The paper uses partially lifted random duality theory to derive matching ground-state-energy bounds for spherical multipartite pure p-spin models and proves the Subag and Dartois-McKenna formulas agree exactly.
An informal introduction to the Parisi formula
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abstract
This note is an informal presentation of spin glasses and of the Parisi formula. We also discuss some models for which the Parisi formula is not well-understood, and some partial progress that relies upon a connection with partial differential equations.
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Ground state energies of multipartite $p$-spin models -- partially lifted RDT view
The paper uses partially lifted random duality theory to derive matching ground-state-energy bounds for spherical multipartite pure p-spin models and proves the Subag and Dartois-McKenna formulas agree exactly.