Nevanlinna theory, fuchsian functions and brownian motion windings

被引:0
作者
Gruet, JC [1 ]
机构
[1] Lab SDAD, F-14032 Caen, France
关键词
Nevanlinna theory; meromorphic functions; Brownian motion; geodesic flow;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
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.
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页码:301 / 324
页数:24
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