Nevanlinna theory, fuchsian functions and brownian motion windings

Autores: J.-C. Gruet
Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 18, Nº 2, 2002, págs. 301-324
Idioma: inglés
DOI: 10.4171/rmi/320
Títulos paralelos:
- Teoría de Nevanlinna, funciones fuchsianas y giros de movimiento browniano
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Resumen
- 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)