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On the spectrum of α-rigid maps

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Abstract

We show that there exists an α-rigid transformation with α ≤ 1/2 whose spectrum has a Lebesgue component. This answers the question stated by Klemes and Reinhold in [30]. Moreover, we introduce a new criterion to identify a large class of α-rigid transformations with singular spectrum.

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  1. Department of Matehmatics, University of Rouen, Rouen, France

    E. H. El Abdalaoui

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  1. E. H. El Abdalaoui
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El Abdalaoui, E.H. On the spectrum of α-rigid maps. J Dyn Control Syst 15, 453–470 (2009). https://doi.org/10.1007/s10883-009-9076-x

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  • DOI: https://doi.org/10.1007/s10883-009-9076-x

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