广义生-灭最小Q过程的常返、遍历性

Recurrent,ergodicity properties for an extended birth-death minimal Q-process

研究具有突变率的全稳定广义生-灭最小Q过程的常返性和遍历性,在Q-矩阵是正则、不可约的条件下,利用Q过程的构造理论,获得广义生-灭最小Q过程是常返、遍历的易于检验的充分必要条件,并给出不变测度.

A birth-death new structure processes is c W on ith the special property that catastrophes is imposed to ordinary sidered. Under the condition that the Q-matrix is regular and irreducible, the authors are able to give easy-checking recurrent and ergodicity criteria for such Markov minimal Q-processes by using construction theory of Q-processes. Equilibrium distrbutions are then established.