Article

On Nonergodic Uniform Lotka–Volterra Operators

Farrukh MukhamedovDepartment of Mathematical Sciences, College of Science, United Arab Emirates University, Al Ain, Abu Dhabi, 15551, UAEUygun JamilovRomanovskiy Institute of Mathematics, Academy of Science, Tashkent, 100170, UzbekistanAbror PirnapasovFaculty of Mathematics, Ruhr University Bochum, Bochum, 44780, Germany

Mathematical Notesjournal2019en

ABI

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.

Topics

advanced mathematical theories Stochastic processes and financial applications Advanced Thermodynamics and Statistical Mechanics

Identifiers

DOI: 10.1134/s0001434619010280

Citations and references

Cited by 18 13 references

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