Keivan Mallahi-Karai

collaborators

6 papers

math.CO2026

An infinite family of trees with irreducible characteristic polynomials

Saieed Akbari, Keivan Mallahi-Karai

Consider the tree obtained by attaching a leaf to the third vertex of a path with n-1 vertices. In this note, we prove that the characteristic polynomial of this tree is irreducibl…

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.CO2026

Counting $F_{q}$ -points of orbital varieties in ad-nilpotent ideals of type $A_{n}$

Mohammad Bardestani, Keivan Mallahi-Karai, Samrith Ram +1

Let $b_{n} (F_{q})$ denote the Lie algebra of upper triangular $n \times n$ matrices over the finite field $F_{q}$ , and let $u_{n} (F_{q})$ be the ni…

math.GR2024

Optimal Linear Sofic Approximations Of Countable Groups

Keivan Mallahi-Karai, Maryam Mohammadi Yekta

A countable group G is called k-linear sofic (for some 0 <k \le 1) if finite subsets of G admit "approximate representations" by complex invertible matrices in the normalized rank…

math.DS2024

On an extreme value law for the unipotent flow on $SL_{2} (R) / SL_{2} (Z)$

Maxim Kirsebom, Keivan Mallahi-Karai

We study an extreme value distribution for the unipotent flow on the modular surface $SL_{2} (R) / SL_{2} (Z)$ . Using tools from homogenous dynamics and…

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…