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math.PR2023
Spectral Properties and Weak Detection in Stochastic Block Models
Yoochan Han, Ji Oon Lee, Wooseok Yang
We consider the spectral properties of balanced stochastic block models of which the average degree grows slower than the number of nodes (sparse regime) or proportional to it (den…
math.PR2023
Fluctuations of the free energy of the spherical Sherrington-Kirkpatrick model with sparse interaction
Haram Kim, Ji Oon Lee
We consider the spherical Sherrington-Kirkpatrick model of spin glass with sparse interaction, where the interactions between most of the pairs of the spin variables are possibly z…