4 papers · 1 filter
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.…
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…
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…
Concentration of the number of real roots of random polynomials
Ander Aguirre, Hoi H. Nguyen, Jingheng Wang
Many statistics of roots of random polynomials have been studied in the literature, but not much is known on the concentration aspect. In this note we present a systematic study of…