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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2016, Number 10, Pages 86–91 (Mi ivm9169)  
This article is cited in 13 scientific papers (total in 13 papers)

Brief communications

On the law of large numbers for compositions of independent random semigroups

V. Zh. Sakbaev

Steklov Mathematical Institute of Russian Academy of Sciences, 8 Gubkin str., Moscow, 119991 Russia
Full-text PDF (182 kB) Citations (13)
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Abstract: We study random linear operators in Banach spaces and random one-parameter semigroups of such operators. For compositions of independent random semigroups of linear operators in the Hilbert space we obtain sufficient conditions for fulfilment of the law of large numbers and give examples of its violation.
Keywords: law of large numbers, random map, random semigrop, Chernoff theorem.
Funding agency Grant number
Russian Science Foundation 14-11-00687
Presented by the member of Editorial Board: A. M. Bikchentaev
Received: 24.03.2016
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2016, Volume 60, Issue 10, Pages 72–76
DOI: https://doi.org/10.3103/S1066369X16100121
Bibliographic databases:
Document Type: Article
UDC: 517.98+519.2
Language: Russian
Citation: V. Zh. Sakbaev, “On the law of large numbers for compositions of independent random semigroups”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 10, 86–91; Russian Math. (Iz. VUZ), 60:10 (2016), 72–76
Citation in format AMSBIB
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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