A new class of rank one transformations with singular spectrum

El Houcein El Abdalaoui (1)

1 LMRS - Laboratoire de Mathématiques Raphaël Salem

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

Mots clés: rank one maps; spectral type; central limit theorem; trigonometric series; Riesz products; Banach problem

Domaines: Systèmes dynamiques [math.DS]

El Houcein El Abdalaoui. A new class of rank one transformations with singular spectrum. Ergodic Theory and Dynamical Systems, 2007, 27 (5), pp.1541--1555. ⟨hal-00141923⟩