Conditioned Brownian motion in planar domains

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Conditioned Brownian motion in planar domains

We give an upper bound for the Green functions of conditioned Brownian motion in planar domains. A corollary is the conditional gauge theorem in bounded planar domains. Short title: Conditioned Brownian motion AMS Subject Classification (1985): Primary 60J50; Secondary 60J45, 60J65

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ژورنال

عنوان ژورنال: Probability Theory and Related Fields

سال: 1995

ISSN: 0178-8051,1432-2064

DOI: 10.1007/bf01202781