Nicolas Bouchot

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20222025

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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 $Z^{d}$ …