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Abstract <p>In this article, examines nonlinear stochastic operators generated by lower triangular positive matrices <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12202_2025_8213_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="17" /> </InlineMediaObject> <EquationSource Format="TEX">\(A\)</EquationSource> <!--LobJMat2560019Zoyidov-m1--> </InlineEquation>. 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 <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12202_2025_8213_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="17" /> </InlineMediaObject> <EquationSource Format="TEX">\(A\)</EquationSource> <!--LobJMat2560019Zoyidov-m2--> </InlineEquation>.</p>

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Ergodicity of Positive Riesz-Type Stochastic Operators

  • 期刊论文

  • 发表日期：

    2025年2月1日

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  • A. N. Zoyidov,
  • O. N. Khakimov

摘要

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 \(A\) .