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Bounds for diluted mean-fields spin glass models
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  • Published: 03 March 2004

Bounds for diluted mean-fields spin glass models

  • Dmitry Panchenko1 &
  • Michel Talagrand2,3 

Probability Theory and Related Fields volume 130, pages 319–336 (2004)Cite this article

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Abstract.

In an important recent paper, [2], S. Franz and M. Leone prove rigorous lower bounds for the free energy of the diluted p-spin model and the K-sat model at any temperature. We show that the results for these two models are consequences of a single general principle. Our calculations are significantly simpler than those of [2], even in the replica-symmetric case.

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References

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Author information

Authors and Affiliations

  1. Department of Mathematics, Massachusetts Institute of Technology, 77 Massachusetts Ave, Cambridge, MA, 02139, USA

    Dmitry Panchenko

  2. Equipe d’Analyse de l’Institut Mathématique, 4 place Jussieu, 75230, PARIS, Cedex 05

    Michel Talagrand

  3. Department of Mathematics, The Ohio-State university, OH, 43210, Columbus, USA

    Michel Talagrand

Authors
  1. Dmitry Panchenko
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  2. Michel Talagrand
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Corresponding author

Correspondence to Dmitry Panchenko.

Additional information

Supported by NSF grant

Revised version: 30 December 2003

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Cite this article

Panchenko, D., Talagrand, M. Bounds for diluted mean-fields spin glass models. Probab. Theory Relat. Fields 130, 319–336 (2004). https://doi.org/10.1007/s00440-004-0342-2

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  • Received: 06 September 2003

  • Published: 03 March 2004

  • Issue Date: November 2004

  • DOI: https://doi.org/10.1007/s00440-004-0342-2

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Keywords

  • Spin glasses
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