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math-ph2021★ 16 cited
Crisanti-Sommers formula and simultaneous symmetry breaking in multi-species spherical spin glasses
Erik Bates, Youngtak Sohn
There is a rich history of expressing the limiting free energy of mean-field spin glasses as a variational formula over probability measures on , where the measure represent…
math.PR2021★ 24 cited
Free energy in multi-species mixed -spin spherical models
Erik Bates, Youngtak Sohn
We prove a Parisi formula for the limiting free energy of multi-species spherical spin glasses with mixed -spin interactions. The upper bound involves a Guerra-style interpolati…