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A new class of Ornstein transformations with singular spectrum

El Houcein El Abdalaoui·François Parreau·A. A. Prikhod'Ko
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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.

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El Houcein El Abdalaoui, François Parreau, A. A. Prikhod'Ko. 2005-02-13. A new class of Ornstein transformations with singular spectrum. https://arxiv.org/abs/math/0502274

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