On the Mean Exit Time for Compact Symmetric Spaces

作     者：X. GUAL-ARNAU R. MASó 

作者机构：Departament de Matemàtiques Campus Riu Sec Universitat Jaume I 12071-Castelló Spain 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2005年第21卷第3期

页      面：555-562页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Work partially supported by a DGES Grant BSA2001-0803-C02-02 

主　　题：Compact symmetric space Mean exit time Generalized sphere,Tubs Comparison theorem 

摘      要：Given a compact symmetric space, M, we obtain the mean exit time function from a principal orbit, for a Brownian particle starting and moving in a generalized ball whose boundary is the principal orbit. We also obtain the mean exit time flmction of a tube of radius r around special totally geodesic submanifolds P of M. Finally we give a comparison result for the mean exit time function of tubes around submanifolds in Riemannian manifolds, using these totally geodesic submanifolds in compact symmetric spaces as a model.