5 papers
Stochastic Models for Replication Origin Spacings in Eukaryotic DNA Replication
Huw Day, N C Snaith
Replication of genetic material is an important process for all living organisms. Origins of replication initiate the copying of DNA at many points on a chromosome, and it is the d…
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…
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|Î_A(1 )\right|…
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…
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…