On metric theorems in the theory of uniform distribution

Yeneng Sun

Compositio Mathematica (1993)

  • Volume: 86, Issue: 1, page 15-21
  • ISSN: 0010-437X

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Sun, Yeneng. "On metric theorems in the theory of uniform distribution." Compositio Mathematica 86.1 (1993): 15-21. <http://eudml.org/doc/90208>.

@article{Sun1993,
author = {Sun, Yeneng},
journal = {Compositio Mathematica},
keywords = {well distribution; uniform distribution; probabilistic result; random variables},
language = {eng},
number = {1},
pages = {15-21},
publisher = {Kluwer Academic Publishers},
title = {On metric theorems in the theory of uniform distribution},
url = {http://eudml.org/doc/90208},
volume = {86},
year = {1993},
}

TY - JOUR
AU - Sun, Yeneng
TI - On metric theorems in the theory of uniform distribution
JO - Compositio Mathematica
PY - 1993
PB - Kluwer Academic Publishers
VL - 86
IS - 1
SP - 15
EP - 21
LA - eng
KW - well distribution; uniform distribution; probabilistic result; random variables
UR - http://eudml.org/doc/90208
ER -

References

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  1. 1 Baayen, P.C. and Hedrlin, Z.: The existence of well distributed sequences in compact spaces, Indag. Math.27 (1965), 221-228. Zbl0166.05601MR177976
  2. 2 Cigler, J.: Der individuelle Ergodensatz in der Theorie der Gleichverteilung mod 1, J. reine angew. Math.205 (1960), 91-100. Zbl0131.29301MR176973
  3. 3 Cigler, J.: A characterization of well-distributed sequences, Compositio Math.17 (1966), 263-267. Zbl0139.27801MR210868
  4. 4 Helmberg, G. and Paalman-De Miranda, A.: Almost no sequence is well distributed, Indag. Math.26 (1964), 488—492. Zbl0125.02704
  5. 5 Hlawka, E.: Folgen auf kompakten Räumen, Abh. math. Sem.Univ. Hamburg20 (1956), 233-241. Zbl0072.05701MR81368
  6. 6 Kemperman, J.H.B.: Probability methods in the theory of distributions modulo one, Compositio Math.16 (1964), 106-137. Zbl0201.37701MR173281
  7. 7 Kuipers, L. and Niederreiter, H.: Uniform Distribution of Sequences, John Wiley & Sons, New York, 1974. Zbl0281.10001MR419394
  8. 8 Niederreiter, H.: On the existence of uniformly distributed sequences in compact spaces, Compositio Math.25 (1972), 93-99. Zbl0239.10019MR316661
  9. 9 Sun, Y.: Isomorphisms for convergence structures, National University of Singapore, 1991. 

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