Short notes

Ergodicity of dynamical system associated with the distribution of fractional parts of polynomial of several variables

I. P. Mikhailov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: In this paper, a description of a dynamical system connected with 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.

Key words: individual ergodic theorem, dinamical system, uniform distribution of numbers mod 1.

UDC: 511

Received: 25.10.2023

DOI: 10.55959/MSU0579-9368-1-66-2-11

 English version: Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2025, 80:2, 130–132

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