On the Ergodicity of a Dynamical System Related to the Distribution of Fractional Parts of a Polynomial of Several Variables
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.
Authors
- I Mihaylov (ORCID: https://orcid.org/0000-0003-4518-5902)
Institutions
- Lomonosov Moscow State University (RU)
- Moscow State University (TJ)
Publication Details
- Journal
- Moscow University Mathematics Bulletin
- Published
- 2025-04-01
- DOI
- https://doi.org/10.3103/s0027132225700317
- Primary Topic
- Advanced Differential Equations and Dynamical Systems
- Type
- article
- Field-Weighted Citation Impact
- 0.00