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arXiv · 2312.12690

Determinantal structure of the overlaps for induced spherical unitary ensemble

Kohei Noda
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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.

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Kohei Noda. 2024-08-22. Determinantal structure of the overlaps for induced spherical unitary ensemble. https://arxiv.org/abs/2312.12690

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