On marginal Markov processes of quantum quadratic stochastic prosses
In this paper quantum quadratic stochastic process (q.q.s.p.) on von Meumann algebra M is considered. It is de¯ned two marginal Markov processes on von Neumann algebras M and MM, respectively, to given q.q.s.o. We prove that such marginal processes uniquely determine the q.q.s.p. Moreover, certain...
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| Format: | Book Chapter |
| Language: | English |
| Published: |
World Scientific
2010
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| Online Access: | http://irep.iium.edu.my/1602/1/mf-QP-PQ-V29%282010%29.pdf http://irep.iium.edu.my/1602/ http://www.worldscibooks.com/mathematics/7635.html |
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| Summary: | In this paper quantum quadratic stochastic process (q.q.s.p.) on von Meumann algebra M is considered. It is de¯ned two marginal Markov processes on von Neumann algebras M and MM, 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. |
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