On properties of the spherical mixed vector \(p\)-spin model
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Publication:2668506
DOI10.1016/j.spa.2022.02.001zbMath1484.60102arXiv2007.06019OpenAlexW4211161445MaRDI QIDQ2668506
Publication date: 7 March 2022
Published in: Stochastic Processes and their Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.06019
Interacting random processes; statistical mechanics type models; percolation theory (60K35) 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)
Cites Work
- The Aizenman-Sims-Starr scheme and Parisi formula for mixed \(p\)-spin spherical models
- Parisi formula, disorder chaos and fluctuation for the ground state energy in the spherical mixed \(p\)-spin models
- Some properties of the phase diagram for mixed \(p\)-spin glasses
- Low temperature asymptotics of spherical mean field spin glasses
- Parisi formula for the ground state energy in the mixed \(p\)-spin model
- Free energy of the spherical mean field model
- Free energy in the Potts spin Glass
- Free energy in the mixed \(p\)-spin models with vector spins
- Thouless-Anderson-Palmer equations for generic \(p\)-spin glasses
- The Parisi formula has a unique minimizer
- On properties of Parisi measures
- Complexity of random smooth functions on the high-dimensional sphere
- On the overlap in the multiple spherical SK models
- Random Matrices and Complexity of Spin Glasses
