3 citations · 5 across the 8 of their papers we have counts for
5 papers · 1 filter
Asymptotic Schur orthogonality in hyperbolic groups with application to monotony
Adrien Boyer, Łukasz Garncarek
We prove a generalization of Schur orthogonality relations for certain classes of representations of Gromov hyperbolic groups. We apply the obtained results to show that representa…
Ergodic boundary representations
Adrien Boyer, Gabriele Link, Christophe Pittet
We prove a von Neumann type ergodic theorem for averages of unitary operators arising from the Furstenberg-Poisson boundary representation (the quasi-regular representation) of any…
Harish-Chandra--Schwartz's algebras associated with discrete subgroups of Semisimple Lie groups
Adrien Boyer
We prove that the Harish-Chandra--Schwartz space associated with a discrete subgroup of a semisimple Lie group is a dense subalgebra of the reduced -algebra of the discrete su…
Equidistribution, ergodicity and irreducibility associated with Gibbs measures
Adrien Boyer, Dustin Mayeda
We generalize an equidistribution theorem à la Bader-Muchnik for operator-valued measures constructed from a family of boundary representations associated with Gibbs measures in th…
An ergodic theorem for the quasi-regular representation of the free group
Adrien Boyer, Antoine Pinochet Lobos
In \cite{BAMU}, an ergodic theorem à la Birkhoff-von Neumann for the action of the fundamental group of a compact negatively curved manifold on the boundary of its universal cover…