3 papers
math.DS2024
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…
math.DS2007
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…
math.RT2005
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…