The Parisi formula is a Hamilton–Jacobi equation in Wasserstein space

Author:

Mourrat Jean-Christophe

Abstract

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 showthat 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.

Publisher

Canadian Mathematical Society

Subject

General Mathematics

Cited by 11 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Parisi Formula for Balanced Potts Spin Glass;Communications in Mathematical Physics;2024-09-13

2. Infinite-Dimensional Hamilton–Jacobi Equations for Statistical Inference on Sparse Graphs;SIAM Journal on Mathematical Analysis;2024-07-01

3. Free Energy in Spin Glass Models with Conventional Order;Journal of Statistical Physics;2024-04-15

4. On the self-overlap in vector spin glasses;Journal of Mathematical Physics;2024-03-01

5. On Parisi measures of Potts spin glasses with correction;Electronic Communications in Probability;2024-01-01

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