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On the existence of thermodynamics for the random energy model

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Abstract

Derrida's random energy model is considered. Almost sure andL P convergence of the free energy at any inverse temperature β are proven. Rigorous upper and lower bounds to the finite size corrections to the free energy are given.

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Communicated by T. Spencer

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Olivieri, E., Picco, P. On the existence of thermodynamics for the random energy model. Commun.Math. Phys. 96, 125–144 (1984). https://doi.org/10.1007/BF01217351

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  • DOI: https://doi.org/10.1007/BF01217351

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