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Matematicheskie Zametki, 2019, Volume 105, Issue 2, paper published in the English version journal (Mi mzm11904)  
This article is cited in 21 scientific papers (total in 21 papers)

Papers published in the English version of the journal

On Nonergodic Uniform Lotka–Volterra Operators

F. M. Mukhamedova, U. U. Jamilovb, A. T. Pirnapasovc

a Department of Mathematical Sciences, College of Science, United Arab Emirates University, Al Ain, Abu Dhabi, 15551 UAE
b Romanovskiy Institute of Mathematics, Academy of Science, Tashkent, 100170 Uzbekistan
c Faculty of Mathematics, Ruhr University Bochum, Bochum, 44780 Germany
Citations (21)
Abstract: In this paper, we introduce uniform Lotka–Volterra operators and construct Lyapunov functions for them. We establish that the ergodic averages associated with operators of such kind diverge.
Keywords: ergodic hypothesis, Lotka–Volterra operator, tournament, divergent.
Funding agency Grant number
United Arab Emirates University 31S259
The work of the first-named author was supported by the UAEU Start-Up 2016 grant no. 31S259.
Received: 22.12.2017
English version:
Mathematical Notes, 2019, Volume 105, Issue 2, Pages 258–264
DOI: https://doi.org/10.1134/S0001434619010280
Bibliographic databases:
Document Type: Article
Language: English
Citation: F. M. Mukhamedov, U. U. Jamilov, A. T. Pirnapasov, “On Nonergodic Uniform Lotka–Volterra Operators”, Math. Notes, 105:2 (2019), 258–264
Citation in format AMSBIB
\Bibitem{MukJamPir19}
\by F.~M.~Mukhamedov, U.~U.~Jamilov, A.~T.~Pirnapasov
\paper On Nonergodic Uniform Lotka--Volterra Operators
\jour Math. Notes
\yr 2019
\vol 105
\issue 2
\pages 258--264
\mathnet{http://mi.mathnet.ru/mzm11904}
\crossref{https://doi.org/10.1134/S0001434619010280}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3938721}
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\elib{https://elibrary.ru/item.asp?id=38709802}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85064243252}
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    • This publication is cited in the following 21 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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