Winding of planar Brownian curves

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, , Citation A Comtet et al 1990 J. Phys. A: Math. Gen. 23 3563 DOI 10.1088/0305-4470/23/15/027

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1 Div. de Phys. Theorique, IPN, Orsay, France

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0305-4470/23/15/3563

Abstract

The authors compute the joint probability for a closed Brownian curve to wind n times around a prescribed point and to enclose a given algebraic area. An estimate from below of the arithmetic area is obtained.

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