Ergodicity of dynamical system associated with the distribution of fractional parts of polynomial of several variables
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2025), pp. 74-76
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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.
@article{VMUMM_2025_2_a10,
author = {I. P. Mikhailov},
title = {Ergodicity of dynamical system associated with the distribution of fractional parts of polynomial of several variables},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {74--76},
publisher = {mathdoc},
number = {2},
year = {2025},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_2025_2_a10/}
}
TY - JOUR AU - I. P. Mikhailov TI - Ergodicity of dynamical system associated with the distribution of fractional parts of polynomial of several variables JO - Vestnik Moskovskogo universiteta. Matematika, mehanika PY - 2025 SP - 74 EP - 76 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VMUMM_2025_2_a10/ LA - ru ID - VMUMM_2025_2_a10 ER -
%0 Journal Article %A I. P. Mikhailov %T Ergodicity of dynamical system associated with the distribution of fractional parts of polynomial of several variables %J Vestnik Moskovskogo universiteta. Matematika, mehanika %D 2025 %P 74-76 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/VMUMM_2025_2_a10/ %G ru %F VMUMM_2025_2_a10
I. P. Mikhailov. Ergodicity of dynamical system associated with the distribution of fractional parts of polynomial of several variables. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2025), pp. 74-76. http://geodesic.mathdoc.fr/item/VMUMM_2025_2_a10/