@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://www.numdam.org/item/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://www.numdam.org/item/AIHPB_1999__35_2_239_0/
[1] L∞-eigenvalues and L2-spectra of non singular tranformations, Proc. London Math. Soc., Vol. 55, 1987, pp. 538-570. | MR | Zbl
and ,[2] On the spectral type of Ornstein's class one transformations, Israel J. of Math., Vol. 84, 1993, pp. 53-63. | MR | Zbl
,[3] A geometric construction of measure-preserving transformations, Proc. Fifth Berkeley Symp. Math. Stat. Proba., 1965 pp. 335-360. | MR | Zbl
,[4] The maximal spectral type of a rank one transformation, Canad. Math. Bull., Vol. 37, 1994, pp. 29-36. | MR | Zbl
and ,[5] The group of eigenvalues of a rank one transformation, Canad. Math. Bull., Vol. 38, 1995, pp. 42-54. | MR | Zbl
and ,[6] Systèmes de rang fini, Thèse, 1990.
,[7] On the multiplicity function of ergodic group extensions of rotations, Studia Math., Vol. 102, 1992, pp. 157-174. | EuDML | MR | Zbl
, , and ,[8] Morse cocycles and simple Lebesgue spectrum, à paraître dans Erg. Th. Dyn. Syst., 1998. | MR | Zbl
,[9] Cocycles on the circle, J. Operator Th., Vol. 16, 1986, pp. 189-199. | MR | Zbl
,[10] Cocycles and spectra, Arkiv für Math., Vol. 16, 1978, pp. 195-206. | MR | Zbl
and ,[11] Non singular transformations and spectral analysis of measures, Bull. Soc. math. France, Vol. 119, 1991, pp. 33-90. | Numdam | MR | Zbl
, and ,[12] On the multiplicity function of ergodic group extensions 2, Studia Math., Vol. 116, 1995, pp. 207-215. | MR | Zbl
and ,[13] Generalized Morse sequences, Z. Wahr. Verw. Geb., Vol. 10, 1968, pp. 335-353. | MR | Zbl
,[14] Strongly mixing g-measures, Inventiones Math., Vol. 16, 1972, pp. 309-324. | MR | Zbl
,[15] On Riesz product measures; mutual absolute continuity and singularity, Ann. Inst. Fourier, Vol. 32, 1988, pp. 63-93. | Numdam | MR | Zbl
and ,[16] Generalized Morse sequences on n symbols, Proc. of the A.M.S., Vol. 54, 1976, pp. 379-383. | MR | Zbl
,[17] Point spectrum of non-singular flows, Publ. Res. Inst. Math. Sci. Kyoto Univ., Vol. 13, 1977, pp. 167-172. | MR | Zbl
,[18] Substitution Dynamical Systems-Spectral Analysis, In A. Dold and B. Eckmann, editors, Lecture Notes in Mathematics, Vol. 1294. Springer-Verlag, 1987. | MR | Zbl
,[19] Calcul des probabilités, Dunod, Paris, 1966. | MR | Zbl
,[20] On Kakutani's theorem for infinite products of not necessarily independant functions, Math. Ann., Vol. 239, 1979, pp. 35-53. | MR | Zbl
,