首页> 中文期刊> 《数学年刊B辑(英文版)》 >CHINESE ANNALS OF MATHEMATICS Vol.5 Ser.A No.2 CONTENTS AND ABSTRACT

CHINESE ANNALS OF MATHEMATICS Vol.5 Ser.A No.2 CONTENTS AND ABSTRACT

         

摘要

<正> On Delphie-Semigroups in Stochastic Point ProcessesLiang Zhishun(梁之舜)D.G.Kendall promulgated and developed the theory of Delphic-semigroups and applied it toexaminate the cases of regenerative phenomena.In this paper the cases of stochastic point processes in separable complete metric space areconsidered.First,it is proved that the set of all“facets”of any given stochastic point process iscompact.Then the author finds out some families of stochastic point processes each of which formsa Delphic-semigroup by suitably choosing the congruous homomorphism.For example,on taking△P=-log Gp[(?)],the family of finite point processes forms a Delphic-semigroup where Gp[(?)]is the

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