Geodesic
Distribution of values of linear functions and asymptotic behavior of trajectories of some dynamical systems
Matematičeskie zametki, Tome 58 (1995) no. 3, pp. 394-410

Voir la notice de l'article provenant de la source Math-Net.Ru

The asymptotic behavior of mean values for integrals of quasiperiodic functions, which characterizes the uniformity of the distribution of irrational windings on a torus, is shown to be essentially dependent on the dimension of the torus. We prove the nonrecurrence of mean values for arbitrarily smooth three-frequency quasiperiodic functions. We also present a series of results concerning the distribution of fractional parts for systems of linear functions. 
@article{MZM_1995_58_3_a7,
     author = {N. G. Moshchevitin},
     title = {Distribution of values of linear functions and asymptotic behavior of trajectories of some dynamical systems},
     journal = {Matemati\v{c}eskie zametki},
     pages = {394--410},
     publisher = {mathdoc},
     volume = {58},
     number = {3},
     year = {1995},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1995_58_3_a7/}
}
TY  - JOUR
AU  - N. G. Moshchevitin
TI  - Distribution of values of linear functions and asymptotic behavior of trajectories of some dynamical systems
JO  - Matematičeskie zametki
PY  - 1995
SP  - 394
EP  - 410
VL  - 58
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_1995_58_3_a7/
LA  - ru
ID  - MZM_1995_58_3_a7
ER  - 
%0 Journal Article
%A N. G. Moshchevitin
%T Distribution of values of linear functions and asymptotic behavior of trajectories of some dynamical systems
%J Matematičeskie zametki
%D 1995
%P 394-410
%V 58
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_1995_58_3_a7/
%G ru
%F MZM_1995_58_3_a7
N. G. Moshchevitin. Distribution of values of linear functions and asymptotic behavior of trajectories of some dynamical systems. Matematičeskie zametki, Tome 58 (1995) no. 3, pp. 394-410. http://geodesic.mathdoc.fr/item/MZM_1995_58_3_a7/