Mathematics – Dynamical Systems
Scientific paper
2009-05-07
Mathematics
Dynamical Systems
3 pages
Scientific paper
It is shown that for every $\alpha$, where $\alpha\in [0, 1/2]$, there exists
an $\alpha$-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.
Ageev Oleg N.
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