Fluctuations of the partition function in the generalized random energy model with external field

DOI10.1063/1.2962982zbMath1159.81307arXiv0805.1478OpenAlexW1603709864MaRDI QIDQ3624662

Anton Bovier, Anton Klimovsky

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/0805.1478

Mathematics Subject Classification ID

Gaussian processes (60G15) Other physical applications of random processes (60K40) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Limit theorems in probability theory (60F99)

Related Items (6)

On the energy landscape of the mixed even \(p\)-spin model ⋮ Generalized random energy models in a transversal magnetic field: free energy and phase diagrams ⋮ Microcanonical analysis of the random energy model in a random magnetic field ⋮ The Free Energy of the GREM with Random Magnetic Field ⋮ 1-stable fluctuations in branching Brownian motion at critical temperature. I: The derivative martingale ⋮ The de Almeida-Thouless line in hierarchical quantum spin glasses

Cites Work

• On a third-order phase transition
• On the existence of thermodynamics for the random energy model
• Banach Lie-Poisson spaces and reduction
• Correlation decay in certain soft billiards
• Derrida's generalised random energy models. I: Models with finitely many hierarchies
• Derrida's generalized random energy models. II: Models with continuous hierarchies
• A mathematical reformulation of Derrida's REM and GREM
• Fluctuations of the free energy in the REM and the \(p\)-spin SK models
• Limit theorems for sums of random exponentials
• The Parisi formula
• LARGE DEVIATIONS AND THE RANDOM ENERGY MODEL

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