Work

Determinantal structure of the overlaps for induced spherical unitary ensemble

Year: 2025

Type: article

Abstract: In this paper, we study the determinantal structure of the [Formula: see text]th conditional expectation of the overlap for induced spherical unitary ensemble. We will show the universality for the scaling limits of the [Formula: see text]th conditional expectation of the overlap in the three regimes, strongly non-unitary, weakly non-unitary, and the singular origin regimes.

Source: Random Matrices Theory and Application

DOI: 10.1142/s2010326325500121

Author: Kohei Noda

Institution: Kyushu University

Language: English

Topic: Random Matrices and Applications

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Deutsche Forschungsgemeinschaft, Universität Bielefeld, Japan Society for the Promotion of Science