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 measure-theoretic arguments.
Original language | English |
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Pages (from-to) | 1143-1146 |
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
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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