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.
Hamilton-Jacobi equations for inference of matrix tensor products
Extending the Parisi formula along a Hamilton-Jacobi equation
Hamilton-Jacobi equations for nonsymmetric matrix inference
![QR code for arXiv:1906.08471 [math.PR]](http://oss.arxitics.com/images/favicon.svg)