2 papers
math.PR2019
Local law and Tracy--Widom limit for sparse stochastic block models
Jong Yun Hwang, Ji Oon Lee, Wooseok Yang
We consider the spectral properties of sparse stochastic block models, where vertices are partitioned into balanced communities. Under an assumption that the intra-communit…
math.PR2018
Local law and Tracy-Widom limit for sparse sample covariance matrices
Jong Yun Hwang, Ji Oon Lee, Kevin Schnelli
We consider spectral properties of sparse sample covariance matrices, which includes biadjacency matrices of the bipartite Erdős-Rényi graph model. We prove a local law for the eig…