Hamilton-Jacobi equations for mean-field disordered systems
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Publication:2077161
DOI10.5802/ahl.77zbMath1484.82020arXiv1811.01432OpenAlexW3172169999MaRDI QIDQ2077161
Publication date: 24 February 2022
Published in: Annales Henri Lebesgue (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1811.01432
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) Hamilton-Jacobi equations (35F21) PDEs in connection with statistical mechanics (35Q82)
Related Items (7)
Free energy in multi-species mixed \(p\)-spin spherical models ⋮ Free energy upper bound for mean-field vector spin glasses ⋮ Mutual information for the sparse stochastic block model ⋮ 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
Cites Work
- A simple proof of the Poincaré inequality for a large class of probability measures
- Fundamental limits of symmetric low-rank matrix estimation
- Broken replica symmetry bounds in the mean field spin glass model
- The adaptive interpolation method: a simple scheme to prove replica formulas in Bayesian inference
- The Parisi formula
- Superconcentration and Related Topics
- Replica symmetry breaking in mean-field spin glasses through the Hamilton–Jacobi technique
- User’s guide to viscosity solutions of second order partial differential equations
- The Sherrington-Kirkpatrick Model
- Mean Field Models for Spin Glasses
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