Uniform distribution preserving mappings

R. F. Tichy; R. Winkler

Acta Arithmetica (1991)

  • Volume: 60, Issue: 2, page 177-189
  • ISSN: 0065-1036

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R. F. Tichy, and R. Winkler. "Uniform distribution preserving mappings." Acta Arithmetica 60.2 (1991): 177-189. <http://eudml.org/doc/206432>.

@article{R1991,
author = {R. F. Tichy, R. Winkler},
journal = {Acta Arithmetica},
keywords = {well distribution; measure preserving maps; nowhere differentiable functions; Jordan measure; uniform distribution preserving; normalized Borel measure; positive regular limitation method},
language = {eng},
number = {2},
pages = {177-189},
title = {Uniform distribution preserving mappings},
url = {http://eudml.org/doc/206432},
volume = {60},
year = {1991},
}

TY - JOUR
AU - R. F. Tichy
AU - R. Winkler
TI - Uniform distribution preserving mappings
JO - Acta Arithmetica
PY - 1991
VL - 60
IS - 2
SP - 177
EP - 189
LA - eng
KW - well distribution; measure preserving maps; nowhere differentiable functions; Jordan measure; uniform distribution preserving; normalized Borel measure; positive regular limitation method
UR - http://eudml.org/doc/206432
ER -

References

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  1. [BH] P. C. Baayen and Z. Hedrlin, The existence of well distributed sequences in compact spaces, Indag. Math. 27 (1965), 221-228. Zbl0166.05601
  2. [Bi] C. Binder, Über einen Satz von de Bruijn und Post, Österr. Akad. Wiss. Math.-Naturw. Kl. S.B. II 179 (1971), 233-251. Zbl0262.26010
  3. [Bo] W. Bosch, Functions that preserve the uniform distribution of sequences, Trans. Amer. Math. Soc. 307 (1988), 143-152. Zbl0651.10032
  4. [BP] N. G. de Bruijn and K. A. Post, A remark on uniformly distributed sequences and Riemann integrability, Indag. Math. 30 (1968), 149-150. Zbl0169.38401
  5. [De] J. Descovich, Zur Theorie der Gleichverteilung auf kompakten Räumen, Österr. Akad. Wiss. Math.-Naturw. Kl. S.B. II 178 (1969), 263-283. Zbl0217.32702
  6. [Hl] E. Hlawka, Theorie der Gleichverteilung, Bibl. Inst., Mannheim-Wien-Zürich 1979. Zbl0406.10001
  7. [Ko] C. Kopf, Invariant measures for piecewise linear transformations of the interval, Appl. Math. Comput. 39 (1990), 123-144. Zbl0712.28007
  8. [KN] L. Kuipers and H. Niederreiter, Uniform Distribution of Sequences, John Wiley and Sons, New York 1974. Zbl0281.10001
  9. [Lo] G. G. Lorentz, A contribution to the theory of divergent series, Acta Math. 80 (1948), 167-190. Zbl0031.29501
  10. [Ma] S. Marcus, La superposition des fonctions et l'isométrie des certaines classes des fonctions, Bull. Math. Soc. Sci. Math. Phys. Roumanie 1 (1957), 69-76. Zbl0081.05003
  11. [PSS] S. Porubský, T. Šalát and O. Strauch, Transformations that preserve uniform distribution, Acta Arith. 49 (1988), 459-479. Zbl0656.10047

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