A new class of Ornstein transformations with singular spectrum
classification
🧮 math.DS
keywords
ornsteinsingularspectrumalmostbourgainclassconstructionconstructions
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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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