Berry-Esseen bound for the Brownian motions on hyperbolic spaces

被引：0
|
作者：
Shiozawa, Yuichi [1 ]
机构：
[1] Doshisha Univ, Fac Sci & Engn, Dept Math Sci, Kyoto 6100394, Japan
来源：
STUDIA MATHEMATICA | 2024年 / 277卷 / 03期
关键词：
Berry-Esseen bound; Brownian motion; hyperbolic space; Millson formula; ASYMPTOTIC-BEHAVIOR; HEAT KERNEL;
D O I：
10.4064/sm230909-2-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We obtain the uniform convergence rate for the Gaussian fluctuation of the radial part of the Brownian motion on a hyperbolic space. We also show that this result is sharp if the dimension of the hyperbolic space is 2 or general odd. Our approach is based on the repetitive use of the Millson formula and the integration by parts formula.
引用
收藏
页码：213 / 241
页数：30
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