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

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].


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