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Winding of geodesics on Riemann surfaces. (Sur l’enroulement géodésique des surfaces de Riemann.) (French. English summary) Zbl 0757.60076

Summary: We study the statistical behaviour of renormalized integrals of harmonic 1-forms along the geodesics, reducing the problem to a similar study for Brownian paths stopped at a random time.

MSC:

60J65 Brownian motion
58J65 Diffusion processes and stochastic analysis on manifolds
60D05 Geometric probability and stochastic geometry
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