IP-Dirichlet measures and IP-rigid dynamical systems: an approach via generalized Riesz products
Sophie Grivaux
Studia Mathematica, Tome 215 (2013), p. 237-259 / Harvested from The Polish Digital Mathematics Library
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If (nk)k≥1 is a strictly increasing sequence of integers, a continuous probability measure σ on the unit circle is said to be IP-Dirichlet with respect to (nk)k≥1 if σ̂(∑k∈Fnk)→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 recently been investigated by Aaronson, Hosseini and Lemańczyk. We simplify and generalize some of their results, using an approach involving generalized Riesz products.

Publié le : 2013-01-01
EUDML-ID : urn:eudml:doc:285568 
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Sophie Grivaux. IP-Dirichlet measures and IP-rigid dynamical systems: an approach via generalized Riesz products. Studia Mathematica, Tome 215 (2013) pp. 237-259. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm215-3-3/