ERGODICITY INDUCES A LEBESGUE MAXIMAL SPE CTRAL TYPE

Authors
DELARUE T
Citation
T. Delarue, ERGODICITY INDUCES A LEBESGUE MAXIMAL SPE CTRAL TYPE, Annales de l'I.H.P. Probabilites et statistiques, 34(2), 1998, pp. 249-263
Citations number
12
Categorie Soggetti
Statistic & Probability","Statistic & Probability
Journal title
Annales de l'I.H.P. Probabilites et statistiques → ACNP
ISSN journal
02460203
Volume
34
Issue
2
Year of publication
1998
Pages
249 - 263
Database
ISI
SICI code
0246-0203(1998)34:2<249:EIALMS>2.0.ZU;2-J
Abstract
It is shown that every ergodic automorphism of a Lebesgue space induce s, on a dense class of sets, some transformations whose maximal spectr al type is equivalent to the Lebesgue measure. (C) Elsevier, Paris.