Random-energy model: An exactly solvable model of disordered systems

By Bernard Derrida. 1981

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Citations in the corpus

Measuring the energy landscape roughness and the transition state location of biomolecules using single molecule mechanical unfolding experiments (2006, methodology): “1, was derived in an elegant paper by Zwanzig [9] and was also obtained in [10] by analyzing the dynamics of Derrida’s random energy model [11].”
Extreme value statistics of correlated random variables: A pedagogical review (2019, methodology): “[74] Y.V. Fyodorov, P. Le Doussal, A. Rosso, Statistical mechanics of logarithmic REM: duality, freezing and extreme value statistics of 1/f noises generated by Gaussian free fields, J. Stat.”
The Thermodynamic Limit in Mean Field Spin Glass Models (2002, background): “The main argument is based on a smooth interpolation between a large system, made of N spin sites, and two similar but independent subsystems, made of N1 and N2 sites, respectively, with N1 +N2 = N .”
Critical phenomena in complex networks (2007, background): “(100) is quite similar to the lower bound for the ground state energy of the random energy model introduced by Derrida (1981).”
The evolvability of artificial neural net-works for robot control (2002, background): “As K increases from the unimodal K = 0 landscape, the ruggedness of the landscape increases, up to the maximally rugged random K = N−1 landscape, corresponding to the random energy spin-glass model (Derrida, 1981).”
The Ubiquitous Ewens Sampling Formula (2016, background): “The Poisson–Dirichlet(α,0) distribution also arises in the low-temperature asymptotics of Derrida’s random energy model; see [25, 26] for further details.”
Freezing and Decorated Poisson Point Processes (2014, background): “The first random energy model considered by physicists is a collection of uncorrelated Gaussian random variables introduced by Derrida in [22].”