On the distribution of eigenvalues of GUE and its minors at fixed index
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.
Authors
- Terence Tao (ORCID: https://orcid.org/0000-0002-0140-7641)
Institutions
- University of California, Los Angeles (US)
Publication Details
- Journal
- Random Matrices Theory and Application
- Published
- 2025-07-25
- DOI
- https://doi.org/10.1142/s2010326325500236
- Citations
- 1
- Primary Topic
- Spectral Theory in Mathematical Physics
- Type
- article
- Field-Weighted Citation Impact
- 3.69