Q过程的μ不变测度
μInvariant Measures for Q-Processes
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摘要: 设Q=qij;i,j∈E是可数集E上的全稳定Q-矩阵,或单瞬时不可和准保守拟Q-矩阵,m=m,i>j;j∈E是Q的有限μ不变测度,则一定存在Q过程P(t),使m是P(t)的μ不变测度.Abstract: Let Q=qij;i,j∈E be a stable or single-instantaneous Q-matrix on a state space E. Suppose that Q admit a finite μ subinvariant measure m=mj;j∈E on E. We conside the problem of identifying all Q-processes for which m is a μ invariant measureon E.