A new class of Ornstein transformations with singular spectrum

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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.
2004

Keywords

Dynamical Systems, Primary : 28D05; secondary : 47A35

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/74182

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0502274
 http://arxiv.org/abs/math/0502274

Collections

arXiv