Matthew Kwan

collaborators

3 papers

math.PR2025

Exponential anticoncentration of the permanent

Zach Hunter, Matthew Kwan, Lisa Sauermann

Let $A \in R^{n \times n}$ be a random matrix with independent entries, and suppose that the entries are "uniformly anticoncentrated" in the sense that there is a constant $\…

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?…