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Ergodic properties of discrete quadratic stochastic processes defined on von Neumann algebras

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©, 2000 Russian Academy of Sciences, (DoM) and London Mathematical Society, Turpion Ltd
, , Citation N N Ganikhodzhaev and F M Mukhamedov 2000 Izv. Math. 64 873 DOI 10.1070/IM2000v064n05ABEH000302

1064-5632/64/5/873

Abstract

The paper contains necessary and sufficient conditions under which the ergodic principle and the regularity condition hold for discrete quantum quadratic stochastic processes defined on von Neumann algebras. A connection between these processes and Markov processes is established.

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10.1070/IM2000v064n05ABEH000302