Title :

IP-Dirichlet measures and IP-rigid dynamical systems: an approach via generalized Riesz products

Author(s) :

Grivaux, Sophie [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]

Journal title :

Studia Mathematica

Pages :

237-259

Publisher :

Instytut Matematyczny - Polska Akademii Nauk

Publication date :

2013

ISSN :

0039-3223

English keyword(s) :

Dirichlet and IP-Dirichlet measures
rigid and IP-rigid weakly mixing dynamical systems
generalized Riesz products

HAL domain(s) :

Mathématiques [math]/Systèmes dynamiques [math.DS]

English abstract : [en]

If (nk)k≥1 is a strictly increasing sequence of integers, a continuous probability measure σ on the unit circle T is said to be IP-Dirichlet with respect to (nk)k≥1 if σˆ(Σk∈F nk) → 1 as F runs over all non-empty finite ...
Show more >If (nk)k≥1 is a strictly increasing sequence of integers, a continuous probability measure σ on the unit circle T is said to be IP-Dirichlet with respect to (nk)k≥1 if σˆ(Σk∈F nk) → 1 as F runs over all non-empty finite subsets F of N and the minimum of F tends to infinity. IP-Dirichlet measures and their connections with IP-rigid dynamical systems have been investigated recently by Aaronson, Hosseini and Lema´nczyk. We simplify and generalize some of their results, using an approach involving generalized Riesz products.Show less >

Language :

Anglais

Popular science :

Non

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL