非凸流形上扩散过程的代数式收敛性（英文）  

L^2 Rate of Algebraic Convergence for Diffusion Processes on Non-Convex Manifold

作　　者：程丽娟[1,2] 王颖喆[2] 

机构地区：[1]浙江工业大学理学院应用数学系,杭州310023 [2]北京师范大学数学科学学院,北京100875

出　　处：《应用概率统计》2015年第5期493-502,共10页Chinese Journal of Applied Probability and Statistics

基　　金：supported in part by the starting-up research fund supplied by Zhejiang University of Technology(109007329);supported in part by 985 Project(212011);973 Project(2011CB808000);the National Natural Science Foundation of China(11131003)

摘　　要：本文研究带非凸边界的非紧流形上的反射扩散过程在L^2范数下的代数式收敛性,给出了若干过程代数式收敛的充分的和必要的判定条件.Algebraic convergence in L^2-sense is studied for the reflecting diffusion processes on noncompact manifold with non-convex boundary. A series of sufficient and necessary conditions for the algebraic convergence are presented.

关 键 词：非凸流形 代数式收敛 扩散过程 

分 类 号：O211.6[理学—概率论与数理统计]