A new class of Ornstein transformations with singular spectrum
Dynamical Systems
2007-05-23 v1
Abstract
It is shown that for any family of probability measures in Ornstein type constructions the corresponding transformation has almost surely a singular spectrum. This is a new generalization of Bourgain's theorem, the same result is proved for Rudolph's construction.
Cite
@article{arxiv.math/0502274,
title = {A new class of Ornstein transformations with singular spectrum},
author = {El Houcein El Abdalaoui and François Parreau and A. A. Prikhod'Ko},
journal= {arXiv preprint arXiv:math/0502274},
year = {2007}
}
Comments
2004