数学杂志2016,Vol.36Issue(2):310-318,9.
Brown 运动在H¨older 范数下的拟必然Strassen重对数律的收敛速率
THE RATE OF QUASI SURE CONVERGENCE OF STRASSEN’S TYPE FUNCTIONAL LAW OF THE ITERATED LOGARITHM FOR A BROWNIAN MOTION IN H ¨OLDER NORM
摘要
Abstract
In this paper, limit question of Brownian motion is investigated. By using large and small deviations for Brownian motion in the H¨older norm with respect to Cr,p-capacity, the quasi sure convergence rate of Strassen’s type functional law of the iterated logarithm for Brownian motion in H¨older norm with respect to Cr,p-capacity is derived, which generalizes the result in [2].关键词
Brown运动/拟必然收敛速率/Hölder范数Key words
Brownian motion/quasi sure rate of convergence/H¨older norm分类
数理科学引用本文复制引用
黎协锐,刘永宏..Brown 运动在H¨older 范数下的拟必然Strassen重对数律的收敛速率[J].数学杂志,2016,36(2):310-318,9.基金项目
广西教育厅高校科研基金资助(YB2014117) (YB2014117)
桂林电子科技大学科研基金资助(LD14052B) (LD14052B)
广西财经学院数量经济学自治区级重点实验室资助(2015ZDKT06) (2015ZDKT06)