一般状态空间跳过程的不可约性
THE IRREDUCIBLE OF JUMP PROCESSES ON GENERALSTATE SPACE

本文研究了一般状态空间跳过程的φ-不可约性.利用与马氏链类似的方法,得到了最大不可约测度及其性质,推广了离散时间一般状态空间马氏链的结果,作为应用,给出了C ∈ ε+的充分条件.最后,证明了跳过程、骨架链、跳跃链和预解链的φ-不可约是等价的.
In this paper, we research the irreducible of jump processes on general state space. By using the method similar to markov chains, we obtain the maximal irreducible measure and its properties, the results for time-discrete markov chains on general state space are enlarged. As an application, a sufficient condition for C ∈ ε+ is given. Moreover, the equivalence of φ-irreducible for jump processes, skeleton chain, embed chain and resolvent chain are proved