Projects per year
Abstract
A new proof is given of a simple probabilistic lemma which implies the solution of the Dirichlet problem for simply connected domains in the plane. This proof uses the conformal invariance of planar Brownian motion in place of the previously existing measuretheoretic arguments.
Original language  English 

Pages (fromto)  11431146 
Number of pages  4 
Journal  Journal of Mathematical Analysis and Applications 
Volume  464 
Issue number  2 
DOIs  
Publication status  Published  15 Aug 2018 
Keywords
 Analytic functions
 Dirichlet problem
 Planar Brownian motion
Projects
 2 Finished

Planar Brownian motion and complex analysis
Australian Research Council (ARC)
2/01/14 → 11/01/17
Project: Research

New Stochastic Processes with Applications in Finance
Klebaner, F., Buchmann, B. & Hamza, K.
Australian Research Council (ARC), Monash University
31/07/09 → 31/12/13
Project: Research