International audienceWe prove that topologically isomorphic linear cellular automaton shifts are algebraically isomorphic. Using this, we show that two distinct such shifts cannot be isomorphic. We conclude that the automorphism group of a linear cellular automaton shift is a finitely generated abelian group
AbstractConsider the space of configurations from a finitely generated group to a finite alphabet. W...
We compute an explicit representation of the (topological) automorphism group or a particular Toepli...
We study cellular automata as discrete dynamical systems and in particular investigate under which c...
We prove that topologically isomorphic linear cellular automaton shifts are algebraically isomorphic...
International audienceWe prove that topologically isomorphic linear cellular automaton shifts are al...
In this thesis we study measurable and topological dynamics of certain classes of cellular automata...
Given a compact group G, a standard construction of a Z2 Markov shift SG with alphabet G is describe...
We prove that the group of reversible cellular automata (RCA), on any alphabet A, contains a subgrou...
We show that the automorphism group of a one-dimensional full shift (the group of reversible cellul...
AbstractWhen G is an arbitrary group and V is a finite-dimensional vector space, it is known that ev...
We consider the range of possible dynamics of cellular automata (CA) on two-sided beta-shifts Sβ and...
We investigate decidable properties for regular cellular automata. In particular, we show that regu...
We show that the measure preserving action of Z2 dual to the action defined by the commuting automor...
Abstract. Let M = ZD be a D-dimensional lattice, and let (A, +) be an abelian group. AM is then a co...
Many undecidable questions concerning cellular automata are known to be decidable when the cellular ...
AbstractConsider the space of configurations from a finitely generated group to a finite alphabet. W...
We compute an explicit representation of the (topological) automorphism group or a particular Toepli...
We study cellular automata as discrete dynamical systems and in particular investigate under which c...
We prove that topologically isomorphic linear cellular automaton shifts are algebraically isomorphic...
International audienceWe prove that topologically isomorphic linear cellular automaton shifts are al...
In this thesis we study measurable and topological dynamics of certain classes of cellular automata...
Given a compact group G, a standard construction of a Z2 Markov shift SG with alphabet G is describe...
We prove that the group of reversible cellular automata (RCA), on any alphabet A, contains a subgrou...
We show that the automorphism group of a one-dimensional full shift (the group of reversible cellul...
AbstractWhen G is an arbitrary group and V is a finite-dimensional vector space, it is known that ev...
We consider the range of possible dynamics of cellular automata (CA) on two-sided beta-shifts Sβ and...
We investigate decidable properties for regular cellular automata. In particular, we show that regu...
We show that the measure preserving action of Z2 dual to the action defined by the commuting automor...
Abstract. Let M = ZD be a D-dimensional lattice, and let (A, +) be an abelian group. AM is then a co...
Many undecidable questions concerning cellular automata are known to be decidable when the cellular ...
AbstractConsider the space of configurations from a finitely generated group to a finite alphabet. W...
We compute an explicit representation of the (topological) automorphism group or a particular Toepli...
We study cellular automata as discrete dynamical systems and in particular investigate under which c...
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