@article{4330fe36af06482dad27dcbb407c1d7d,
title = "On Nonergodic Uniform Lotka–Volterra Operators",
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 = "Lotka-Volterra operator, divergent, ergodic hypothesis, tournament",
author = "Mukhamedov, {F. M.} and Jamilov, {U. U.} and Pirnapasov, {A. T.}",
note = "Funding Information: FUNDING The work of the first-named author was supported by the UAEU Start-Up 2016 grant no. 31S259. The second-named author thanks the Technical University of Berlin for hospitality and providing good working conditions and the German Academic Exchange Service (DAAD) for providing scholarship. Publisher Copyright: {\textcopyright} 2019, Pleiades Publishing, Ltd.",
year = "2019",
month = jan,
day = "1",
doi = "10.1134/S0001434619010280",
language = "English",
volume = "105",
pages = "258--264",
journal = "Mathematical Notes of the Academy of Sciences of the USSR",
issn = "1757-7489",
publisher = "Springer Science + Business Media",
number = "1-2",
}