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.
Bulk universality for sparse complex matrices
01.12.2025 16:00 - 17:00
Organiser:
M. Beiglböck, N. Berestycki, L. Erdös, J. Maas, F. Toninelli, E. Schertzer
Location:
ISTA, Mondi 2 (I01.01.008), Central Building