2 citations · 3 across the 4 of their papers we have counts for
5 papers
Size of discriminants of periodic geodesics of the modular surface
François Maucourant
Pick a random matrix in . Denote by the Dedekind ring generated by its eigenvalues, and let , and be t…
Unique ergodicity of asynchronous rotations, and application
François Maucourant
The main result of this paper is an analogue for a continuous family of tori of Kronecker-Weyl's unique ergodicity of irrational rotations. We show that the notion corresponding in…
Distribution of orbits in of a finitely generated group of $\SL(2,\R)$
François Maucourant, Barbara Schapira
In this work, we study the asymptotic distribution of the non discrete orbits of a finitely generated group acting linearly on . To do this, we establish new equidistribution…
A non-homogeneous orbit of a diagonal subgroup
François Maucourant
Let G=SL(n,R) with n>5. We construct examples of lattices Gamma of G, subgroup A of the diagonal group and points x in G/Gamma such that the closure of the orbit Ax is not homogene…
Homogeneous asymptotic limits of haar measures of semisimple linear groups and their lattices
F. Maucourant
We show that Haar measures of connected semisimple groups, embedded via a representation into a matrix space, have a homogeneous asymptotic limit when viewed from far away and appr…