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Creators/Authors contains: "Nguyen, Hoi H."

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  1. Free, publicly-accessible full text available December 1, 2025
  2. Abstract We give a new proof of a recent resolution [18] by Michelen and Sahasrabudhe of a conjecture of Shepp and Vanderbei [19] that the moduli of roots of Gaussian Kac polynomials of degree $$n$$, centered at $$1$$ and rescaled by $n^2$, should form a Poisson point process. We use this new approach to verify a conjecture from [18] that the Poisson statistics are in fact universal. 
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  3. null (Ed.)
    Abstract We show that a nearly square independent and identically distributed random integral matrix is surjective over the integral lattice with very high probability. This answers a question by Koplewitz [6]. Our result extends to sparse matrices as well as to matrices of dependent entries. 
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