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An isoperimetric inequality for the Wiener sausage

open access: yes, 2011
Let $(\xi(s))_{s\geq 0}$ be a standard Brownian motion in $d\geq 1$ dimensions and let $(D_s)_{s \geq 0}$ be a collection of open sets in $\R^d$. For each $s$, let $B_s$ be a ball centered at 0 with $\vol(B_s) = \vol(D_s)$. We show that $\E[\vol(\cup_{s \
Peres, Yuval, Sousi, Perla
core   +1 more source

Loop-Erased Walks and Random Matrices. [PDF]

open access: yesJ Stat Phys, 2019
Arista J, O'Connell N.
europepmc   +1 more source

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