On Nonergodic Uniform Lotka–Volterra Operators

F. M. Mukhamedov; U. U. Jamilov; A. T. Pirnapasov

doi:10.1134/S0001434619010280

On Nonergodic Uniform Lotka–Volterra Operators

F. M. Mukhamedov, U. U. Jamilov, A. T. Pirnapasov

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

26 Citations (Scopus)

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.

Original language	English
Pages (from-to)	258-264
Number of pages	7
Journal	Mathematical Notes
Volume	105
Issue number	1-2
DOIs	https://doi.org/10.1134/S0001434619010280
Publication status	Published - Jan 1 2019

Keywords

Lotka-Volterra operator
divergent
ergodic hypothesis
tournament

ASJC Scopus subject areas

General Mathematics

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10.1134/S0001434619010280

Cite this

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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.}",

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N2 - 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.

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On Nonergodic Uniform Lotka–Volterra Operators

Abstract

Keywords

ASJC Scopus subject areas

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