Universality of Chaos and Ultrametricity in Mixedp-Spin Models
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Publication:2828465
DOI10.1002/cpa.21617zbMath1351.82034arXiv1410.8123OpenAlexW1937207039MaRDI QIDQ2828465
Wei-Kuo Chen, Antonio Auffinger
Publication date: 26 October 2016
Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1410.8123
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)
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Cites Work
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- Broken replica symmetry bounds in the mean field spin glass model
- The Parisi ultrametricity conjecture
- Chaos in the mixed even-spin models
- The Ghirlanda-Guerra identities for mixed \(p\)-spin model
- The Parisi formula for mixed \(p\)-spin models
- Universality in Sherrington-Kirkpatrick's spin glass model
- The Parisi formula
- Universality in bipartite mean field spin glasses
- General properties of overlap probability distributions in disordered spin systems. Towards Parisi ultrametricity
