Abstract
We define a renormalized intersection local time to describe the amount of self-intersection of the Brownian motion on a two-dimensional Riemannian manifold $M$. The second order asymptotics of the area of the Wiener sausage of radius $\varepsilon$ on $M$ are described in terms of the renormalized intersection local time.
Citation
Isaac Chavel. Edgar Feldman. Jay Rosen. "Fluctuations of the Wiener Sausage for Surfaces." Ann. Probab. 19 (1) 83 - 141, January, 1991. https://doi.org/10.1214/aop/1176990537
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