ABSOLUTE CONTINUITY OF THE OCCUPATION TIME PROCESSES WITH RESPECT TO LEBESGUE MEASURE FOR SUPER-BROWNIAN MOTION

数学物理学报(英文版) ›› 1994, Vol. 14 ›› Issue (S1): 1-7.

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ABSOLUTE CONTINUITY OF THE OCCUPATION TIME PROCESSES WITH RESPECT TO LEBESGUE MEASURE FOR SUPER-BROWNIAN MOTION

王永进

Department of Mathematics, Nankai University, Tianjin 300071, China

收稿日期:1992-03-06 出版日期:1994-12-31 发布日期:1994-12-31

ABSOLUTE CONTINUITY OF THE OCCUPATION TIME PROCESSES WITH RESPECT TO LEBESGUE MEASURE FOR SUPER-BROWNIAN MOTION

Wang Yongjin

Department of Mathematics, Nankai University, Tianjin 300071, China

Received:1992-03-06 Online:1994-12-31 Published:1994-12-31

摘要/Abstract

摘要： Some properties of Super-Brownian motion have been approached by Dawson & Hochberg[1], Iscoe[2] &[3], Konnô & Shiga[4] and so on. In this paper, we limit our attention to the occupation time processes of the Super-Brownian motion,and try to give an intuitive proof for their absolute continuity with respect to the Lebesgue measure on R^d (d ≤ 3) when the initial measure of the Super-Brownian motion has the absolute continuity.

关键词: Super-process, Occupation time process, Absolute continuity

Abstract: Some properties of Super-Brownian motion have been approached by Dawson & Hochberg[1], Iscoe[2] &[3], Konnô & Shiga[4] and so on. In this paper, we limit our attention to the occupation time processes of the Super-Brownian motion,and try to give an intuitive proof for their absolute continuity with respect to the Lebesgue measure on R^d (d ≤ 3) when the initial measure of the Super-Brownian motion has the absolute continuity.

Key words: Super-process, Occupation time process, Absolute continuity

王永进. ABSOLUTE CONTINUITY OF THE OCCUPATION TIME PROCESSES WITH RESPECT TO LEBESGUE MEASURE FOR SUPER-BROWNIAN MOTION[J]. 数学物理学报(英文版), 1994, 14(S1): 1-7.

Wang Yongjin. ABSOLUTE CONTINUITY OF THE OCCUPATION TIME PROCESSES WITH RESPECT TO LEBESGUE MEASURE FOR SUPER-BROWNIAN MOTION[J]. Acta mathematica scientia,Series B, 1994, 14(S1): 1-7.

ABSOLUTE CONTINUITY OF THE OCCUPATION TIME PROCESSES WITH RESPECT TO LEBESGUE MEASURE FOR SUPER-BROWNIAN MOTION

ABSOLUTE CONTINUITY OF THE OCCUPATION TIME PROCESSES WITH RESPECT TO LEBESGUE MEASURE FOR SUPER-BROWNIAN MOTION

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