抽象Wiener空间上Brown运动增量关于(r,p)-容度的钟泛函重对数律(英文)

Chung's Functional Law of the Iterated Logarithm for Increments of a Brownian Motion with Respect to(r,p)-capacities on an Abstract Wiener Space

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摘要应用Brown运动在Hlder范数下关于(r,p)-容度的大偏差和小偏差,得到了Brown运动增量在Hlder范数下关于(r,p)-容度的钟泛函重对数律. Using large deviation and small deviation of a Brownian motion in Holder norm with respect to （r, p）-capacities, Chung＇s functional law of the iterated logarithm for increments of a Brownian motion in HSlder norm with respect to （r,p）-capacity is derived.

作者刘永宏李东升李丰兵姜淼 LIU Yonghong, LI Dongsheng, LI Fengbing, JIANG Miao(Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation; School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, Guangxi, 541004, P. R. Chin)

机构地区广西高校数据分析与计算重点实验室桂林电子科技大学数学与计算科学学院

出处《数学进展》 CSCD 北大核心 2018年第2期277-286,共10页 Advances in Mathematics（China）

基金 The work is supported by NSFC(No.11661025) Science Research Foundation of Guangxi Education department(No.YB2014117) Guangxi Programme for Promoting Young Teachers's Ability(No.2017KY0191) Innovative Programme for University(No.201510595198)

关键词钟泛函重对数律 (r p)-容度 HOLDER范数 Brown运动增量 Chung's functional law of the iterated logarithm (r,p)-capacities Holdernorm increments of a Brownian motion

分类号 O211.4 [理学—概率论与数理统计]