On Marginal Markov Processes of Quantum Quadratic Stochastic Processes

Details On Marginal Markov Processes of Quantum Quadratic Stochastic Processes On Marginal Markov Processes of Quantum Quadratic Stochastic Processes

2009-04-24

arxiv.org/abs/0904.3790v2

Quantum probability and infinite dimensional analysis : proceedings of the 29th conference, Hammamet, Tunisia 13-18 October 20

Mathematics

Functional Analysis

9 pages

Scientific paper

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

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