activity
20002025
most citedAutocorrelation of Random Matrix Polynomials

76 citations · 240 across the 25 of their papers we have counts for

collaborators

27 papers

q-bio.OT2025

Thinned COE random matrix models for DNA replication

Huw Day, Nina C. Snaith

This paper details an observation that for more primitive organisms, such as some yeasts, the statistical distribution of the origins of replication sometimes looks remarkably like…

math-ph2024

Unitary -correlations with restricted support in random matrix theory

Patrik Demjan, N. C. Snaith

We consider the -correlation of eigenvalues of random unitary matrices in the alternative form that is not the tidy determinant common in random matrix theory, but rather the ex…

math-ph2024

Moments of characteristic polynomials and their derivatives for and and their application to one-level density in families of elliptic curve -functions

I. A. Cooper, N. C. Snaith

Using the ratios theorems, we calculate the leading order terms in for the following averages of the characteristic polynomial and its derivative: $\left< \left|Λ_A(1 )\right|…

math-ph2024

Moments of the derivative of the characteristic polynomial of unitary matrices

Emilia Alvarez, Brian Conrey, Michael O. Rubinstein +1

Let be the characteristic polynomial of a Haar distributed unitary matrix . It is believed that the distribution of values of model the di…

math-ph2023★ 1 cited

Asymptotics of non-integer moments of the logarithmic derivative of characteristic polynomials over

Emilia Alvarez, Pierre Bousseyroux, Nina C. Snaith

This work computes the asymptotics of the non-integer moments of the logarithmic derivative of characteristic polynomials of matrices from the ensemble. It follows from…

math-ph2019★ 21 cited

Mixed moments of characteristic polynomials of random unitary matrices

Emma C. Bailey, Sandro Bettin, Gordon Blower +4

Following the work of Conrey, Rubinstein and Snaith and Forrester and Witte we examine a mixed moment of the characteristic polynomial and its derivative for matrices from the unit…