14 citations · 15 across the 17 of their papers we have counts for
22 papers
Gilbert's disc model conditioned on the square lattice
Jérôme Casse, Irène Marcovici, Maxence Poutrel
We present a new percolation model on the two-dimensional lattice, which can be seen as a conditioned version of continuous percolation on the plane. Let us place a point uniformly…
Frequencies of Patterns in Smooth Sequences Over the Alphabet
Damien Jamet, Irène Marcovici, Léo Poirier +1
We provide an ergodic theory framework to study statistical properties of smooth sequences over the odd alphabet {1,3}. The arithmetic nature of this alphabet yields a partition of…
Positive-rate PCA and IPS with stationary Bernoulli measures are rapidly forgetful
Irène Marcovici, Siamak Taati
We prove that every probabilistic cellular automaton with strictly positive transition probabilities that admits a stationary Bernoulli measure is exponentially ergodic. Moreover,…
Frequency of patterns in smooth sequences over the alphabet \{1, 3\}
Damien Jamet, Irène Marcovici, Léo Poirier +1
We provide an ergodic theory framework to study statistical properties of smooth sequences over the odd alphabet {1, 3}. The arithmetic nature of this alphabet yields a partition o…
Ergodicity of the hard-core PCA with a random walk method
Jérôme Casse, Irène Marcovici, Maxence Poutrel
The hard-core probabilistic cellular automaton has attracted a renewed interest in the last few years, thanks to its connection with the study of a combinatorial game on percolatio…
Richardson's model and the contact process with stirring: long time behavior
Régine Marchand, Irène Marcovici, Pierrick Siest
We study two famous interacting particle systems, the so-called Richardson's model and the contact process, when we add a stirring dynamics to them. We prove that they both satisfy…