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Displaying similar documents to “Asymptotic windings over the trefoil knot.”

Nevanlinna theory, Fuchsian functions and Brownian motion windings.

Jean-Claude Gruet (2002)

Revista Matemática Iberoamericana

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Atsuji proposed some integrals along Brownian paths to study the Nevanlinna characteristic function T(f,r) when f is meromorphic in the unit disk D. We show that his criterios does not apply to the basic case when f is a modular elliptic function. The divergence of similar integrals computed along the geodesic flow is also proved. (A)