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Asymptotic Windings of Brownian Motion Paths on Riemann Surfaces |
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| Authors: | Shinzo Watanabe |
| Institution: | (1) Department of Mathematics, Kyoto University, Kyoto, Japan. e-mail |
| Abstract: | We study asymptotic winding properties of Brownian motion paths on Riemann surfaces by obtaining limit laws for stochastic line integrals along Brownian paths of meromorphic differential 1-forms (Abelian differentials). |
| Keywords: | Brownian motion on a Riemann surface stochastic line integral along a Brownian motion path of a 1-differential form Walsh's Brownian motions elliptic integrals |
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