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Journal of the London Mathematical Society 1991 s2-44(1):184-192; doi:10.1112/jlms/s2-44.1.184
© 1991 by London Mathematical Society
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© Oxford University Press

The Asymptotic Distribution of the Number of Crossings Between Tangential Circles by Planar Brownian Motion

T. S. Mountford

Department of Mathematics, University of California Los Angeles, California 90024, USA

We find an asymptotic distribution for the number of crossings between two tangential circles by planar Brownian motion. This distribution does not depend on the respective radii and is closely related to the distribution of the closest distance of a Brownian path to a fixed point, computed by Y or [12].


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