no. 2
An improved estimate on the distribution mod 1 of powers of real matrices
Compositio Mathematica, Tome 49 (1983) no. 2, pp. 283-289 
@article{CM_1983__49_2_283_0,
     author = {Nowak, Werner Georg and Tichy, Robert Franz},
     title = {An improved estimate on the distribution mod 1 of powers of real matrices},
     journal = {Compositio Mathematica},
     pages = {283--289},
     year = {1983},
     publisher = {Martinus Nijhoff Publishers},
     volume = {49},
     number = {2},
     mrnumber = {704394},
     zbl = {0496.10034},
     language = {en},
     url = {https://www.numdam.org/item/CM_1983__49_2_283_0/}
}
TY  - JOUR
AU  - Nowak, Werner Georg
AU  - Tichy, Robert Franz
TI  - An improved estimate on the distribution mod 1 of powers of real matrices
JO  - Compositio Mathematica
PY  - 1983
SP  - 283
EP  - 289
VL  - 49
IS  - 2
PB  - Martinus Nijhoff Publishers
UR  - https://www.numdam.org/item/CM_1983__49_2_283_0/
LA  - en
ID  - CM_1983__49_2_283_0
ER  - 
%0 Journal Article
%A Nowak, Werner Georg
%A Tichy, Robert Franz
%T An improved estimate on the distribution mod 1 of powers of real matrices
%J Compositio Mathematica
%D 1983
%P 283-289
%V 49
%N 2
%I Martinus Nijhoff Publishers
%U https://www.numdam.org/item/CM_1983__49_2_283_0/
%G en
%F CM_1983__49_2_283_0
Nowak, Werner Georg; Tichy, Robert Franz. An improved estimate on the distribution mod 1 of powers of real matrices. Compositio Mathematica, Tome 49 (1983) no. 2, pp. 283-289. https://www.numdam.org/item/CM_1983__49_2_283_0/

[1] P. Erdös and J.F. Koksma: On the uniform distribution mod 1 of lacunary sequences. Indagationes Math. 11 (1949) 79-88. | Zbl | MR

[2] E. Hlawka: Theorie der Gleichverteilung. Mannheim- Wien-Zürich, Bibl. Inst. 1979. | Zbl | MR

[3] L. Kuipers and H. Niederreiter: Uniform distribution of sequences. New York-Sydney-Toronto, John Wiley and Sons 1974. | Zbl | MR

[4] W.J. Le Veque: The distribution mod 1 of trigonometric sequences. Duke Math. Journal 20 (1953) 367-374. | Zbl

[5] V. Losert, W.G. Nowak and R.F. Tichy: On the asymtotic distribution of the powers of (s x s)-matrices. Comp. Math., to appear. | Zbl | Numdam