Spectres de M-extensions aléatoires
Annales de l'I.H.P. Probabilités et statistiques, Tome 35 (1999) no. 2, pp. 239-259. 
@article{AIHPB_1999__35_2_239_0,
     author = {Guenais, M\'elanie},
     title = {Spectres de {M-extensions} al\'eatoires},
     journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
     pages = {239--259},
     publisher = {Gauthier-Villars},
     volume = {35},
     number = {2},
     year = {1999},
     mrnumber = {1678530},
     zbl = {0947.37001},
     language = {fr},
     url = {http://archive.numdam.org/item/AIHPB_1999__35_2_239_0/}
}
TY  - JOUR
AU  - Guenais, Mélanie
TI  - Spectres de M-extensions aléatoires
JO  - Annales de l'I.H.P. Probabilités et statistiques
PY  - 1999
SP  - 239
EP  - 259
VL  - 35
IS  - 2
PB  - Gauthier-Villars
UR  - http://archive.numdam.org/item/AIHPB_1999__35_2_239_0/
LA  - fr
ID  - AIHPB_1999__35_2_239_0
ER  - 
%0 Journal Article
%A Guenais, Mélanie
%T Spectres de M-extensions aléatoires
%J Annales de l'I.H.P. Probabilités et statistiques
%D 1999
%P 239-259
%V 35
%N 2
%I Gauthier-Villars
%U http://archive.numdam.org/item/AIHPB_1999__35_2_239_0/
%G fr
%F AIHPB_1999__35_2_239_0
Guenais, Mélanie. Spectres de M-extensions aléatoires. Annales de l'I.H.P. Probabilités et statistiques, Tome 35 (1999) no. 2, pp. 239-259. http://archive.numdam.org/item/AIHPB_1999__35_2_239_0/

[1] J. Aaronson and M. Nadkarni, L∞-eigenvalues and L2-spectra of non singular tranformations, Proc. London Math. Soc., Vol. 55, 1987, pp. 538-570. | MR | Zbl

[2] J. Bourgain, On the spectral type of Ornstein's class one transformations, Israel J. of Math., Vol. 84, 1993, pp. 53-63. | MR | Zbl

[3] R.V. Chacon, A geometric construction of measure-preserving transformations, Proc. Fifth Berkeley Symp. Math. Stat. Proba., 1965 pp. 335-360. | MR | Zbl

[4] J. Choksi and M. Nadkarni, The maximal spectral type of a rank one transformation, Canad. Math. Bull., Vol. 37, 1994, pp. 29-36. | MR | Zbl

[5] J. Choksi and M. Nadkarni, The group of eigenvalues of a rank one transformation, Canad. Math. Bull., Vol. 38, 1995, pp. 42-54. | MR | Zbl

[6] S. Ferenczi, Systèmes de rang fini, Thèse, 1990.

[7] G.R. Goodson, J. Kwiatkowski, M. Lemańczyk and P. Liardet, On the multiplicity function of ergodic group extensions of rotations, Studia Math., Vol. 102, 1992, pp. 157-174. | EuDML | MR | Zbl

[8] M. Guenais, Morse cocycles and simple Lebesgue spectrum, à paraître dans Erg. Th. Dyn. Syst., 1998. | MR | Zbl

[9] H. Helson, Cocycles on the circle, J. Operator Th., Vol. 16, 1986, pp. 189-199. | MR | Zbl

[10] H. Helson and W. Parry, Cocycles and spectra, Arkiv für Math., Vol. 16, 1978, pp. 195-206. | MR | Zbl

[11] B. Host, J.F. Méla and F. Parreau, Non singular transformations and spectral analysis of measures, Bull. Soc. math. France, Vol. 119, 1991, pp. 33-90. | Numdam | MR | Zbl

[12] J. Kwiátkowski (Jr) and M. Lemańczyk, On the multiplicity function of ergodic group extensions 2, Studia Math., Vol. 116, 1995, pp. 207-215. | MR | Zbl

[13] M. Keane, Generalized Morse sequences, Z. Wahr. Verw. Geb., Vol. 10, 1968, pp. 335-353. | MR | Zbl

[14] M. Keane, Strongly mixing g-measures, Inventiones Math., Vol. 16, 1972, pp. 309-324. | MR | Zbl

[15] S.J. Kilmer and S. Saeki, On Riesz product measures; mutual absolute continuity and singularity, Ann. Inst. Fourier, Vol. 32, 1988, pp. 63-93. | Numdam | MR | Zbl

[16] J. Martin, Generalized Morse sequences on n symbols, Proc. of the A.M.S., Vol. 54, 1976, pp. 379-383. | MR | Zbl

[17] M. Osikawa, Point spectrum of non-singular flows, Publ. Res. Inst. Math. Sci. Kyoto Univ., Vol. 13, 1977, pp. 167-172. | MR | Zbl

[18] M. Queffélec, Substitution Dynamical Systems-Spectral Analysis, In A. Dold and B. Eckmann, editors, Lecture Notes in Mathematics, Vol. 1294. Springer-Verlag, 1987. | MR | Zbl

[19] A. Renyi, Calcul des probabilités, Dunod, Paris, 1966. | MR | Zbl

[20] G. Ritter, On Kakutani's theorem for infinite products of not necessarily independant functions, Math. Ann., Vol. 239, 1979, pp. 35-53. | MR | Zbl