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  Linear cellular automata with boundary conditions. www.depaul.edu/~wchin (2000) [1 citations — 0 self]

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by William Chin, Barbara Cortzen, Jerry Goldman
http://www.depaul.edu/~wchin/lca.ps
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Abstract:

Traditionally, a cellular automaton is a system consisting of sites on a lattice, which correspond to cell processor memory having finite field elements as values, and which evolve synchronously over discrete time according to a given local interaction rule called the state transition function [10, 11]. At

Citations

298 Theory of Self-Reproducing Automata – Neumann - 1966
31 Algebraic properties of cellular automata – Martin, Odlyzko, et al.
15 Statistical Mechanics of Cellular Automata, Rev. Mod. Phys – Wolfram - 1983
9 Linear cellular automata and Fischer automata – Sutner - 1997
6 Linear Cellular Automata and De Bruijn Automata – Sutner - 1999
5 Exact results for deterministic cellular automata with additive rules – Guan, He - 1986
5 σ-automata and chebyshev-polynomials – Sutner - 2000
2 Cellular Automata and Recurring Sequences in Finite Fields – Jen, Linear - 1988
1 Methods of Representation Theory, vol.I – Curtis, Reiner - 1981
1 de Bergh, Algebraic Properties of Linear Cellular Automata – LeBruyn, Van - 1991