Z. Hunter

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20242026

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math.PR2025

On random matrices with large corank

Zach Hunter, Matthew Kwan, Lisa Sauermann +1

Let $1 \leq k \leq n$ and $M$ be a random $n \times n$ matrix with independent uniformly random ${\pm 1}$ -entries. We show that there exists an absolute constant $c > 0$ such that \[\…

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 $\…