Keivan Mallahi-Karai

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20162026

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math.GR2024

Spectral Independence

Alireza S Golsefidy, Keivan Mallahi-Karai, Amir Mohammadi

We prove the spectral gap property for random walks on the product of two non-locally isomorphic analytic real or p-adic compact groups with simple Lie algebras, under the necessar…

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

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 $S L_{n} (Z [x])$ for $n \geq 3$ , a…