On the singularities of the intersection local times of planar Brownian motion (Q1322932)

The singularities of intersection local times for multiple points of two- dimensional Brownian motion are considered. Using Dynkin's approach to renormalization, the author obtains an asymptotic expansion for the behavior of the \(p\)-multiple self-intersection local time of a planar Brownian motion at a point \(y \in (\mathbb{R}^ 2)^{p-1}\), when one or several coordinates of \(y\) go to 0. Also another renormalization of intersection local times, by using methods of stochastic calculus, is considered.