On the asymptotic distribution of the powers of S×S-matrices
Compositio Mathematica, Tome 45 (1982) no. 2, pp. 273-291.
@article{CM_1982__45_2_273_0,
     author = {Losert, V. and Nowak, W.-G. and Tichy, R. F.},
     title = {On the asymptotic distribution of the powers of $S \times S$-matrices},
     journal = {Compositio Mathematica},
     pages = {273--291},
     publisher = {Martinus Nijhoff Publishers},
     volume = {45},
     number = {2},
     year = {1982},
     mrnumber = {651983},
     zbl = {0498.10029},
     language = {en},
     url = {http://archive.numdam.org/item/CM_1982__45_2_273_0/}
}
TY  - JOUR
AU  - Losert, V.
AU  - Nowak, W.-G.
AU  - Tichy, R. F.
TI  - On the asymptotic distribution of the powers of $S \times S$-matrices
JO  - Compositio Mathematica
PY  - 1982
SP  - 273
EP  - 291
VL  - 45
IS  - 2
PB  - Martinus Nijhoff Publishers
UR  - http://archive.numdam.org/item/CM_1982__45_2_273_0/
LA  - en
ID  - CM_1982__45_2_273_0
ER  - 
%0 Journal Article
%A Losert, V.
%A Nowak, W.-G.
%A Tichy, R. F.
%T On the asymptotic distribution of the powers of $S \times S$-matrices
%J Compositio Mathematica
%D 1982
%P 273-291
%V 45
%N 2
%I Martinus Nijhoff Publishers
%U http://archive.numdam.org/item/CM_1982__45_2_273_0/
%G en
%F CM_1982__45_2_273_0
Losert, V.; Nowak, W.-G.; Tichy, R. F. On the asymptotic distribution of the powers of $S \times S$-matrices. Compositio Mathematica, Tome 45 (1982) no. 2, pp. 273-291. http://archive.numdam.org/item/CM_1982__45_2_273_0/

[1] J. Dieudonné, Grundzüge der modernen Analysis III, Vieweg, Braunschweig, 1976. | MR

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

[3] P. Erdös and J.F. Koksma, On the uniform distribution mod 1 of sequences (f(n, δ)), Indag. Math. 11 (1949), 299-302. | Zbl

[4] I.S. Gal et J.F. Koksma, Sur l'ordre de grandeur des fonctions sommables, C.R. Acad. d. Sc. Paris 277 (1948), 1321-1323. | MR | Zbl

[5] P. Gerl, Einige metrische Sätze in der Theorie der Gleichverteilung modulo 1, Journal f.d. reine u. ang. Math. 216 (1964), 50-66. | MR | Zbl

[6] E. Hlawka, Theorie der Gleichverteilung, Mannheim- Wien-Zürich, B.I., 1979. | MR | Zbl

[7] J.F. Koksma, Ein mengentheoretischer Satz über die Gleichverteilung modulo Eins, Compositio Math. 2 (1935), 250-258. | JFM | Numdam | Zbl

[8] L. Kuipers and H. Niederreiter, Uniform distribution of sequences, New York, John Wiley and Sons, 1974. | MR | Zbl

[9] C.G. Lekkerkerker, Geometry of numbers, North-Holland-Publ.-Comp., Amsterdam, 1969. | MR | Zbl

[10] W.J. Leveque, The distribution mod 1 of trigonometric sequences, Duke Math. Journal 20 (1963), 367-374. | MR | Zbl

[11] W.G. Nowak, Zur Gleichverteilung mod 1 der Potenzen von Quaternionen mit Norm größer als 1, Archiv d. Math. 34 (1980), 243-248. | MR | Zbl

[12] W.G. Nowak und R.F. Tichy, Über die Verteilung mod 1 der Potenzen reeller (2 x 2)-Matrizen, Indag. Math., accepted for publication. | Zbl

[13] W.G. Nowak und R.F. Tichy, Einige weitere Resultate in Analogie Zu einem Gleichverteilungssatz von Koksma, Monatsh. f. Math., accepted for publication. | Zbl

[14] V.G. Sprindžuk, Metric theory of diophantine approximation, (engl. transl.), Scripta series in mathematics, Winston and sons, Washington D.C., 1979. | MR

[15] R.F. Tichy, Ein Analogon zum Satz von Koksma in Quaternionen, Archiv d. Math, 32 (1979), 346-348. | MR | Zbl