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A new class of rank-one transformations with singular spectrum

Published online by Cambridge University Press:  01 October 2007

EL HOUCEIN EL ABDALAOUI
EL HOUCEIN EL ABDALAOUI*
Affiliation:
Université de Rouen-Mathématiques, Laboratoire de Maths Raphael Salem, UMR 60 85 CNRS, Avenue de l’Université, BP 12, 76801 Saint Etienne du Rouvray, France (email: [email protected])
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Abstract

We introduce a new tool to study the spectral type of rank-one transformations using the method of the central limit theorem for trigonometric sums. We get some new applications.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 27 , Issue 5 , October 2007 , pp. 1541 - 1555
Copyright
Copyright © Cambridge University Press 2007

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