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arXiv · 0905.1091

Nonsingular $α$-rigid maps: Short proof

Oleg N. Ageev
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Abstract

It is shown that for every $α$, where $α\in [0, 1/2]$, there exists an $α$-rigid transformation whose spectrum has Lebesgue component. This answers the question posed by Klemes and Reinhold in [7]. We apply a certain correspondence between weak limits of powers of a transformation and its skew products.

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Oleg N. Ageev. 2009-05-07. Nonsingular $α$-rigid maps: Short proof. https://arxiv.org/abs/0905.1091

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