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math.PR2023
Spectral Phase Transitions in Non-Linear Wigner Spiked Models
Alice Guionnet, Justin Ko, Florent Krzakala +2
We study the asymptotic behavior of the spectrum of a random matrix where a non-linearity is applied entry-wise to a Wigner matrix perturbed by a rank-one spike with independent an…
math.PR2023
TAP variational principle for the constrained overlap multiple spherical Sherrington-Kirkpatrick model
David Belius, Leon Fröber, Justin Ko
Spin glass models involving multiple replicas with constrained overlaps have been studied in [FPV92; PT07; Pan18a]. For the spherical versions of these models [Ko19; Ko20] showed t…