From the 1 of 4 linked papers with an AI index.
4 papers
Gilbert's disc model conditioned on the square lattice
Jérôme Casse, Irène Marcovici, Maxence Poutrel
The paper defines a percolation model on the 2‑D integer lattice by placing a uniformly random point in each unit cell and connecting points whose Euclidean distance is below a rad…
Random trees with local catastrophes: the Brownian case
Ariane Carrance, Jérôme Casse, Nicolas Curien
We introduce and study a model of plane random trees generalizing the famous Bienaymé--Galton--Watson model but where births and deaths are locally correlated. More precisely, giv…
Quasi-reversible bullet models: colliding bullet model with creations and a new(?) loop model
Jérôme Casse
We consider a large class of bullet models that contains, in particular, the colliding bullet model with creations and a new loop model. For this large class of bullet models, we g…
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…