On an Upper Bound of the Euler Characteristic of the Wiener Sausage
✍ Scribed by Ondřej Honzl
- Book ID
- 120748535
- Publisher
- Springer US
- Year
- 2013
- Tongue
- English
- Weight
- 416 KB
- Volume
- 16
- 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 show that in an arbitrary o-minimal structure the following are equivalent: (i) conjugates of a definable subgroup of a definably connected, definably compact definable group cover the group if the o-minimal Euler characteristic of the quotient is non zero; (ii) every infinite, definably connecte