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math.PR2025
Balanced multi-species spin glasses
Erik Bates, Youngtak Sohn
We identify a special class of multi-species spin glass models: ones in which the species proportions serve to ''balance'' out the interaction strengths. For this class, we prove a…
math.PR2023★ 2 cited
Parisi formula for balanced Potts spin glass
Erik Bates, Youngtak Sohn
The Potts spin glass is a generalization of the Sherrington--Kirkpatrick (SK) model that allows for spins to take more than two values. Based on a novel synchronization mechanism,…