The time it takes Brownian motion to leave a planar domain provides a method of measuring the size and shape of the domain. There a number of connections between this quantity and complex analysis, as I will describe. Included will be probabilistic proofs of several results from analysis, including Euler's Basel sum and a general form of the Phragmen-Lindelof principle for analytic functions.
Tue, 10/11/2015 - 12:00pm
RC-4082, The Red Centre, UNSW