2 papers
math.PR2026
Random free semigroups of affine groups
Richard Aoun, Keivan Mallahi-Karai
We investigate random freeness of semigroups in the solvable non-virtually nilpotent setting. We focus on a correlated affine model, namely semigroups generated by the two componen…
math.PR2024
Recurrence of multidimensional affine recursions in the critical case
Richard Aoun, Sara Brofferio, Marc Peigné
We prove, under different natural hypotheses, that the random multidimensional affine recursion , is recurrent in the critical case. In…