Kyle Luh

collaborators

2 papers

math.PR2025

Gaps between Singular Values of Sample Covariance Matrices

Nicholas Christoffersen, Kyle Luh, Sean O'Rourke +1

We study the gaps between consecutive singular values of random rectangular matrices. Specifically, if $M$ is an $n \times p$ random matrix with independent and identically distrib…

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…