Preprints, Working Papers, ... Year : 2012

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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Dates and versions

hal-00701070 , version 1 (24-05-2012)
hal-00701070 , version 2 (10-08-2012)

Identifiers

  • HAL Id : hal-00701070 , version 2

Cite

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