Translator Disclaimer
December 2012 The expected volume and surface area of the Wiener sausage in odd dimensions
Yuji Hamana
Osaka J. Math. 49(4): 853-868 (December 2012).

Abstract

We consider the Wiener sausage up to time $t$ associated with a closed ball. A formula for the expected volume of the Wiener sausage is obtained in odd dimensions. In these cases, we also find that the formula leads to the asymptotic expansion for large $t$ and each coefficient is represented by zeros of a modified Bessel function of the second kind. Moreover we obtain a formula for the expected surface area of the Wiener sausage.

Citation

Download Citation

Yuji Hamana. "The expected volume and surface area of the Wiener sausage in odd dimensions." Osaka J. Math. 49 (4) 853 - 868, December 2012.

Information

Published: December 2012
First available in Project Euclid: 19 December 2012

zbMATH: 1266.60143
MathSciNet: MR3007945

Subjects:
Primary: 60J65
Secondary: 41A58, 41A60

Rights: Copyright © 2012 Osaka University and Osaka City University, Departments of Mathematics

JOURNAL ARTICLE
16 PAGES


SHARE
Vol.49 • No. 4 • December 2012
Back to Top