Contraction Integrated Semigroups and Their Application to Continuous-time Markov Chains

被引：0

作者：

Yang Rong Li

机构：

[1] Southwest Normal University,Department of Mathematics

来源：

Acta Mathematica Sinica | 2003年 / 19卷

关键词：

Integrated semigroups; Contraction integrated semigroups; Markov chains; Transition functions; -matrices; Feller-Reuter-Riley transition functions; 47D06; 60J27;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We introduce the notion of the contraction integrated semigroups and give the Lumber-Phillips characterization of the generator, and also the charaterazied generators of isometric integrated semigroups. For their application, a necessary and sufficient condition for q-matrices Q generating a contraction integrated semigroup is given, and a necessary and sufficient condition for a transition function to be a Feller-Reuter-Riley transition function is also given in terms of its q-matrix.

引用

页码：605 / 618

页数：13

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