Adrien Boyer
Université; Paris Cité (anciennement Paris Diderot, Paris 7)
8 place Aurélie Nemours
Paris, 75013
Office 736

Research areas:

Ergodic theory, group representation theory and abstract harmonic analysis, discrete groups in semisimple Lie groups and operators algebras.

Publications and preprints:

Semisimple Lie groups satify property RD: a short proof, C. R. Math. Acad. Sci. Paris 351 (2013), no. 9-10, 335—338. (pdf).

Quasi-regular representations and rapid decay, Potential Anal. 44 (2016), no. 2, 355—372. (pdf).

Equidistribution, ergodicity and irreducibility in CAT(-1) spaces, Groups Geom. Dyn. 11 (2017), no. 3, 777—818. (pdf).

A theorem à la Fatou for the square root of Poisson kernel in delta-hyperbolic spaces and decay of matrix coefficients for boundary representations, J. Geom. Anal. 28 (2018), no. 1, 284—316. (pdf).

with Antoine Pinochet Lobos, An ergodic theorem for the boundary representations of free group, Bull. Belg. Math. Soc. Simon Stevin 24 (2017), no. 2, 243—255. (pdf).

with Dustin Mayeda, Equidistribution, ergodicity and irreducibility associated with Gibbs measures, Comment. Math. Helv. 92 (2017), no. 2, 349—387 (pdf).

Harish-Chandra‘s Schwartz algebras associated with discrete subgroups of semisimple Lie groups, J. Lie Theory 27 (2017), no. 3, 831—844. (pdf).

with Christophe Pittet and Gabriele Link, Ergodic boundary representations, Ergodic Theory Dynam. Systems 39 (2019), no. 8, 2017—2047, (pdf).

with Lukasz Garncarek, Asymptotic Schur orthogonality with application to Monotony, Trans. Amer. Math. Soc. 371 (2019), no. 10, 6815—6841. (pdf).

Some spherical functions on hyperbolic groups, Journal of Topology and Analysis Vol. 13, No. 04, pp. 1125-1174 (2021) (pdf).

with Antoine Pinochet Lobos and Christophe Pittet, Radial rapid decay does not imply rapid decay, accepted to Annales de l'Institut Fourier (2021) (pdf).

with Jean-Claude Picaud, Riesz operators and some spherical representations for hyperbolic groups, accepted to Israel Journal of Mathematics (2022) (pdf).

with Jean-Martin Paoli, Lp boundary representations for hyperbolic groups, arXiv:2302.13716 (2023) (pdf).

with Alexander Bendikov and Christophe Pittet, Braiding and asymptotic Schur's orthogonality, arXiv:2307.04538 (2023) (pdf).


Here is my CV
Here is my PhD thesis