%0 Journal Article
%T Absolute continuity of interacting measure-valued branching processes and its occupation-time processes<br>
%A Changqing Liang
%A Zhanbing Li
%A <br>
%J 科学通报(英文版)
%D 1998
%I 
%X LetX t be the interaction measured-valued branchingα-symmetric stable process overR d (1< α ≤2) constructed by Meleard-Roelly1]. Frist, it is shown thatX t is absolutely continuous with respect to the Lebesgue measure (onR) with a continuous density function which satisfies some SPDE. Second, it is proved that if the underlying process is a Brownian motion onR d(d≤3), the corresponding occupation-time processY t is also absolutely continuous with respect to the Lebesgue measure.
%K interacting measure-value branching processes
%K occupation-time processes
%K White noise
%K absolute continuity
%K stochastic partial differential equation<br>
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=01BA20E8BA813E1908F3698710BBFEFEE816345F465FEBA5&cid=96E6E851B5104576C2DD9FC1FBCB69EF&jid=DD6615BC9D2CFCE0B6F945E8D5314523&aid=CEB596BA1352C403F3FE663D681802A0&yid=8CAA3A429E3EA654&vid=BE33CC7147FEFCA4&iid=38B194292C032A66&sid=2BA123C6EB9D54C2&eid=2BA123C6EB9D54C2&journal_id=1001-6538&journal_name=科学通报(英文版)&referenced_num=0&reference_num=4