1. Dec 2025
Bulk universality for sparse complex matrices
Vienna Probability Seminar
Datum: 1. December 2025 |
16:00 –
17:00
Sprecher:
Mohammed Osman, Queen Mary University of London
Veranstaltungsort: Central Bldg / O1 / Mondi 2a (I01.O1.008)
Sprache:
Englisch
We consider large random matrices with independent complex entries whose moments decay slowly in the dimension. In particular, this model contains sparse matrices whose entries are the product of a Bernoulli random variable and an independent complex random variable. We show that the local eigenvalue statistics in the bulk are universal, based on a multi-resolvent local law.