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TCS
2011
15 years 1 months ago
Communication complexity and intrinsic universality in cellular automata
Let F be a cellular automaton (CA). This paper establishes necessary conditions for F in order to be intrinsically universal. The central idea is to consider the communication com...
Eric Goles Chacc, Pierre-Etienne Meunier, Ivan Rap...
STACS
2005
Springer
16 years 2 days ago
How Common Can Be Universality for Cellular Automata?
Abstract. We address the problem of the density of intrinsically universal cellular automata among cellular automata or a subclass of cellular automata. We show that captive cellul...
Guillaume Theyssier
CORR
2008
Springer
126views Education» more  CORR 2008»
15 years 8 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
STACS
2009
Springer
16 years 1 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
CORR
2010
Springer
102views Education» more  CORR 2010»
15 years 6 months ago
On Factor Universality in Symbolic Spaces
The study of factoring relations between subshifts or cellular automata is central in symbolic dynamics. Besides, a notion of intrinsic universality for cellular automata based on ...
Laurent Boyer, Guillaume Theyssier