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弱对称Markov积分半群的表示
王金金,李扬荣
西南大学数学与统计学院,重庆,400715
摘要:
本文研究了弱对称Markov积分半群的表示.利用积分的方法,获得了弱对称Markov积分半群的Kendall和Karlin-McGregor表示,推广了转移函数的Kendall和Karlin-McGregor表示.
关键词:  Markov积分Q-半群  连续时间Markov链  弱对称性  表示
DOI:
分类号:O177.2
基金项目:Supported by National Natural Science Foundation of China(20700501)
REPRESENTATION OF WEAKLY SYMMETRIC MARKOV INTEGRATED SEMIGROUPS
WANG Jin-jin,LI Yang-rong
WANG Jin-jin,LI Yang-rong (School of Math. and Statistics,Southwest University,Chongqing 400715,China)
Abstract:
In this article, we study representations of weakly symmetric Markov integrated semigroups. By integration, we get Kendall's and Karlin-McGregor's representation theorems of weakly symmetric Markov integrated semigroups and generalize Kendall's and Karlin-McGregor's representations of transition functions.
Key words:  Markov integrated Q-semigroups  CTMCs  weak symmetry  representation