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On Nonergodic Uniform Lotka–Volterra Operators

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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.

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Correspondence to F. M. Mukhamedov, U. U. Jamilov or A. T. Pirnapasov.

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The article was submitted by the authors for the English version of the journal.

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Mukhamedov, F.M., Jamilov, U.U. & Pirnapasov, A.T. On Nonergodic Uniform Lotka–Volterra Operators. Math Notes 105, 258–264 (2019). https://doi.org/10.1134/S0001434619010280

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  • DOI: https://doi.org/10.1134/S0001434619010280

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