14 citations · 25 across the 4 of their papers we have counts for
4 papers
Random walks with bounded first moment on finite-volume spaces
Timothée Bénard, Nicolas de Saxcé
Let be a real Lie group, a lattice, and . We study the equidistribution properties of the left random walk on induced by a probability measure on .…
Borelian subgroups of simple Lie groups
Nicolas de Saxcé
We prove that in a simple real Lie group, there is no Borel measurable dense subgroup of intermediate Hausdorff dimension.
A spectral gap theorem in simple Lie groups
Yves Benoist, Nicolas de Saxcé
We establish the spectral gap property for dense subgroups generated by algebraic elements in any compact simple Lie group, generalizing earlier results of Bourgain and Gamburd for…
Diophantine properties of nilpotent Lie groups
Menny Aka, Emmanuel Breuillard, Lior Rosenzweig +1
A finitely generated subgroup Γ of a real Lie group G is said to be Diophantine if there is β> 0 such that non-trivial elements in the word ball B_Γ(n) centered at the identity nev…