# On the spectral type of some class of rank one flows

Abstract : It is shown that a certain class of Riesz product type measure on $\R$ is singular. This proves the singularity of the spectral types of some class of rank one flows. Our method is based on the extension of the Central Limit Theorem approach to the real line which gives a new extension of Salem-Zygmund Central Limit Theorem.
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https://hal.archives-ouvertes.fr/hal-00701070
Contributor : El Houcein El Abdalaoui <>
Submitted on : Friday, August 10, 2012 - 11:43:45 PM
Last modification on : Tuesday, February 5, 2019 - 11:44:10 AM
Long-term archiving on : Sunday, November 11, 2012 - 2:30:55 AM

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• HAL Id : hal-00701070, version 2

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El Houcein El Abdalaoui. On the spectral type of some class of rank one flows. 2012. ⟨hal-00701070v2⟩

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