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math.PR2026
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…
math.PR2026
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…