On the Boolean Model of Wiener Sausages
✍ Scribed by Rostislav Černý; Stefan Funken; Evgueni Spodarev
- Book ID
- 106457267
- Publisher
- Springer US
- Year
- 2007
- Tongue
- English
- Weight
- 612 KB
- Volume
- 10
- Category
- Article
- ISSN
- 1387-5841
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## Abstract For parallel neighborhoods of the paths of the __d__ ‐dimensional Brownian motion, so‐called __Wiener sausages__, formulae for the expected surface area are given for any dimension __d__ ≥ 2. It is shown by means of geometric arguments that the expected surface area is equal to the firs
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 coeffici