Bulk universality for sparse complex matrices

Title: Bulk universality for sparse complex matrices

Abstract : 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 so-called multi-resolvent local laws.

https://www.math.fau.de/stochastik/oberseminar-stochastik/