A. Golsefidy

collaborators

3 papers

math.GR2020

Locally Random Groups

Keivan Mallahi-Karai, Amir Mohammadi, Alireza Salehi Golsefidy

In this work, we will introduce and study the notion of local randomness for compact metric groups. We prove a mixing inequality as well as a product result for locally random grou…

math.GR2018

Diameter of homogeneous spaces: an effective account

Amir Mohammadi, Alireza Salehi Golsefidy, François Thilmany

In this paper we prove explicit estimates for the size of small lifts of points in homogeneous spaces. Our estimates are polynomially effective in the volume of the space and the i…

math.GR2018

Inducing Super-Approximation

Alireza Salehi Golsefidy, Xin Zhang

Let $Γ_{2} \subseteq Γ_{1}$ be finitely generated subgroups of $GL_{n_{0}} (Z [1/ q_{0}])$ . For $i = 1$ or $2$ , let $G_{i}$ be the Zariski-closure of $Γ_{i}$ in $({\rm GL}_{n…