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TCS
2011
12 years 11 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
13 years 10 months 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»
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
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
CORR
2010
Springer
102views Education» more  CORR 2010»
13 years 4 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