Determinantal structure of the overlaps for induced spherical unitary ensemble
Mathematical Physics
2024-08-23 v2 math.MP
Probability
Abstract
In this note, we study the determinantal structure of the -th conditional expectation of the overlap for induced spherical unitary ensemble. We will show the universality for the scaling limits of the -the conditional expectation of the overlap in the three regimes, strongly non-unitary, weakly non-unitary, and the singular origin regimes. As a consequence, we will confirm the universality for the overlap.
Keywords
Cite
@article{arxiv.2312.12690,
title = {Determinantal structure of the overlaps for induced spherical unitary ensemble},
author = {Kohei Noda},
journal= {arXiv preprint arXiv:2312.12690},
year = {2024}
}
Comments
32 pages, 1 figure, revised version