Brownian motion and harmonic measure in conic sections. (English) Zbl 1114.31001

Carroll, Tom

Aikawa, Hiroaki (ed.) et al., Potential theory in Matsue. Selected papers of the international workshop on potential theory, Matsue, Japan, August 23–28, 2004. Tokyo: Mathematical Society of Japan (ISBN 4-931469-33-7/hbk). Advanced Studies in Pure Mathematics 44, 25-41 (2006).

Author’s abstract: This is a survey of results on the exit time and the exit position of Brownian motion from cones and parabola-shaped regions in Euclidean space. The paper begins with a section on harmonic measure.
For the entire collection see [Zbl 1102.31001].

Reviewer: Zoran Vondraček (Urbana)

MSC:

31A15	Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions
60J65	Brownian motion
30C35	General theory of conformal mappings
30C85	Capacity and harmonic measure in the complex plane

Keywords:

Brownian motion; harmonic measure; conformal mapping