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Communications in Mathematical Physics

, Volume 96, Issue 1, pp 125–144 | Cite as

On the existence of thermodynamics for the random energy model

  • Enzo Olivieri
  • Pierre Picco
Article

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.

Keywords

Neural Network Free Energy Statistical Physic Complex System Lower Bound 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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Copyright information

© Springer-Verlag 1984

Authors and Affiliations

  • Enzo Olivieri
    • 1
    • 2
  • Pierre Picco
    • 1
  1. 1.Centre de Physique Théorique, C.N.R.S.-LuminyMarseille Cedex 9France
  2. 2.Université de ProvenceFrance

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