Répartitions uniformes des suites et indépendance statistique

Jean Coquet; Pierre Liardet

Compositio Mathematica (1984)

  • Volume: 51, Issue: 2, page 215-236
  • ISSN: 0010-437X

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Coquet, Jean, and Liardet, Pierre. "Répartitions uniformes des suites et indépendance statistique." Compositio Mathematica 51.2 (1984): 215-236. <http://eudml.org/doc/89642>.

@article{Coquet1984,
author = {Coquet, Jean, Liardet, Pierre},
journal = {Compositio Mathematica},
keywords = {uniform distribution; compact metric space; probability measure; relations between different types of -distribution; statistical independence of subsequences; equi--distribution of subsequences},
language = {fre},
number = {2},
pages = {215-236},
publisher = {Martinus Nijhoff Publishers},
title = {Répartitions uniformes des suites et indépendance statistique},
url = {http://eudml.org/doc/89642},
volume = {51},
year = {1984},
}

TY - JOUR
AU - Coquet, Jean
AU - Liardet, Pierre
TI - Répartitions uniformes des suites et indépendance statistique
JO - Compositio Mathematica
PY - 1984
PB - Martinus Nijhoff Publishers
VL - 51
IS - 2
SP - 215
EP - 236
LA - fre
KW - uniform distribution; compact metric space; probability measure; relations between different types of -distribution; statistical independence of subsequences; equi--distribution of subsequences
UR - http://eudml.org/doc/89642
ER -

References

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  1. [1] P.C. Baayen and Z. Hedrlin: The existence of well-distributed sequences in compact spaces. Indag. Math.27 (1965) 221-228. Zbl0166.05601MR177976
  2. [2] J. Coquet: Types de répartition complète des suites. Annales Faculté Sciences Toulouse2 (1980) 137-155. Zbl0447.10048MR595196
  3. [3] J. Coquet and P. Liardet: A metric study involving independent sequences. En préparation. Zbl0645.10044
  4. [4] H. Daboussi: On the density of direct factors. Journal of London Math. Soc.19 (1979) 21-24. Zbl0409.10044MR527730
  5. [5] H. Daboussi and H. Delange: Quelques propriétés des fonctions multiplicatives de module au plus égal à 1. C.R.A.S. Paris278 (1974) 657-660. Zbl0292.10034MR332702
  6. [6] J. Kubilius: Probabilistic methods in the theory of numbers. Translations of Math. Monographs, A.M.S., vol. 11. Zbl0133.30203MR160745
  7. [7] L. Kuipers and H. Niederreiter: Uniform distribution of sequences. Wiley, Interscience (1974). Zbl0281.10001MR419394
  8. [8] M. Mendes-France: Les suites à spectre vide et la répartition modulo 1. Journal of Number Theory5 (1973) 1-15. Zbl0252.10033MR319909
  9. [9] G. Rauzy: Propriétés statistiques de suites arithmétiques. P.U.F., Collection Sup. le Mathématicien 15 (1976). Zbl0337.10036MR409397
  10. [10] E. Szemeredi: On sets of integers containing no k elements in arithmetic progressions. Acta Arithmetica27 (1975) 199-247. Zbl0303.10056MR369312

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