Nicolas Bouchot

collaborators

4 papers

math.PR2026

Some properties of the principal Dirichlet eigenfunction in Lipschitz domains, via probabilistic couplings

Quentin Berger, Nicolas Bouchot

We study a discrete and continuous version of the spectral Dirichlet problem in an open bounded connected set $I^c ◯ \subset R^{d}$ , in dimension $d \geq 2$ . More precisely, cons…

math.PR2025

Covering of an inner subset by the confined random walk

Nicolas Bouchot

We consider the simple random walk conditioned to stay forever in a finite domain $D_{N} \subset Z^{d}, d \geq 3$ of typical size $N$ . This confined walk is a random walk on t…

math.PR2025

How thin does random interlacement have to be so that a random walk can see through it?

Nicolas Bouchot

The random interlacements $I (u)$ at level $u$ has been introduced by Sznitman, as a Poissonian collection of independent simple random walk trajectories on $Z^{d}$ …

math.PR2025

A confined random walk locally looks like tilted random interlacements

Nicolas Bouchot

In this paper we consider the simple random walk on $Z^{d}$ , $d \geq 3$ , conditioned to stay in a large domain $D_{N}$ of typical diameter $N$ . Considering the range up to tim…