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

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Pages (from-to)873-890
Number of pages18
JournalIzvestiya Mathematics
Volume64
Issue number5
DOIs
Publication statusPublished - 2000
Externally publishedYes

ASJC Scopus subject areas

  • General Mathematics

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