Recognition: unknown
Parisi's formula is a Hamilton-Jacobi equation in Wasserstein space
classification
🧮 math.PR
cond-mat.dis-nn
keywords
equationformulahamilton-jacobiparisispacewassersteindescriptionenergy
read the original abstract
Parisi's formula is a self-contained description of the infinite-volume limit of the free energy of mean-field spin glass models. We show that this quantity can be recast as the solution of a Hamilton-Jacobi equation in the Wasserstein space of probability measures on the positive half-line.
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