Geodesic
Weighted averages, uniform distribution, and strict ergodicity
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 60 (2005) no. 6, pp. 1121-1146

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

A circle of problems related to the application of the Riesz and Voronoi summation methods in ergodic theory, number theory, and probability theory is considered. The first digit paradox is discussed, strengthenings of the classical result of Weyl on the uniform distribution of the fractional parts of the values of a polynomial are indicated, and the possibility of sharpening the Birkhoff–Khinchin ergodic theorem is considered. In conclusion, some unsolved problems are listed. 
@article{RM_2005_60_6_a7,
     author = {V. V. Kozlov},
     title = {Weighted averages, uniform distribution, and strict ergodicity},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {1121--1146},
     publisher = {mathdoc},
     volume = {60},
     number = {6},
     year = {2005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/RM_2005_60_6_a7/}
}
TY  - JOUR
AU  - V. V. Kozlov
TI  - Weighted averages, uniform distribution, and strict ergodicity
JO  - Trudy Matematicheskogo Instituta imeni V.A. Steklova
PY  - 2005
SP  - 1121
EP  - 1146
VL  - 60
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/RM_2005_60_6_a7/
LA  - en
ID  - RM_2005_60_6_a7
ER  - 
%0 Journal Article
%A V. V. Kozlov
%T Weighted averages, uniform distribution, and strict ergodicity
%J Trudy Matematicheskogo Instituta imeni V.A. Steklova
%D 2005
%P 1121-1146
%V 60
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/item/RM_2005_60_6_a7/
%G en
%F RM_2005_60_6_a7
V. V. Kozlov. Weighted averages, uniform distribution, and strict ergodicity. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 60 (2005) no. 6, pp. 1121-1146. http://geodesic.mathdoc.fr/item/RM_2005_60_6_a7/