F. M. Mukhamedov, U. U. Jamilov, A. T. Pirnapasov, “On Nonergodic Uniform Lotka–Volterra Operators”, Матем. заметки, 2019, том 105, выпуск 2,страницы 258

Эта публикация цитируется в 21 статьях

Статьи, опубликованные в английской версии журнала

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

Аннотация: 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.

Ключевые слова: ergodic hypothesis, Lotka–Volterra operator, tournament, divergent.

Поступило: 22.12.2017

Язык публикации: английский