Nevanlinna theory, Fuchsian functions and Brownian motion windings.

Gruet, Jean-Claude. "Nevanlinna theory, Fuchsian functions and Brownian motion windings.." Revista Matemática Iberoamericana 18.2 (2002): 301-324. <http://eudml.org/doc/39666>.

@article{Gruet2002,
abstract = {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)},
author = {Gruet, Jean-Claude},
journal = {Revista Matemática Iberoamericana},
keywords = {Movimiento browniano; Función meromorfa; Superficies Riemann; Funciones modulares; Flujos geodésicos; Nevanlinna theory; meromorphic functions; elliptic function; Brownian motion; geodesic flow},
language = {eng},
number = {2},
pages = {301-324},
title = {Nevanlinna theory, Fuchsian functions and Brownian motion windings.},
url = {http://eudml.org/doc/39666},
volume = {18},
year = {2002},
}

TY - JOUR
AU - Gruet, Jean-Claude
TI - Nevanlinna theory, Fuchsian functions and Brownian motion windings.
JO - Revista Matemática Iberoamericana
PY - 2002
VL - 18
IS - 2
SP - 301
EP - 324
AB - 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)
LA - eng
KW - Movimiento browniano; Función meromorfa; Superficies Riemann; Funciones modulares; Flujos geodésicos; Nevanlinna theory; meromorphic functions; elliptic function; Brownian motion; geodesic flow
UR - http://eudml.org/doc/39666
ER -