广义狄氏型的符号光滑测度扰动及其结合的马氏过程

数学物理学报 ›› 2010, Vol. 30 ›› Issue (3): 623-629.

广义狄氏型的符号光滑测度扰动及其结合的马氏过程

韩新方, 马丽, 杨雪

中南大学数学科学与计算技术学院长沙 410075|中国科学院数学与系统科学研究院应用数学所北京 100190|Concordia大学数学与统计学院蒙特利尔 H4B1R6\quad 加拿大|中国科学院数学与系统科学研究院应用数学所北京 100190

收稿日期:2008-11-05 修回日期:2009-10-21 出版日期:2010-05-25 发布日期:2010-05-25
基金资助:
国家自然科学基金(10961012)资助

On Perturbation of Generalized Dirichlet Forms by Singed Smooth Measures and the Associated Nice Markov Processes

HAN Xin-Fang, MA Li, YANG Xue

School of Mathematical Science and Computing Technology, Central South University, Changsha 410075|Institute of Applied Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190； Department of Mathematics and statistics, Concordia University, Monteal H4B1R6, Canada； Institute of Applied Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190

Received:2008-11-05 Revised:2009-10-21 Online:2010-05-25 Published:2010-05-25
Supported by:
国家自然科学基金(10961012)资助

摘要/Abstract

摘要：

该文研究一类符号光滑测度对广义狄氏型的扰动及其结合的马氏过程. 证明了扰动后的二次型是广义狄氏型, 并且在给定条件下, 得到扰动型结合一好的特殊标准马氏过程.

关键词: 广义狄氏型, 光滑测度, 扰动, m -特殊标准马氏过程

Abstract:

This paper studies the perturbations ε^μ of the generalized Dirichlet form ε by some signed smooth measures and the associated Markov processes. It proves that the perturbations are also generalized Dirichlet forms and associated with ``nice'' Markov processes under some conditions.

Key words: Generalized Dirichlet Form, Smooth measure, Perturbation, m-tight special standard process

中图分类号:

31C25

韩新方, 马丽, 杨雪. 广义狄氏型的符号光滑测度扰动及其结合的马氏过程[J]. 数学物理学报, 2010, 30(3): 623-629.

HAN Xin-Fang, MA Li, YANG Xue. On Perturbation of Generalized Dirichlet Forms by Singed Smooth Measures and the Associated Nice Markov Processes[J]. Acta mathematica scientia,Series A, 2010, 30(3): 623-629.

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