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math.PR2017★ 14 cited
Ergodicity of some classes of cellular automata subject to noise
Irène Marcovici, Mathieu Sablik, Siamak Taati
Cellular automata (CA) are dynamical systems on symbolic configurations on the lattice. They are also used as models of massively parallel computers. As dynamical systems, one woul…
math.PR2017
Probabilistic cellular automata with memory two: invariant laws and multidirectional reversibility
Jérôme Casse, Irène Marcovici
We focus on a family of one-dimensional probabilistic cellular automata with memory two: the dynamics is such that the value of a given cell at time is drawn according to a d…