On the ultrametricity property in random field Ising models
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Publication:5141095
DOI10.1063/5.0001936zbMath1454.82009arXiv1904.10477OpenAlexW3105011475MaRDI QIDQ5141095
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Publication date: 17 December 2020
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1904.10477
Random fields (60G60) 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)
Cites Work
- Ghirlanda-Guerra identities and ultrametricity: an elementary proof in the discrete case
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- Distribution function inequalities for martingales
- Universality of Ghirlanda-Guerra identities and spin distributions in mixed \(p\)-spin models
- On the stability of the quenched state in mean-field spin-glass models
- The Parisi ultrametricity conjecture
- Absence of replica symmetry breaking in the random field Ising model
- A connection between the Ghirlanda-Guerra identities and ultrametricity
- The Ghirlanda-Guerra identities for mixed \(p\)-spin model
- A note on Talagrand's positivity principle
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- General properties of overlap probability distributions in disordered spin systems. Towards Parisi ultrametricity
- The Sherrington-Kirkpatrick Model
- Absence of replica symmetry breaking in disordered FKG-Ising models under uniform field
- No replica symmetry breaking phase in the random field Ginzburg-Landau model
- Mean Field Models for Spin Glasses
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