On the Mean Exit Time for Compact Symmetric Spaces |
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基金项目: | Work partially supported by a DGES Grant BSA2001-0803-C02-02 |
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摘 要: |
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关 键 词: | 紧密均衡空间 平均退出时间 广义性 时间函数 分界线 |
收稿时间: | 2003-04-01 |
修稿时间: | 2003-04-012003-07-16 |
On the Mean Exit Time for Compact Symmetric Spaces |
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Authors: | X Gual–Arnau R Masó |
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Institution: | (1) Departament de Matemàtiques, Campus Riu Sec, Universitat Jaume I, 12071-Castelló, Spain |
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Abstract: | 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. |
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Keywords: | Compact symmetric space Mean exit time Generalized sphere Tubs Comparison theorem |
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