Sine-kernel determinant on two large intervals
Mathematical Physics
2020-03-19 v1 Functional Analysis
math.MP
Abstract
We consider the probability of two large gaps (intervals without eigenvalues) in the bulk scaling limit of the Gaussian Unitary Ensemble of random matrices. We determine the multiplicative constant in the asymptotics. We also provide the full explicit asymptotics (up to decreasing terms) for the transition between one and two large gaps.
Cite
@article{arxiv.2003.08136,
title = {Sine-kernel determinant on two large intervals},
author = {Benjamin Fahs and Igor Krasovsky},
journal= {arXiv preprint arXiv:2003.08136},
year = {2020}
}
Comments
63 pages