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
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Annotatsiya
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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