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arXiv 0904.3790math.FAmath.PR
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关于量子二次随机过程的边际马氏过程

On Marginal Markov Processes of Quantum Quadratic Stochastic Processes

Farrukh Mukhamedov

摘要:

本文定义了vonNeumann代数$\cm$和$\cmø\cm$上的两个边际Markov过程,分别对应于给定的量子二次随机过程(q.q.s.p.).证明了这类边际过程唯一决定q.q.s.p.并建立了它们之间的遍历关系。

英文摘要:

In the paper it is defined two marginal Markov processes on von Neumann algebras $\cm$ and $\cmø\cm$, respectively, corresponding to given quantum quadratic stochastic process (q.q.s.p.). It is proved that such marginal processes uniquely determines the q.q.s.p. Moreover, certain ergodic relations between them are established as well.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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