On the existence of thermodynamics for the random energy model

DOI10.1007/BF01217351zbMath0585.60098MaRDI QIDQ1070679

Enzo Olivieri, Pierre Picco

Publication date: 1984

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

zbMATH Keywords

random energy model

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Phase transitions (general) in equilibrium statistical mechanics (82B26) Stochastic methods applied to problems in equilibrium statistical mechanics (82B31)

Related Items

Fluctuations of the free energy in the REM and the \(p\)-spin SK models, On the averaged dynamics of the random field Curie-Weiss model., A representation of Gibbs measure for the random energy model., Limit theorems for the alloy-type random energy model, Spectral analysis of the quantum random energy model, Complex random energy model: zeros and fluctuations, Microcanonical analysis of the random energy model in a random magnetic field, Finite size corrections in the random energy model and the replica approach, Aging of asymmetric dynamics on the random energy model, LARGE DEVIATIONS AND THE RANDOM ENERGY MODEL, Limit theorems for sums of random exponentials, Variational bounds for the generalized random energy model, Fluctuations of the partition function in the generalized random energy model with external field, A limit theorem for sums of exponentials, Unnamed Item, The spectral gap of the REM under Metropolis dynamics, The Dickman–Goncharov distribution

Cites Work

• On a third-order phase transition
• Random-energy model: An exactly solvable model of disordered systems
• How Often on a Brownian Path Does the Law of Iterated Logarithm Fail?
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