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Transactions of the American Mathematical Society
ISSN 1088-6850(e) ISSN 0002-9947(p)
     

On the variances of occupation times of conditioned Brownian motion

Author(s): Biao Zhang
Journal: Trans. Amer. Math. Soc. 348 (1996), 173-185.
MSC (1991): Primary 60J65, 60J05
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Abstract | References | Similar articles | Additional information

Abstract: We extend some bounds on the variance of the lifetime of two--dimensional Brownian motion, conditioned to exit a planar domain at a given point, to certain domains in higher dimensions. We also give a short ``analytic'' proof of some existing results.


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Additional Information:

Biao Zhang
Affiliation: address Department of Mathematics, Purdue University, West Lafayette, Indiana 47907
Email: biao@math.purdue.edu

DOI: 10.1090/S0002-9947-96-01486-9
PII: S 0002-9947(96)01486-9
Keywords: Conditioned Brownian motion, $h$-processes
Received by editor(s): October 24, 1994
Copyright of article: Copyright 1996, American Mathematical Society


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