Bulk universality for sparse complex matrices
Vienna Probability Seminar
Date
Monday, December 1, 2025 16:00 - 17:00
Speaker
Mohammed Osman (Queen Mary University of London)
Location
Central Bldg / O1 / Mondi 2a (I01.O1.008)
Series
Seminar/Talk
Tags
mathematical_seminar_ics
Host
Laszlo Erdös & Jan Maas
Contact
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.