Document Zbl 0757.60076

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

C. R. Acad. Sci., Paris, Sér. I 314, No. 10, 763-765 (1992).

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.

Cited in 7 Documents

MSC:

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

Keywords:

renormalized integrals of harmonic 1-forms along the geodesics; Brownian paths

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