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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

Biased 2×2 periodic Aztec diamond and an elliptic curve. [PDF]

open access: yesProbab Theory Relat Fields, 2023
Borodin A, Duits M.
europepmc   +1 more source

A two-phase dynamic contagion model for COVID-19. [PDF]

open access: yesResults Phys, 2021
Chen Z   +6 more
europepmc   +1 more source

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