58 citations · 111 across the 11 of their papers we have counts for
13 papers
Quantitative results for banded Toeplitz matrices subject to random and deterministic perturbations
Sean O'Rourke, Philip Matchett Wood
We consider the eigenvalues of a fixed, non-normal matrix subject to a small additive perturbation. In particular, we consider the case when the fixed matrix is a banded Toeplitz m…
Outliers in the spectrum for products of independent random matrices
Natalie Coston, Sean O'Rourke, Philip Matchett Wood
For fixed positive integers m, we consider the product of m independent n by n random matrices with iid entries as in the limit as n tends to infinity. Under suitable assumptions o…
Limiting empirical spectral distribution for the non-backtracking matrix of an Erdős-Rényi random graph
Ke Wang, Philip Matchett Wood
In this note, we give a precise description of the limiting empirical spectral distribution (ESD) for the non-backtracking matrices for an Erdős-Rényi graph assuming te…
Irreducibility of Random Polynomials
Christian Borst, Evan Boyd, Claire Brekken +3
We study the probability that a random polynomial with integer coefficients is reducible when factored over the rational numbers. Using computer-generated data, we investigate a nu…
Nonabelian Cohen-Lenstra Moments
Melanie Matchett Wood, Philip Matchett Wood
In this paper we give a conjecture for the average number of unramified -extensions of a quadratic field for any finite group . The Cohen-Lenstra heuristics are the specializ…
Low-degree factors of random polynomials
Sean O'Rourke, Philip Matchett Wood
Motivated by the question of whether a random polynomial with integer coefficients is likely to be irreducible, we study the probability that a monic polynomial with integer coeffi…