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Harmonic measure on 3-dimensional Brownian paths
Published online by Cambridge University Press: 24 October 2008
Abstract
It is well known that the trace X([0, ∞) of the 3-dimensional Brownian motion X has positive capacity and, therefore, the harmonic measure is well defined on this set. It is shown that a.s., this harmonic measure is singular with respect to the occupation measure Lebesgue ο X−1.
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- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 104 , Issue 2 , September 1988 , pp. 407 - 412
- Copyright
- Copyright © Cambridge Philosophical Society 1988
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