A remark on the infinite-volume Gibbs measures of spin glasses
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Publication:3624664
DOI10.1063/1.2966281zbMath1159.81300arXiv0809.0683OpenAlexW2068297901MaRDI QIDQ3624664
Publication date: 30 April 2009
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0809.0683
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Other physical applications of random processes (60K40) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44)
Related Items (7)
Small perturbations of a spin glass system ⋮ Shattering versus metastability in spin glasses ⋮ Notes on the polynomial identities in random overlap structures ⋮ A unified stability property in spin glasses ⋮ Approximate Ultrametricity for Random Measures and Applications to Spin Glasses ⋮ Random overlap structures: properties and applications to SPIN glasses ⋮ Exchangeable random measures
Cites Work
- Some rigorous results on the Sherrington-Kirkpatrick spin glass model.
- Spin glass computations and Ruelle's probability cascades
- Competing particle systems and the Ghirlanda-Guerra identities
- On Ruelle's probability cascades and an abstract cavity method
- On the stability of the quenched state in mean-field spin-glass models
- A mathematical reformulation of Derrida's REM and GREM
- On the distribution of the overlaps at given disorder
- Characterization of invariant measures at the leading edge for competing particle systems
- Spin-glass stochastic stability: a rigorous proof
- General properties of overlap probability distributions in disordered spin systems. Towards Parisi ultrametricity
- Quadratic replica coupling in the Sherrington–Kirkpatrick mean field spin glass model
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