An improved estimate on the distribution mod 1 of powers of real matrices

Werner Georg Nowak; Robert Franz Tichy

Compositio Mathematica (1983)

  • Volume: 49, Issue: 2, page 283-289
  • ISSN: 0010-437X

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Nowak, Werner Georg, and Tichy, Robert Franz. "An improved estimate on the distribution mod 1 of powers of real matrices." Compositio Mathematica 49.2 (1983): 283-289. <http://eudml.org/doc/89613>.

@article{Nowak1983,
author = {Nowak, Werner Georg, Tichy, Robert Franz},
journal = {Compositio Mathematica},
keywords = {discrepancy; powers of real matrices},
language = {eng},
number = {2},
pages = {283-289},
publisher = {Martinus Nijhoff Publishers},
title = {An improved estimate on the distribution mod 1 of powers of real matrices},
url = {http://eudml.org/doc/89613},
volume = {49},
year = {1983},
}

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
PB - Martinus Nijhoff Publishers
VL - 49
IS - 2
SP - 283
EP - 289
LA - eng
KW - discrepancy; powers of real matrices
UR - http://eudml.org/doc/89613
ER -

References

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  1. [1] P. Erdös and J.F. Koksma: On the uniform distribution mod 1 of lacunary sequences. Indagationes Math.11 (1949) 79-88. Zbl0033.16502MR30556
  2. [2] E. Hlawka: Theorie der Gleichverteilung. Mannheim- Wien-Zürich, Bibl. Inst. 1979. Zbl0406.10001MR542905
  3. [3] L. Kuipers and H. Niederreiter: Uniform distribution of sequences. New York-Sydney-Toronto, John Wiley and Sons1974. Zbl0281.10001MR419394
  4. [4] W.J. Le Veque: The distribution mod 1 of trigonometric sequences. Duke Math. Journal20 (1953) 367-374. Zbl0051.28504
  5. [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. Zbl0498.10029

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