Matthew Kwan

collaborators

Showing math.COShow all

3 papers · 1 filter

math.CO2026

Permanents of random matrices over finite fields

Zach Hunter, Matthew Kwan, Lisa Sauermann

Fix a finite field $F_{q}$ and let $A \in F_{q}^{n \times n}$ be a uniformly random $n \times n$ matrix over $F_{q}$ . The asymptotic distribution of the determinant…

math.CO2025

Geometric Littlewood-Offord problems via lattice point counting

Alexandr Grebennikov, Matthew Kwan

Consider nonzero vectors $a_{1}, \dots, a_{n} \in C^{k}$ , independent Rademacher random variables $ξ_{1}, \dots, ξ_{n}$ , and a set $S \subseteq C^{k}$ . What upper bounds…

math.CO2025

Algebraic aspects of the polynomial Littlewood-Offord problem

Zhihan Jin, Matthew Kwan, Lisa Sauermann +1

Consider a degree- $d$ polynomial $f (ξ_{1}, \dots, ξ_{n})$ of independent Rademacher random variables $ξ_{1}, \dots, ξ_{n}$ . To what extent can $f (ξ_{1}, \dots, ξ_{n})$ concentrate on a single point?…