A tomography of the GREM: Beyond the REM conjecture

DOI10.1007/s00220-005-1517-0zbMath1104.82027arXivcond-mat/0504363OpenAlexW2026061635WikidataQ123357218 ScholiaQ123357218MaRDI QIDQ863122

Anton Bovier, I. A. Kurkova

Publication date: 25 January 2007

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/0504363

zbMATH Keywords

Gaussian processspin glassesPoisson point processgeneralised random energy model

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44)

Related Items

On the energy landscape of the mixed even \(p\)-spin model, Local energy statistics in disordered systems: a proof of the local REM conjecture, Local energy statistics in spin glasses, Universality of the REM for dynamics of mean-field spin glasses, A branching random walk seen from the tip, Proof of the local REM conjecture for number partitioning. II. Growing energy scales, The structure of extreme level sets in branching Brownian motion

Cites Work

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• An introduction to the theory of point processes
• Derrida's generalised random energy models. I: Models with finitely many hierarchies
• Fluctuations of the free energy in the REM and the \(p\)-spin SK models
• Random-energy model: An exactly solvable model of disordered systems
• Proof of the local REM conjecture for number partitioning. II. Growing energy scales