%0 Journal Article
%T Continuous Differentiability of Renormalized Intersection Local Times in R^{1}
%A Jay S. Rosen
%J Mathematics
%D 2009
%I arXiv
%R 10.1214/09-AIHP338
%X We study $\gamma_{k}(x_2,...,x_k;t)$, the k-fold renormalized self-intersection local time for Brownian motion in $R^1$. Our main result says that $\gamma_{k}(x_2,...,x_k;t)$ is continuously differentiable in the spatial variables, with probability 1.
%U http://arxiv.org/abs/0910.2919v1