Izvestiya Mathematics

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

Насир Набиевич Ганиходжаев, Farrukh Maksutovich Mukhamedov

Published Oct 31, 2000• 19 citations

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.

DOI: 10.1070/im2000v064n05abeh000302

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