Large Deviations for Brownian Intersection Measures

Wolfgang Koenig, Chiranjib Mukherjee

We consider $p$ independent Brownian motions in ${\mathbb{R}}^d$. We assume that $p\ge 2$ and $p(d-2)<d$. Let ${\ell }_t$ denote the intersection measure of the $p$ paths by time $t$, i.e., th…