Work

On the distribution of eigenvalues of GUE and its minors at fixed index

Year: 2025

Type: article

Abstract: We obtain bounds on the distribution of normalized gaps of eigenvalues of [Formula: see text] GUE matrix in the bulk, that do not lose logarithmic factors of [Formula: see text] in the limit [Formula: see text]. As an application, we obtain fixed index universality results for the GUE minor process, which in turn are useful for establishing limiting results for random hives with GUE boundary data.

Source: Random Matrices Theory and Application

DOI: 10.1142/s2010326325500236

Author: Terence Tao

Institution: University of California, Los Angeles

Language: English

Topic: Random Matrices and Applications

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Science Foundation

Award: Structure theory for measure-preserving systems, additive combinatorics, and correlations of multiplicative functions