On the TAP free energy in the mixed \(p\)-spin models
From MaRDI portal
Publication:1664339
DOI10.1007/s00220-018-3143-7zbMath1397.82012arXiv1709.03468OpenAlexW3100193873MaRDI QIDQ1664339
Wei-Kuo Chen, Dmitriy Panchenko
Publication date: 24 August 2018
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1709.03468
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) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Statistical mechanics of magnetic materials (82D40)
Related Items
TAP approach for multispecies spherical spin glasses II: the free energy of the pure models, Generalized TAP Free Energy, On the concavity of the TAP free energy in the SK model, The free energy of spherical pure \(p\)-spin models: computation from the TAP approach, The TAP free energy for high-dimensional linear regression, Ultrametricity in spin glasses, Local convexity of the TAP free energy and AMP convergence for \(\mathbb{Z}_2\)-synchronization, On the TAP equations via the cavity approach in the generic mixed \(p\)-spin models, The generalized TAP free energy. II, A Morita Type Proof of the Replica-Symmetric Formula for SK, TAP free energy, spin glasses and variational inference, On convergence of the cavity and Bolthausen's TAP iterations to the local magnetization
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Spin glass models from the point of view of spin distributions
- An iterative construction of solutions of the TAP equations for the Sherrington-Kirkpatrick model
- Parisi formula for the ground state energy in the mixed \(p\)-spin model
- Spin glasses and Stein's method
- On the energy landscape of the mixed even \(p\)-spin model
- Broken replica symmetry bounds in the mean field spin glass model
- The Parisi ultrametricity conjecture
- On the structure of quasi-stationary competing particle systems
- The Parisi formula has a unique minimizer
- On properties of Parisi measures
- The Parisi formula for mixed \(p\)-spin models
- Controlled Markov processes and viscosity solutions
- The Parisi formula
- Nonlinear large deviations
- A dynamic programming approach to the Parisi functional
- Approximate Ultrametricity for Random Measures and Applications to Spin Glasses
- On the formal equivalence of the TAP and thermodynamic methods in the SK model
- The Sherrington-Kirkpatrick Model
- FREE ENERGY IN THE GENERALIZED SHERRINGTON–KIRKPATRICK MEAN FIELD MODEL
- Mean Field Models for Spin Glasses
