4 papers
Compactifications of horospheric products
Behrang Forghani, Keivan Mallahi-Karai
We define and study a new compactification, called the height compactification of the horospheric product of two infinite trees. We will provide a complete description of this comp…
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…
Some applications of arithmetic groups in cryptography
Delaram Kahrobaei, Keivan Mallahi-Karai
In this paper we will give various examples of exponentially distorted subgroups in linear groups, including some new example of subgroups of for , a…
Distribution of orbits of unipotent groups on S-arithmetic homogeneous spaces
Keivan Mallahi-Karai
We will prove an S-arithmetic version of a theorem of Dani-Margulis on the convergence of ergodic averages of a given bounded continuous function, when the initial point is outside…