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Discrete Mathematics & Theoretical Computer Science |
2971
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.2971Product decomposition for surjective 2-block NCCA
Authors: Felipe García-Ramos 
1
- 1 University of British Columbia
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.
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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IsRelatedTo ARXIV 1311.2319 Source : ScholeXplorer IsRelatedTo DOI 10.1007/s10955-015-1281-2 Source : ScholeXplorer IsRelatedTo DOI 10.48550/arxiv.1311.2319 Source : ScholeXplorer IsRelatedTo HANDLE 1887/3197441
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