Nevanlinna theory through the Brownian motion

被引：0
|
作者：
Xianjing Dong [1 ]
Yan He [2 ]
Min Ru [2 ]
机构：
[1] Department of Mathematics, Nanjing University
[2] Department of Mathematics, University of Houston
来源：
Science China(Mathematics) | 2019年 / 62卷 / 11期
关键词：
Nevanlinna theory; holomorphic curves; second main theorem; Brownian motion;
D O I：
暂无
中图分类号：
O211 [概率论（几率论、或然率论）]; O174.52 [整数函数论、亚纯函数论（半纯函数论）];
学科分类号：
020208 ; 070103 ; 070104 ; 0714 ;
摘要：
In this paper, we introduce the Nevanlinna theory using stochastic calculus, following the works of Davis(1975), Carne(1986) and Atsuji(1995, 2005, 2008 and 2017), etc. In particular, we give(another) proofs of the classical result of Nevanlinna for meromorphic functions and the result of Cartan-Ahlfors for holomorphic curves by using the probabilistic method.
引用
收藏
页码：2131 / 2154
页数：24
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