F. M. Mukhamedov, U. U. Jamilov, A. T. Pirnapasov, “On Nonergodic Uniform Lotka–Volterra Operators”, Mat. Zametki, 2019, Volume 105, Issue 2,Pages <nobr>258

This article is cited in 21 papers

Papers published in the English version of the journal

On Nonergodic Uniform Lotka–Volterra Operators

F. M. Mukhamedov^a, U. U. Jamilov^b, A. T. Pirnapasov^c

^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

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.

Received: 22.12.2017

Language: English