Journal of Statistical Physics

, Volume 54, Issue 1–2, pp 515–529 | Cite as

Fluctuations in Derrida's random energy and generalized random energy models

  • Antonio Galves
  • Servet Martinez
  • Pierre Picco


The fluctuations of the finite-size corrections to the free energy per site of the random energy model (REM) and the generalized random energy model (GREM) are investigated. Almost sure behavior for the corrections of order (logN)/N is given. We also prove convergence in distribution for the corrections of order 1/N.

Key words

Random energy random variables finite-size corrections Poisson point process 


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Copyright information

© Plenum Publishing Corporation 1989

Authors and Affiliations

  • Antonio Galves
    • 1
    • 2
  • Servet Martinez
    • 1
    • 3
  • Pierre Picco
    • 1
  1. 1.Centre de Physique Théorique (Laboratoire Propre, LP7061)MarseilleFrance
  2. 2.Universidade de São PauloSão PauloBrazil
  3. 3.Universidad de ChileSantiagoChile

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