A new class of Ornstein transformations with singular spectrum

Details A new class of Ornstein transformations with singular spectrum A new class of Ornstein transformations with singular spectrum

2005-02-13

arxiv.org/abs/math/0502274v1

Mathematics

Dynamical Systems

2004

Scientific paper

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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