Sur les transformations linéaires modulo un

R. Cabane

Annales de l'I.H.P. Probabilités et statistiques (1979)

  • Volume: 15, Issue: 2, page 187-193
  • ISSN: 0246-0203

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Cabane, R.. "Sur les transformations linéaires modulo un." Annales de l'I.H.P. Probabilités et statistiques 15.2 (1979): 187-193. <http://eudml.org/doc/77119>.

@article{Cabane1979,
author = {Cabane, R.},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {support of the invariant mesure; ergodicity; weak Bernoulli partition},
language = {fre},
number = {2},
pages = {187-193},
publisher = {Gauthier-Villars},
title = {Sur les transformations linéaires modulo un},
url = {http://eudml.org/doc/77119},
volume = {15},
year = {1979},
}

TY - JOUR
AU - Cabane, R.
TI - Sur les transformations linéaires modulo un
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1979
PB - Gauthier-Villars
VL - 15
IS - 2
SP - 187
EP - 193
LA - fre
KW - support of the invariant mesure; ergodicity; weak Bernoulli partition
UR - http://eudml.org/doc/77119
ER -

References

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  1. [1] A. Renyl, Representations for real numbers and their ergodic properties. Acta Math. Acad. Sci. Hungar, t. 8, 1957, p. 477-493. Zbl0079.08901MR97374
  2. [2] W. Parry, Representations for real numbers. Acta. Math. Acad. Sci. Hungar., t. 15, 1964, p. 95-105. Zbl0136.35104MR166332
  3. [3] M. Smorodinsky, β-automorphisms are Bernoulli. Acta. Math. Acad. Sci. Hungar., t. 24, 1973, p. 273-278. Zbl0268.28007MR346133
  4. [4] K.M. Wilkinson, Ergodic properties of certain linear modulo one transformations. Adv. in Math., t. 14, 1974, p. 64-72. Zbl0286.28009MR344421
  5. [5] M. Ratner, Bernoulli flows over maps of the interval. Israel Journal of Math., t. 31, 1978, p. 298-313. Zbl0435.58022MR516152
  6. [6] A. Lasota, Y. Yorke, On the existence of invariant measures for piecewise monotonic transformations. Trans. Amer. Math. Soc., t. 186, 1973, p. 481-488. Zbl0298.28015MR335758
  7. [7] Z.S. Kowalski, Invariant measures for piecewise monotonic transformations, 1975, Springer Lecture Notes 472, 77-94. Zbl0309.28004MR390173
  8. [8] Z.S. Kowalski, Some remarks about the invariant measures for piecewise monotonic transformations. Bull. Acad. Pol. Sci. Ser. Math., t. 25, n° 1, 1977, p. 7-12. Zbl0349.28012MR430212
  9. [9] R. Bowen, Bernoulli maps of the unit interval. Israel Journal of Math., t. 28, 1977, p. 161-168. Zbl0377.28010MR453974

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