On concentration properties of disordered Hamiltonians

DOI10.1090/proc/13864zbMath1427.60195arXiv1706.08337OpenAlexW2963679317WikidataQ114094232 ScholiaQ114094232MaRDI QIDQ3132809

Antonio Auffinger, Wei-Kuo Chen

Publication date: 30 January 2018

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.08337

Mathematics Subject Classification ID

Gaussian processes (60G15) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44)

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Generalized TAP Free Energy, Ultrametricity in spin glasses, Localization in Gaussian disordered systems at low temperature, On the ultrametricity property in random field Ising models

Cites Work

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• Some examples of quenched self-averaging in models with Gaussian disorder
• The thermodynamic limit in mean field spin glass models
• Absence of replica symmetry breaking in the random field Ising model
• The Ghirlanda-Guerra identities for mixed \(p\)-spin model
• The Parisi formula
• Universality of Chaos and Ultrametricity in Mixedp-Spin Models
• General properties of overlap probability distributions in disordered spin systems. Towards Parisi ultrametricity
• The Sherrington-Kirkpatrick Model
• Mean Field Models for Spin Glasses