Determinantal structure of the overlaps for induced spherical unitary ensemble

Abstract

In this note, we study the determinantal structure of the $k$-th conditional expectation of the overlap for induced spherical unitary ensemble. We will show the universality for the scaling limits of the $k$-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.

arXiv comment32 pages, 1 figure, revised version

Cited by in corpus (1)

• Condition numbers for real eigenvalues of real elliptic ensemble: weak non-normality at the edge