Felipe García-Ramos - Product decomposition for surjective 2-block NCCA

dmtcs:2971 - Discrete Mathematics & Theoretical Computer Science, January 1, 2011, DMTCS Proceedings vol. AP, Automata 2011 - 17th International Workshop on Cellular Automata and Discrete Complex Systems - https://doi.org/10.46298/dmtcs.2971
Product decomposition for surjective 2-block NCCAConference paper

Authors: Felipe García-Ramos ORCID1,2

In this paper we define products of one-dimensional Number Conserving Cellular Automata (NCCA) and show that surjective NCCA with 2 blocks (i.e radius 1/2) can always be represented as products of shifts and identites. In particular, this shows that surjective 2-block NCCA are injective.

https://doi.org/10.46298/dmtcs.2971
Source: HAL:hal-01196138v1
Volume: DMTCS Proceedings vol. AP, Automata 2011 - 17th International Workshop on Cellular Automata and Discrete Complex Systems
Section: Proceedings
Published on: January 1, 2011
Imported on: January 31, 2017
Keywords: Discrete dynamical systems,cellular automata,number conserving cellular automata,conservation laws,characterization of surjective NCCA,[INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM],[MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS],[NLIN.NLIN-CG]Nonlinear Sciences [physics]/Cellular Automata and Lattice Gases [nlin.CG],[MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO]

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