ON MARGINAL MARKOV PROCESSES OF QUANTUM QUADRATIC STOCHASTIC PROCESSES

被引：2

作者：

Mukhamedov, Farrukh ^{[1
]}

机构：

[1] Int Islamic Univ Malaysia, Fac Sci, Dept Computat & Theoret Sci, Kuantan 25710, Pahang, Malaysia

来源：

QUANTUM PROBABILITY AND INFINITE DIMENSIONAL ANALYSIS | 2010年 / 25卷

关键词：

quantum quadratic stochastic process; marginal Markov process; ergodic principle;

D O I：

10.1142/9789814295437_0014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper quantum quadratic stochastic process (q.q.s.p.) on von Meumann algebra M is considered. It is defined two marginal Markov processes on von Neumann algebras M and M circle times M, respectively, to given q.q.s.o. We prove that such marginal processes uniquely determine the q.q.s.p. Moreover, certain ergodic relations between marginal processes and q.q.s.p. are established.

引用

页码：203 / 215

页数：13

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