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STOCHASTIC FLOWS OF MAPPINGS 被引量：1

STOCHASTIC FLOWS OF MAPPINGS
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摘要 In this paper, the stochastic flow of mappings generated by a Feller convolution semigroup on a compact metric space is studied. This kind of flow is the generalization of superprocesses of stochastic flows and stochastic diffeomorphism induced by the strong solutions of stochastic differential equations. In this paper, the stochastic flow of mappings generated by a Feller convolution semigroup on a compact metric space is studied. This kind of flow is the generalization of superprocesses of stochastic flows and stochastic diffeomorphism induced by the strong solutions of stochastic differential equations.
作者 Zhao Qiaoling Yan Guojun
机构地区 Dept. of Math. Dept. of Math.
出处 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2007年第3期343-352,共10页 高校应用数学学报（英文版）（B辑）
基金 Supported by the Natural Science Foundation of Henan Province(2004601018).
关键词 Feller convolution semigroup Daniel integral Stone＇s theorem stochastic flow of mappings. Feller convolution semigroup, Daniel integral, Stone＇s theorem, stochastic flow of mappings.
分类号 O152.7 [理学—基础数学]
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参考文献13

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同被引文献5

  • 1YAN Guojun & LI Zhanbing Medical School, Shantou University, Shantou 515063, China,Department of Mathematics, Bejing Normal University, Beijing 100875, China.Superprocesses arising from interactive stochastic flows[J].Science China Mathematics,2006,49(4):451-476. 被引量：1
  • 2DAWSON D, LI Zhan-bing, WANG H. Construction of immigration superprocesses with dependent spatial motion from one-dimensional excursions[J]. Probab Theory Related Fields, 2003, 127(1): 37-61.
  • 3WANG H. State classification for a class of measure-valued branching diffusions in a Brownian medium[J]. Probab Theory Relat Fields, 1997, 109: 39-55.
  • 4WANG H. A class of measure-valued branching diffusions in a random medium[J]. Stochastic Analysis and Applications, 1998, 16: 753-786.
  • 5DAWSON D A. Measure-valued Markov Processes[M]. Berlin: Springer-Verlag, 1993

引证文献1

Applied Mathematics(A Journal of Chinese Universities)
2007年 第3期

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