Mathematics – Probability
Scientific paper
2009-10-15
Mathematics
Probability
Scientific paper
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.
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