Analytic stability and local convergence of translates in S-arithmetic homogeneous dynamics

We present the main result of Richard and Zamojski [14] concerning, in homogeneous dynamics, the general problem of the dynamics of sequences of translates of a certain measure in a space of S-arithmetic lattices. (C) 2019 Academie des sciences. Publie par Elsevier Masson SAS. Tous droits reserves.