber-conserving systems

Mathematics Subject Classification ID

Cellular automata (computational aspects) (68Q80) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Dynamical aspects of cellular automata (37B15)

Related Items (13)

Characterization of random fluctuation-based computation in cellular automata ⋮ Statistical mechanics of surjective cellular automata ⋮ On the relationship between fuzzy and Boolean cellular automata ⋮ A decomposition theorem for number-conserving multi-state cellular automata on triangular grids ⋮ Fluctuation-driven computing on number-conserving cellular automata ⋮ On the hierarchy of conservation laws in a cellular automaton ⋮ Communication complexity in number-conserving and monotone cellular automata ⋮ Construction of One-Dimensional Nonuniform Number Conserving Elementary Cellular Automata Rules ⋮ A split-and-perturb decomposition of number-conserving cellular automata ⋮ MOTION REPRESENTATION OF ONE-DIMENSIONAL CELLULAR AUTOMATON RULES ⋮ A new dimension sensitive property for cellular automata ⋮ EVENTUALLY NUMBER-CONSERVING CELLULAR AUTOMATA ⋮ Universality and decidability of number-conserving cellular automata

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