Space-time patterns of cellular automata are studied by using the operator theory. We shall investigate the existence of the limit set of cellular automata by considering the invarinat set of a map. Not only linear transition rules but also non-linear ones are considered
AbstractA subclass of cellular automata called linear cellular automata over Zm is studied. Criteria...
International audienceIn topological dynamics, the generic limit set is the smallest closed subset w...
This paper deals with one-dimensional finite cellular automata with a triplet local transition rule ...
For a p^r-state linear cellular automaton L, we give a systematic set which has one-to-one, onto cor...
AbstractSpace-time patterns of linear cellular automata are studied. Existence of the limit of a ser...
The existing theory of graphical limit sets for cellular automata relies on algebraic structures and...
Cellular Automata (CA) are discrete dynamical systems and an abstract model of parallel computation....
AbstractCellular Automata (CA) are discrete dynamical systems and an abstract model of parallel comp...
Cellular Automata (CA) are discrete dynamical systems and an abstract model of parallel computation....
AbstractRice's theorem is a well-known result in the theory of recursive functions. A corresponding ...
International audienceA one-dimensional cellular automaton is a dynamical system which consisting in...
model of parallel computation. The limit set of a cellular automaton is its maximal topo-logical att...
In this article, we consider a topological dynamical system. The generic limit set is the smallest c...
International audienceA cellular automaton is a parallel synchronous computing model, which consists...
We associate to cellular automata elementary rules a class of interval maps defined in [0,1]. The co...
AbstractA subclass of cellular automata called linear cellular automata over Zm is studied. Criteria...
International audienceIn topological dynamics, the generic limit set is the smallest closed subset w...
This paper deals with one-dimensional finite cellular automata with a triplet local transition rule ...
For a p^r-state linear cellular automaton L, we give a systematic set which has one-to-one, onto cor...
AbstractSpace-time patterns of linear cellular automata are studied. Existence of the limit of a ser...
The existing theory of graphical limit sets for cellular automata relies on algebraic structures and...
Cellular Automata (CA) are discrete dynamical systems and an abstract model of parallel computation....
AbstractCellular Automata (CA) are discrete dynamical systems and an abstract model of parallel comp...
Cellular Automata (CA) are discrete dynamical systems and an abstract model of parallel computation....
AbstractRice's theorem is a well-known result in the theory of recursive functions. A corresponding ...
International audienceA one-dimensional cellular automaton is a dynamical system which consisting in...
model of parallel computation. The limit set of a cellular automaton is its maximal topo-logical att...
In this article, we consider a topological dynamical system. The generic limit set is the smallest c...
International audienceA cellular automaton is a parallel synchronous computing model, which consists...
We associate to cellular automata elementary rules a class of interval maps defined in [0,1]. The co...
AbstractA subclass of cellular automata called linear cellular automata over Zm is studied. Criteria...
International audienceIn topological dynamics, the generic limit set is the smallest closed subset w...
This paper deals with one-dimensional finite cellular automata with a triplet local transition rule ...