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» On Local Symmetries and Universality in Cellular Automata
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STACS
2009
Springer
13 years 11 months ago
On Local Symmetries and Universality in Cellular Automata
Cellular automata (CA) are dynamical systems defined by a finite local rule but they are studied for their global dynamics. They can exhibit a wide range of complex behaviours an...
Laurent Boyer, Guillaume Theyssier
JAC
2008
13 years 6 months ago
Rule 110: universality and catenations
Cellular automata are a simple model of parallel computation. Many people wonder about the computing power of such a model. Following an idea of S. Wolfram [16], M. Cook [3] has pr...
Gaétan Richard
CORR
2008
Springer
126views Education» more  CORR 2008»
13 years 6 months ago
Intrinsically Universal Cellular Automata
Abstract. We introduce a natural class of cellular automata characterised by a property of the local transition law without any assumption on the states set. We investigate some al...
Nicolas Ollinger
MCU
1998
170views Hardware» more  MCU 1998»
13 years 6 months ago
About the Universality of the Billiard ball model
Block cellular automata (BCA) make local, parallel, synchronous and uniform updates of in nite lattices. In the one-dimensionalcase, there exist BCA with 11 states which are unive...
Jérôme Olivier Durand-Lose
CG
2010
Springer
13 years 4 months ago
Medley of spirals from cyclic cellular automata
Cyclic cellular automata on the integer planar lattice are known to typically evolve through distinct phases ending with minimal periodic terminal states that usually appear as in...
Clifford A. Reiter