Brownian limits, local limits, extreme value and variance asymptotics for convex hulls in the ball

Abstract

The paper [40] establishes an asymptotic representation for random convex polytope geometry in the unit ball Bd, d ≥ 2, in terms of the general theory of stabilizing functionals of Poisson point processes as well as in terms of the so-called generalized paraboloid growth process. This paper further exploits this connection, introducing also a dual object… (More)

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