A Local Time Analysis of Intersections of Brownian Paths in the Plane
A Local Time Analysis of Intersections of Brownian Paths in the Plane
We envision a network of $N$ paths in the plane determined by $N$ independent, two-dimensional Brownian motions $W_i(t), t \geq 0, i = 1, 2, \cdots, N$. Our problem is to study the set of "confluences" $z$ in $\mathbb{R}^2$ where all $N$ paths meet and also the set $M_0$ of …