Dec 1, 2025
Bulk universality for sparse complex matrices
Vienna Probability Seminar
Date: December 1, 2025 |
4:00 pm –
5:00 pm
Speaker:
Mohammed Osman, Queen Mary University of London
Location: Central Bldg / O1 / Mondi 2a (I01.O1.008)
Language:
English
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.
