Thinned COE random matrix models for DNA replication

Fuente: arXiv
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Autori principali: Day, Huw, Snaith, Nina C.
Natura: Preprint
Pubblicazione: 2025
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author Day, Huw
Snaith, Nina C.
author_facet Day, Huw
Snaith, Nina C.
contents 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 the distribution of eigenvalues from the Circular Orthogonal Ensemble (COE) of random matrices. This does not hold for more complex organisms, but a uniform thinning of the COE eigenvalues (which interpolates between the COE and uncorrelated, Poisson statistics) gives a platform to investigate characteristics of replication origin distribution in other species where data is available.
format Preprint
id arxiv_https___arxiv_org_abs_2510_11748
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Thinned COE random matrix models for DNA replication
Day, Huw
Snaith, Nina C.
Other Quantitative Biology
Mathematical Physics
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 the distribution of eigenvalues from the Circular Orthogonal Ensemble (COE) of random matrices. This does not hold for more complex organisms, but a uniform thinning of the COE eigenvalues (which interpolates between the COE and uncorrelated, Poisson statistics) gives a platform to investigate characteristics of replication origin distribution in other species where data is available.
title Thinned COE random matrix models for DNA replication
topic Other Quantitative Biology
Mathematical Physics
url https://arxiv.org/abs/2510.11748