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Beurling's projection theorem via one-dimensional Brownian motion

Published online by Cambridge University Press:  24 October 2008

Wendelin Werner
Wendelin Werner
Affiliation:
C.N.R.S. and University of Cambridge Statistical Laboratory, D.P.M.M.S., 16 Mill Lane, Cambridge CB2 1SB
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Abstract

We prove some elementary intuitive estimates on moving boundaries hitting times by one-dimensional Brownian motion (in ℝ and on the circle). These results give an alternative approach to Beurling's radial projection theorem on harmonic measure in a disc.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 119 , Issue 4 , May 1996 , pp. 729 - 738
Copyright
Copyright © Cambridge Philosophical Society 1996

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