关于Feller-Reuter-Riley转移函数的逼近  

Approximation of Feller-Reuter-Riley Transition Functions

作　　者：赵文强[1] 

机构地区：[1]重庆工商大学理学院,重庆400067

出　　处：《西南师范大学学报（自然科学版）》2006年第4期25-28,共4页Journal of Southwest China Normal University(Natural Science Edition)

摘　　要：用算子半群的Trotter-Kato逼近定理研究参数连续Markov链中转移函数的逼近.给出了Feller-Reuter-Riley转移函数收敛的q矩阵条件,并证明了Feller-Reuter-Riley转移函数的收敛和它们对应的预解函数的收敛等价.The author has studied the approximation of transition functions using Trotter-Kato theorems and a condition on q-matrices in order that their corresponding Feller-Reuter-Riley transition functions converge is obtained. The author also shows that the convergence of a sequence of Feller-Reuter-Riley transition functions is equivalent to the convergence of their corresponding resolvent functions.

关 键 词：参数连续MARKOV链 压缩半群 转移函数 Q-矩阵 逼近 

分 类 号：O177.92[理学—数学]