On Convex Limit Sets and Brownian Motion

    loading  Checking for direct PDF access through Ovid

Abstract

We prove limsup results for nonnegative functionals of convex sets determined by normalized Brownian paths in Banach spaces. This continues the interesting investigation of D. Khoshnevisan into this area, and relates to some classical unsolved isoperimetric problems for the convex hull of curves in ℝd. Section 4 contains the solution of a problem similar to these classical problems.

Related Topics

    loading  Loading Related Articles