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

Sophie Grivaux. "IP-Dirichlet measures and IP-rigid dynamical systems: an approach via generalized Riesz products." Studia Mathematica 215.3 (2013): 237-259. <http://eudml.org/doc/285568>.

@article{SophieGrivaux2013,
abstract = {If $(n_\{k\})_\{k≥1\}$ 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 $(n_\{k\})_\{k≥1\}$ if $σ̂(∑_\{k∈ F\}n_\{k\}) → 1$ 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.},
author = {Sophie Grivaux},
journal = {Studia Mathematica},
keywords = {Dirichlet measures; IP-Dirichlet measures; IP-rigid weakly dynamical systems},
language = {eng},
number = {3},
pages = {237-259},
title = {IP-Dirichlet measures and IP-rigid dynamical systems: an approach via generalized Riesz products},
url = {http://eudml.org/doc/285568},
volume = {215},
year = {2013},
}

TY - JOUR
AU - Sophie Grivaux
TI - IP-Dirichlet measures and IP-rigid dynamical systems: an approach via generalized Riesz products
JO - Studia Mathematica
PY - 2013
VL - 215
IS - 3
SP - 237
EP - 259
AB - If $(n_{k})_{k≥1}$ 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 $(n_{k})_{k≥1}$ if $σ̂(∑_{k∈ F}n_{k}) → 1$ 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.
LA - eng
KW - Dirichlet measures; IP-Dirichlet measures; IP-rigid weakly dynamical systems
UR - http://eudml.org/doc/285568
ER -