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Abstract <p>In this paper, a description of a dynamical system related to a distribution of integer parts of a polynomial of several variables is given. If its leading coefficient is an irrational number, then the dynamical system is ergodic.</p>

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On the Ergodicity of a Dynamical System Related to the Distribution of Fractional Parts of a Polynomial of Several Variables

  • 期刊论文

  • 发表日期：

    2025年4月1日

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  • I. P. Mihaylov

摘要

Abstract

In this paper, a description of a dynamical system related to a distribution of integer parts of a polynomial of several variables is given. If its leading coefficient is an irrational number, then the dynamical system is ergodic.