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Izvestiya: Mathematics, 2000, Volume 64, Issue 5, Pages 873–890
DOI: https://doi.org/10.1070/im2000v064n05ABEH000302 (Mi im302) 		 
This article is cited in 20 scientific papers (total in 20 papers)

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

N. N. Ganikhodzhaev, F. M. Mukhamedov

Romanovskii Mathematical Institute of the National Academy of Sciences of Uzbekistan
English version PDF (209 kB) Citations (20)
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DOI: https://doi.org/10.1070/im2000v064n05ABEH000302
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.
Received: 21.07.1999
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2000, Volume 64, Issue 5, Pages 3–20
DOI: https://doi.org/10.4213/im302
Bibliographic databases:
MSC: 60G99, 60H99, 60J35, 60K35, 58F11, 60J99, 58F20, 57R50, 92D25, 15A51, 60J35
Language: English
Original paper language: Russian
Citation: N. N. Ganikhodzhaev, F. M. Mukhamedov, “Ergodic properties of discrete quadratic stochastic processes defined on von Neumann algebras”, Izv. RAN. Ser. Mat., 64:5 (2000), 3–20; Izv. Math., 64:5 (2000), 873–890
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/im/v64/i5/p3
    • This publication is cited in the following 20 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:388
    Russian version PDF:208
    English version PDF:28
    References:60
    First page:1
     
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