Nicolas Bouchot

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20222025

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math.PR2024

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 $Ω \subset R^{d}$ , in dimension $d \geq 2$ . More precisely, consi…

math.PR2024

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…