Nonsingular $α$-rigid maps: Short proof
Abstract
Description
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.
3 pages
3 pages