2 papers
math.PR2026
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…
math.PR2025
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…