| A LIMIT THEOREM FOR INTERACTING MEASURE-VALUED BRANCHING PROCESSES |
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| 作者姓名： | 赵学雷 杨敏 |
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| 作者单位： | Zhao Xuelei (Institute of Mathematics，Shantou University，Shantou 515063，China)Yang Min (The State Information Center，Beijing 100045，China) |
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| 摘 要： | 1IntroductionItiswellknownthatthe(classical)DW-superprocessiscloselyassociatedwiththe(c1assical)FV-superprocess.Tl1isconnectionisfiIStobservedbyKonnoandShiga(1988),rigorouslyprovedbyEtheridgeandMarch(1991),andgeneralizedbyPerkins(l992).Infact,intermofapproximationofparticlesystemsthisrelationshipisratherintuitive,buttoproveitisnoteasy.I11thispaper,weshallconsiderthesanequestionforthemeasure-valuedprocesseswithinteractions.Forthesakeofbrevity,weomittheintroductionoftl1iskindofmeasure-value…
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A LIMIT THEOREM FOR INTERACTING MEASURE-VALUED BRANCHING PROCESSES |
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| Zhao Xuelei.A LIMIT THEOREM FOR INTERACTING MEASURE-VALUED BRANCHING PROCESSES[J].Acta Mathematica Scientia,1997(3). |
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| Authors: | Zhao Xuelei |
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| Abstract: | It is well known that Fleming-Viot superprocesses can be obtained from the Dawson-Watanabe superprocesses by conditioning the latter to have constant total mass. The same question is investigated for measure-valued branching processes with interacting intensity independent of the geographical position. It is showed that a sequence of conditioned probability laws of this kind of interacting measure-valued branching processes also approximates to the probability law of Fleming-Viot superprocesses. |
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| Keywords: | Interacting measure-valned Branching processest DW-superprocesses FV-superprocesses conditioned probability law |
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