Extending the Parisi formula along a Hamilton-Jacobi equation

DOI10.1214/20-EJP432zbMath1439.82019arXiv1910.14482MaRDI QIDQ2184582

Jean-Christophe Mourrat, Dmitriy Panchenko

Publication date: 29 May 2020

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.14482

zbMATH Keywords

Hamilton-Jacobi equationspin glassParisi formula

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Statistical mechanics of magnetic materials (82D40) Hamilton-Jacobi equations (35F21)

Related Items

Fluctuation results for multi-species Sherrington-Kirkpatrick model in the replica symmetric regime, Free energy in multi-species mixed \(p\)-spin spherical models, Nonconvex interactions in mean-field spin glasses, Hamilton-Jacobi equations for inference of matrix tensor products, The Parisi formula is a Hamilton–Jacobi equation in Wasserstein space, Replica symmetry breaking in dense Hebbian neural networks, Ultrametricity in spin glasses, On the self-overlap in vector spin glasses, Free energy upper bound for mean-field vector spin glasses, Free energy of multi-layer generalized linear models, Statistical inference of finite-rank tensors, Self-overlap correction simplifies the Parisi formula for vector spins, Hamilton-Jacobi equations for nonsymmetric matrix inference, Replica symmetry breaking in neural networks: a few steps toward rigorous results

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