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Large Time Volume of the Pinned Wiener Sausage

✍ Scribed by I. McGillivray

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 307 KB
Volume: 170
Category: Article
ISSN: 0022-1236
DOI: 10.1006/jfan.1999.3513

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✦ Synopsis

We calculate the form of the large time asymptotic expansion of the expected volume of the pinned Wiener sausage associated to a compact set K in R d in dimensions d 3. In each case the leading coefficient is given by the Newtonian capacity of K. If K is a ball of radius a>0 the first three coefficients are calculated explicitly. As a byproduct of our results we obtain the low energy behaviour of the Krein spectral shift function for obstacle scattering systems.

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