On the spectrum of $\alpha$-rigid maps
Dynamical Systems
2010-07-08 v4
Abstract
It is shown that there exists an -rigid transformation with less or equal to whose spectrum has Lebesgue component. This answers the question raised by Klemes and Reinhold in \cite{Klemes-Reinhold}. We exhibit also a large class of -rigid transformations with singular spectrum.
Cite
@article{arxiv.0902.2622,
title = {On the spectrum of $\alpha$-rigid maps},
author = {El Houcein El Abdalaoui},
journal= {arXiv preprint arXiv:0902.2622},
year = {2010}
}
Comments
15 pages. Accepted for publication in Journal of Dynamical and Control Systems