4 papers · 1 filter
Corner percolation with preferential directions
Régine Marchand, Irène Marcovici, Pierrick Siest
Corner percolation is a dependent bond percolation model on Z^2 introduced by Bálint Tóth, in which each vertex has exactly two incident edges, perpendicular to each other. Gábor P…
A general stochastic matching model on multigraphs
Jocelyn Begeot, Irène Marcovici, Pascal Moyal +1
We extend the general stochastic matching model on graphs introduced in (Mairesse and Moyal, 2016), to matching models on multigraphs, that is, graphs with self-loops. The evolutio…
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…
Probabilistic cellular automata and random fields with i.i.d. directions
Jean Mairesse, Irene Marcovici
Let us consider the simplest model of one-dimensional probabilistic cellular automata (PCA). The cells are indexed by the integers, the alphabet is {0, 1}, and all the cells evolve…