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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…
math.PR2018
Ferromagnetic to paramagnetic transition in spherical spin glass
Jinho Baik, Ji Oon Lee, Hao Wu
We consider the spherical spin glass model defined by a combination of the pure 2-spin spherical Sherrington-Kirkpatrick Hamiltonian and the ferromagnetic Curie-Weiss Hamiltonian.…