Adrien Boyer
Université 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 and Dynamical Systems, to appear (2016) (pdf).

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

Spherical functions on hyperbolic groups, arXiv:1812.10753, preprint (2018) (pdf).


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