Exponential estimates for the Wiener sausage
✍ Scribed by M. van den Berg; B. Tóth
- Publisher
- Springer
- Year
- 1991
- Tongue
- English
- Weight
- 390 KB
- Volume
- 88
- Category
- Article
- ISSN
- 1432-2064
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📜 SIMILAR VOLUMES
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
## 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