On convex limit sets and Brownian motion
The authors prove results for the supreme limit of nonnegative functionals of convex sets determined by normalized Brownian paths in Banach spaces. The present paper continues the investigation of \textit{D. Khoshnevisan} [Probab. Theory Relat. Fields 93, No. 3, 377-392 (1992; Zbl 0767.60066)] in this area. This relates also to some classical unsolved isoperimetric problems for the convex hull in \({\mathbb R}^d\). The paper contains the solution of a problem similar to these classical problems.
convex hull for curves in \({\mathbb{R}}^d\)
scientific article; zbMATH DE number 1208795