48 citations · 59 across the 7 of their papers we have counts for
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Around Furstenberg's times , times conjecture: times -invariant measures with some large Fourier coefficients
Catalin Badea, Sophie Grivaux
For each integer , denote by the map from the circle group into itself. Let be two multiplicativ…
Rigidity sequences, Kazhdan sets and group topologies on the integers
Catalin Badea, Sophie Grivaux, Etienne Matheron
We study the relationships between three different classes of sequences (or sets) of integers, namely rigidity sequences, Kazhdan sequences (or sets) and nullpotent sequences. We p…
Kazhdan constants, continuous probability measures with large Fourier coefficients and rigidity sequences
Catalin Badea, Sophie Grivaux
Exploiting a construction of rigidity sequences for weakly mixing dynamical systems by Fayad and Thouvenot, we show that for every integers there exists a conti…
IP-Dirichlet measures and IP-rigid dynamical systems: an approach via generalized Riesz products
Sophie Grivaux
If is a strictly increasing sequence of integers, a continuous probability measure on the unit circle is said to be IP-Dirichlet with respect to…