- journal article metadata
European Mathematical Society Publishing House
2016-09-19 17:05:43
Revista Matemática Iberoamericana
Rev. Mat. Iberoamericana
RMI
0213-2230
2235-0616
General
10.4171/RMI
http://www.ems-ph.org/doi/10.4171/RMI
subscribers
European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society (from 2012)
18
2002
2
Nevanlinna theory, fuchsian functions and brownian motion windings
Jean-Claude
Gruet
Université de Caen, CAEN, FRANCE
Nevanlinna theory, meromorphic functions, Brownian motion, geodesic flow
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 criterion 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.
Probability theory and stochastic processes
Functions of a complex variable
General
301
324
10.4171/RMI/320
http://www.ems-ph.org/doi/10.4171/RMI/320