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math.PR2025
On the de Almeida--Thouless Transition Surface in the Multi-Species SK Model with Centered Gaussian External Field
Heejune Kim
We study the phase transition of the Parisi formula for the free energy in the multi-species Sherrington--Kirkpatrick model with a centered Gaussian external field and a positive-s…
math.PR2025
Disorder Chaos in Short-Range, Diluted, and Lévy Spin Glasses
Wei-Kuo Chen, Heejune Kim, Arnab Sen
In a recent breakthrough [arXiv:2301.04112], Chatterjee proved site disorder chaos in the Edwards-Anderson (EA) short-range spin glass model utilizing the Hermite spectral method.…