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：
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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.
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页码：605 / 618
页数：13
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