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The Parisi 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… Click to show full abstract
The Parisi 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.
Keywords:
parisi formula;
wasserstein space;
equation wasserstein;
jacobi equation;
hamilton jacobi
Journal Title: Canadian Journal of Mathematics
Year Published: 2021
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Journal Title: Canadian Journal of Mathematics
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!