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arXiv · 2212.09542

A PDE perspective on the Aizenman-Sims-Starr scheme

Hong-Bin Chen
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Abstract

The limit free energy of an enriched mixed $p$-spin spin glass model has been identified with the solution of a Hamilton-Jacobi equation. In this note, we remark that the Aizenman-Sims-Starr scheme yields a subsolution to the equation.

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Hong-Bin Chen. 2022-12-19. A PDE perspective on the Aizenman-Sims-Starr scheme. https://arxiv.org/abs/2212.09542

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