L'ergodicité induit un type spectral maximal équivalent à la mesure de Lebesgue

Thierry de La Rue

Annales de l'I.H.P. Probabilités et statistiques (1998)

  • Volume: 34, Issue: 2, page 249-263
  • ISSN: 0246-0203

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La Rue, Thierry de. "L'ergodicité induit un type spectral maximal équivalent à la mesure de Lebesgue." Annales de l'I.H.P. Probabilités et statistiques 34.2 (1998): 249-263. <http://eudml.org/doc/77602>.

@article{LaRue1998,
author = {La Rue, Thierry de},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {induced transformation; skew product extension; maximal spectral type; Bernoulli scheme},
language = {fre},
number = {2},
pages = {249-263},
publisher = {Gauthier-Villars},
title = {L'ergodicité induit un type spectral maximal équivalent à la mesure de Lebesgue},
url = {http://eudml.org/doc/77602},
volume = {34},
year = {1998},
}

TY - JOUR
AU - La Rue, Thierry de
TI - L'ergodicité induit un type spectral maximal équivalent à la mesure de Lebesgue
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1998
PB - Gauthier-Villars
VL - 34
IS - 2
SP - 249
EP - 263
LA - fre
KW - induced transformation; skew product extension; maximal spectral type; Bernoulli scheme
UR - http://eudml.org/doc/77602
ER -

References

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  1. [1] R.V. Chacon, Change of Velocity in Flows, Journal of Mathematics and Mechanics, Vol. 16, 5, 1966, p. 417-431. Zbl0158.30301MR207955
  2. [2] J.P. Conze, Équations Fonctionnelles et Systèmes Induits en Théorie Ergodique", Z. Wahrscheinlichkeitstheories verw. Geb., Vol. 23, 1972, p. 75-82. Zbl0246.28016MR320272
  3. [3] I.P. Cornfeld, S.V. Fomin et Ya.G. Sinai, Ergodic Theory, Springer-Verlag, 1982. Zbl0493.28007MR832433
  4. [4] A. Del Junco et D.J. Rudolph, Residual behavior of induced maps. preprint. Zbl0864.28011MR1380654
  5. [5] N.A. Friedman et D.S. Ornstein, Ergodic transformations induce mixing transformations, Advances in Mathematics, Vol. 10, 1973, p. 147-163. Zbl0246.28011MR322134
  6. [6] G. Hansel, Automorphismes induits et valeurs propres, Z. Wahrschein lichkeitstheorie verw. Geb., Vol. 25, 1973, p. 75-82. Zbl0256.28013MR340546
  7. [7] S. Kakutani, Induced measure preserving transformations. Proc. Acad. Tokyo, 19, 1943, p. 635-641. Zbl0060.27406MR14222
  8. [8] I. Meilijson, Mixing properties of a class of skew-products, Israel Journal of Mathematics, Vol. 19, 1974, p. 266-270. Zbl0305.28008MR372158
  9. [9] D.S. Ornstein, D.J. Rudolph et B. Weiss, Equivalence of Measure Preserving Transformations. Memoirs of the American Mathematical Society, Vol. 262, 1982. Zbl0504.28019MR653094
  10. [10] D.S. Ornstein et M. Smorodinsky, Ergodic flows of positive entropy can be time changed to become K-flows, Israel Journal of Mathematics, Vol. 26, 1977, pp. 75-83. Zbl0346.28011MR447526
  11. [11] M. Ratner, Horocycle flows are loosely Bernoulli, Israel Journal of Mathematics, Vol. 31, 1978, p. 122-131. Zbl0417.58013MR516248
  12. [12] T. De La Rue, L'induction ne donne pas toutes les mesures spectrales, à paraître dans Ergod. Th. & Dynam. Sys. Zbl0917.58021

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