On the spectral type of some class of rank one flows

2012/05/24 by Abdalaoui, el Houcein el
#37A15 #37A25 #37A30 #42A05 #42A55 #Dynamical Systems (math.DS) #FOS: Mathematics #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.1205.5543

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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