5 papers · 1 filter
Linear Spectral Statistics for Entrywise-Transformed Spiked Wigner Matrices under Shifted Profile Admissibility
Tsz-Kin Chan, Ji Oon Lee
We prove a derivative-free analytic linear spectral statistics theorem for entrywise-transformed rank-one spiked Wigner matrices with a general microscopic noise law. The transform…
Universality of the fluctuations of the free energy in generalized Sherrington-Kirkpatrick models and the log likelihood ratio in spiked Wigner models
Hyunsuk Choo, Yoochan Han, Ji Oon Lee
We consider the fluctuations of the free energy in generalized Sherrington-Kirkpatrick models and the log likelihood ratio of spiked Wigner models in the high temperature/subcritic…
Local laws and spectral properties of deformed sparse random matrices
Ji Oon Lee, Inyoung Yeo
We consider deformed sparse random matrices of the form , where is a real symmetric sparse random matrix, is a random or deterministic, real, diagonal matrix who…
Fluctuations of the largest eigenvalues of transformed spiked Wigner matrices
Aro Lee, Ji Oon Lee
We consider a spiked random matrix model obtained by applying a function entrywise to a signal-plus-noise symmetric data matrix. We prove that the largest eigenvalue of this model,…
Fluctuations of the free energy of the spherical Sherrington-Kirkpatrick model with heavy-tailed interaction
Taegyun Kim, Ji Oon Lee
We consider the 2-spin spherical Sherrington--Kirkpatrick model without external magnetic field where the interactions between the spins are given as random variables with heavy-ta…