The Parisi formula is a Hamilton–Jacobi equation in Wasserstein space
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Publication:5080867
DOI10.4153/S0008414X21000031zbMath1491.82012arXiv1906.08471MaRDI QIDQ5080867
Publication date: 31 May 2022
Published in: Canadian Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1906.08471
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)
Related Items (4)
On the self-overlap in vector spin glasses ⋮ 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
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- Optimal transport and large number of particles
- Hamilton-Jacobi equations in the Wasserstein space
- Free energy of the spherical mean field model
- A comparison principle for Hamilton-Jacobi equations related to controlled gradient flows in infinite dimensions
- Hamilton-Jacobi equations in infinite dimensions. I: Uniqueness of viscosity solutions
- Hamilton-Jacobi equations in infinite dimensions. II: Existence of viscosity solutions
- The Hamilton-Jacobi equation. A global approach
- Hamilton-Jacobi equations in infinite dimensions. III
- Broken replica symmetry bounds in the mean field spin glass model
- Nonconvex interactions in mean-field spin glasses
- Extending the Parisi formula along a Hamilton-Jacobi equation
- On a class of first order Hamilton-Jacobi equations in metric spaces
- The Parisi formula
- Hamilton-Jacobi equations for finite-rank matrix inference
- A Differential Game with a Blind Player
- Replica symmetry breaking in mean-field spin glasses through the Hamilton–Jacobi technique
- DETERMINISTIC DIFFERENTIAL GAMES UNDER PROBABILITY KNOWLEDGE OF INITIAL CONDITION
- On proof and progress in mathematics
- The Sherrington-Kirkpatrick Model
- Mean Field Models for Spin Glasses
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