3 papers
math.PR2026
Central limit theorem for real zeros of random Weyl polynomials with general coefficients
Ander Aguirre, Hoi H. Nguyen
For a random polynomial, the number of real zeros is a highly nonlinear function of its coefficients, and its statistical properties have been studied extensively.…
math.PR2025
Real Roots of Random Weyl Polynomials with General Coefficients: Expectation and Variance
Ander Aguirre, Hoi H. Nguyen, Jingheng Wang
In this paper, we investigate the number of real zeros of random Weyl polynomials of degree \(n \to \infty\) with general coefficient distributions. Motivated by the results of arX…
math.PR2025
Eigenvalue gaps of the Laplacian of random graphs
Nicholas Christoffersen, Kyle Luh, Hoi H. Nguyen +1
We show that, with very high probability, the random graph Laplacian has simple spectrum. Our method provides a quantitatively effective estimate of the spectral gaps. Along the wa…