29 citations · 161 across the 16 of their papers we have counts for
4 papers · 1 filter
Charmenability of arithmetic groups of product type
Uri Bader, Rémi Boutonnet, Cyril Houdayer +1
We discuss special properties of the spaces of characters and positive definite functions, as well as their associated dynamics, for arithmetic groups of product type. Axiomatizing…
Stationary characters on lattices of semisimple Lie groups
Rémi Boutonnet, Cyril Houdayer
We show that stationary characters on irreducible lattices of higher-rank connected semisimple Lie groups are conjugation invariant, that is, they are genuine characters. Th…
Local spectral gap in the group of Euclidean isometries
Rémi Boutonnet, Adrian Ioana
We provide new examples of translation actions on locally compact groups with the "local spectral gap property" introduced in \cite{BISG15}. This property has applications to stron…
Local spectral gap in simple Lie groups and applications
Rémi Boutonnet, Adrian Ioana, Alireza Salehi Golsefidy
We introduce a novel notion of {\it local spectral gap} for general, possibly infinite, measure preserving actions. We establish local spectral gap for the left translation action…