3 papers
math.PR2025
Random burning of the Euclidean torus
Guillaume Blanc, Alice Contat
The burning number of a graph is the minimal number of steps that are needed to burn all of its vertices, with the following burning procedure: at each step, one can choose a point…
math.CA2025
Blow-up rate of solution to generalised Blasius equation
Guillaume Blanc, Alice Contat
We identify the blow-up rate of a solution to a generalised Blasius equation, that we came across while studying a probabilistic model of "Poissonian burning" in Euclidean space. O…
math.PR2023
Percolation with invariant Poisson processes of lines in the -regular tree
Guillaume Blanc
In this paper, we study invariant Poisson processes of lines (i.e, bi-infinite geodesics) in the -regular tree. More precisely, there exists a unique (up to multiplicative const…