%0 Journal Article
%T On the convex hull of symmetric stable processes
%A Jščrgen Kampf
%A Gščnter Last
%J Mathematics
%D 2010
%I arXiv
%X Let alpha \in (1, 2] and X be an R^d-valued alpha-stable process with independent and symmetric components starting in 0. We consider the closure S_t of the path described by X on the interval [0, t] and its convex hull Z_t. The first result of this paper provides a formula for certain mean mixed volumes of Z_t and in particular for the expected first intrinsic volume of Z_t. The second result deals with the asymptotics of the expected volume of the stable sausage Z_t+B (where B is an arbitrary convex body with interior points) as t \to 0.
%U http://arxiv.org/abs/1004.1534v1