Singularité des produits de Anzai associés aux fonctions caractéristiques d'un intervalle

Mélanie Guenais

Bulletin de la Société Mathématique de France (1999)

  • Volume: 127, Issue: 1, page 71-93
  • ISSN: 0037-9484

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Guenais, Mélanie. "Singularité des produits de Anzai associés aux fonctions caractéristiques d'un intervalle." Bulletin de la Société Mathématique de France 127.1 (1999): 71-93. <http://eudml.org/doc/87802>.

@article{Guenais1999,
author = {Guenais, Mélanie},
journal = {Bulletin de la Société Mathématique de France},
keywords = {ergodic theory; spectral theory; spectral singularity; twisted product; rotation; continued fraction; Anzai skew product},
language = {fre},
number = {1},
pages = {71-93},
publisher = {Société mathématique de France},
title = {Singularité des produits de Anzai associés aux fonctions caractéristiques d'un intervalle},
url = {http://eudml.org/doc/87802},
volume = {127},
year = {1999},
}

TY - JOUR
AU - Guenais, Mélanie
TI - Singularité des produits de Anzai associés aux fonctions caractéristiques d'un intervalle
JO - Bulletin de la Société Mathématique de France
PY - 1999
PB - Société mathématique de France
VL - 127
IS - 1
SP - 71
EP - 93
LA - fre
KW - ergodic theory; spectral theory; spectral singularity; twisted product; rotation; continued fraction; Anzai skew product
UR - http://eudml.org/doc/87802
ER -

References

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  9. [9] KATOK (A.B.), STEPIN (A.M.). — Approximations in ergodic theory, Russian Math. Surveys, t. 22, 1967, p. 77-102. Zbl0172.07202MR36 #2776
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  11. [11] MERRILL (K.D.). — Cohomology of step functions under irrational rotations, Israel J. Math., t. 52, 1985, p. 320-340. Zbl0616.28010MR88b:39009
  12. [12] OSELEDETS (V.I.). — The spectrum of ergodic automorphisms, Soviet. Math. Dokl., t. 7, 1966, p. 776-779. Zbl0152.33404
  13. [13] QUEFFÉLEC (M.). — Substitution Dynamical Systems, Spectral Analysis, in A. Dold and B. Eckmann, eds, Lecture Notes in Mathematics, vol. 1294, Springer-Verlag, 1987. Zbl0642.28013MR89g:54094
  14. [14] RAUZY (G.). — Échanges d'intervalles et transformations induites, Acta Arithmetica, t. 34, 1979, p. 315-328. Zbl0414.28018MR82m:10076
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  16. [16] VEECH (W.A.). — Strict ergodicity in zero dimensional dynamical systems and the Kronecker-Weyl theorem modulo 2, Trans. Amer. Math. Soc., t. 140, 1969, p. 1-33. Zbl0201.05601MR39 #1410

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