Sean O'Rourke

A note on the Marchenko-Pastur law for a class of random matrices with dependent entries

We consider a class of real random matrices with dependent entries and show that the limiting empirical spectral distribution is given by the Marchenko-Pastur law. Additionally, we establish a rate of convergence of the expected empirical spectral distribution.

Universality of local eigenvalue statistics in random matrices with external source

Consider a random matrix of the form

Eigenvectors of random matrices

W_n = M_n + D_n

On a Conjecture of Godsil Concerning Controllable Random Graphs

, where

Phylogenetics support an ancient common origin of two scientific icons: Devils Hole and Devils Hole pupfish.

M_n

Anthropogenic habitat alteration leads to rapid loss of adaptive variation and restoration potential in wild salmon populations

is a Wigner matrix and

Genome Report: Identification and Validation of Antigenic Proteins from Pajaroellobacter abortibovis Using De Novo Genome Sequence Assembly and Reverse Vaccinology

D_n

Fluctuations of Matrix Entries of Regular Functions of Sample Covariance Random Matrices

is a real deterministic diagonal matrix (

Whole-genome sequencing and concordance between antimicrobial susceptibility genotypes and phenotypes of bacterial isolates associated with bovine respiratory disease

D_n

Flow regulation associated with decreased genetic health of a river-breeding frog species

is commonly referred to as an external source in the mathematical physics literature). We study the universality of the local eigenvalue statistics of