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JAC
2008
13 years 6 months ago
A particle displacement representation for conservation laws in two-dimensional cellular automata
The problem of describing the dynamics of a conserved energy in a cellular automaton in terms of local movements of "particles" (quanta of that energy) has attracted some...
Jarkko Kari, Siamak Taati
JAC
2008
13 years 6 months ago
Amalgamation of cellular automata
In this paper, we study amalgamations of cellular automata (CA), i.e. ways of combining two CA by disjoint union. We show that for several families of CA obtained by simple amalgam...
Guillaume Theyssier
JAC
2008
13 years 6 months ago
Tilings and model theory
In this paper we emphasize the links between model theory and tilings. More precisely, after giving the definitions of what tilings are, we give a natural way to have an interpreta...
Alexis Ballier, Emmanuel Jeandel
JAC
2008
13 years 6 months ago
An exhaustive experimental study of synchronization by forcing on elementary cellular automata
We study a way of coupling two configurations of the same cellular automaton rule for all elementary cellular automata (ECA). We experimentally show that there are only two possibl...
Jean-Baptiste Rouquier
JAC
2008
13 years 6 months ago
Universalities in cellular automata a (short) survey
This reading guide aims to provide the reader with an easy access to the study of universality in the field of cellular automata. To fulfill this goal, the approach taken here is o...
Nicolas Ollinger
JAC
2008
13 years 6 months ago
The spatial structure of odometers in certain cellular automata
Abstract. Recent work has shown that many cellular automata (CA) have configurations whose orbit closures are isomorphic to odometers. We investigate the geometry of the spacetime ...
Marcus Pivato, Reem Yassawi
JAC
2008
13 years 6 months ago
Quantization of cellular automata
Take a cellular automaton, consider that each configuration is a basis vector in some vector space, and linearize the global evolution function. If lucky, the result could actually...
Pablo Arrighi, Vincent Nesme