On Marginal Markov Processes of Quantum Quadratic Stochastic Processes

Abstract

In the paper it is defined two marginal Markov processes on von Neumann algebras and , 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.

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