Singularité des produits de Anzai associés aux fonctions caractéristiques d'un intervalle
Bulletin de la Société Mathématique de France (1999)
- Volume: 127, Issue: 1, page 71-93
- ISSN: 0037-9484
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topGuenais, 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
top- [1] GOODSON (G.R.). — Approximations and spectral theory of finite skew products, J. London Math. Soc., t. 14, 1976, p. 249-259. Zbl0343.28008MR55 #620
- [2] GUENAIS (M.). — Une majoration de la multiplicité spectrale d'opérateurs associés à des cocycles réguliers, Israel J. Math., t. 105, 1998, p. 263-283. Zbl0911.28013MR99i:28021
- [3] HELSON (H.). — Cocycles on the circle, J. Operator Theory, t. 16, 1986, p. 189-199. Zbl0644.43003MR88f:22020
- [4] HOST (B.), MÉLA (J.F.), PARREAU (F.). — Non singular transformations and spectral analysis of measures, Bull. Soc. Math. France, t. 119, 1991, p. 33-90. Zbl0748.43001MR93d:43002
- [5] HOST (B.), PARREAU (F.). — The generalized purity law for ergodic measures : a simple proof, Colloq. Math., t. 60, 1990, p. 205-212. Zbl0727.28010MR92b:28020
- [6] IWANIK (A.), LEMAŃCZYK (M.), MAUDUIT (C.). — Piecewise absolutely continuous cocycles over irrational rotations, à paraître dans J. London Math. Soc. Zbl0931.28015
- [7] KWIÁTKOWSKI JR (J.), LEMAŃCZYK (M.). — On the multiplicity function of ergodic group extensions, II, Studia Math., t. 116, 1995, p. 207-215. Zbl0857.28012MR96m:28020
- [8] KATOK (A.B.), STEPIN (A.M.). — Approximations of ergodic dynamic systems by periodic transformations, Soviet. Math. Dokl., t. 7, 1966, p. 1638-1641. Zbl0186.46701MR34 #7774a
- [9] KATOK (A.B.), STEPIN (A.M.). — Approximations in ergodic theory, Russian Math. Surveys, t. 22, 1967, p. 77-102. Zbl0172.07202MR36 #2776
- [10] KHINCHIN (A.). — Continued Fractions. — University of Chicago Press, 1964. Zbl0117.28601MR28 #5037
- [11] MERRILL (K.D.). — Cohomology of step functions under irrational rotations, Israel J. Math., t. 52, 1985, p. 320-340. Zbl0616.28010MR88b:39009
- [12] OSELEDETS (V.I.). — The spectrum of ergodic automorphisms, Soviet. Math. Dokl., t. 7, 1966, p. 776-779. Zbl0152.33404
- [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] RAUZY (G.). — Échanges d'intervalles et transformations induites, Acta Arithmetica, t. 34, 1979, p. 315-328. Zbl0414.28018MR82m:10076
- [15] RILEY (G.W.). — On spectral properties of skew products over irrational rotations., J. London Math. Soc., t. 17, 1978, p. 152-160. Zbl0402.47004MR81f:28018
- [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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