We prove results about orbit closures and equidistribution for the SL (2, ℝ) action on the
moduli space of compact Riemann surfaces, which are analogous to the theory of unipotent …

Soient G un groupe de Lie réel simple, Λ un réseau de G et Γ un soussemi-groupe Zariski
dense de G. On montre que toute partie infinie Γ-invariante dans le quotient X= G/Λ est …

Let G be a real Lie group, Λ be a lattice in G and Γ be a compactly generated closed
subgroup of G. If the Zariski closure of the group Ad (Γ) is semisimple with no compact factor …

Let $ G $ be a real Lie group, $\Lambda $ a lattice of $ G $, $\mu $ a compactly supported
probability measure on $ G $, and $\Gamma $ the subgroup generated by the support of …

We prove effective density theorems, with a polynomial error rate, for orbits of the upper
triangular subgroup of SL 2 (R) in arithmetic quotients of SL 2 (C) and SL 2 (R)× SL 2 (R) …

We prove that the Lyapunov exponents of random products in a (real or complex) matrix
group depends continuously on the matrix coefficients and probability weights. More …

Extending previous results by A. Eskin and G. Margulis, and answering their conjectures, we
prove that a random walk on a finite volume homogeneous space is always recurrent as …

Quantitative recurrence and large deviations for Teichmuller geodesic flow Page 1 Geom
Dedicata (2006) 119:121–140 DOI 10.1007/s10711-006-9058-z ORIGINAL ARTICLE …

We prove the following conjecture of Margulis. Let G be a higher rank simple Lie group, and
let Λ≤G be a discrete subgroup of infinite covolume. Then, the locally symmetric space …

We extend results of Y. Benoist and J.-F. Quint concerning random walks on homogeneous
spaces of simple Lie groups to the case where the measure defining the random walk …