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Ergodicity of Positive Riesz-Type Stochastic Operators

Azam Nurilloevich ZoyidovKimyo International University in Tashkent, Tashkent, UzbekistanOtabek KhakimovRomanovskii Institute of Mathematics, Uzbekistan Academy of Sciences, 100174, Tashkent, Uzbekistan
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Abstract

In this article, examines nonlinear stochastic operators generated by lower triangular positive matrices $$A$$ . It explores the dynamics of positive Riesz-type stochastic operators and establishes their regularity. Moreover, it demonstrates that the dynamics of these operators depend solely on the diagonal elements of the matrix $$A$$ .

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