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Free energy of the spherical mean field model
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  • Published: 03 May 2005

Free energy of the spherical mean field model

  • Michel Talagrand1,2 

Probability Theory and Related Fields volume 134, pages 339–382 (2006)Cite this article

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Abstract

We compute at any temperature the free energy of the multi p-spin spherical model when only terms for p even are considered.

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References

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Author information

Authors and Affiliations

  1. Institut de Mathématiques, Université Paris VI, 4 Place Jussieu, 75230, Paris Cedex 05, France

    Michel Talagrand

  2. Department of Mathematics, Ohio State University, 231 W. 18th Avenue, Columbus, OH, 43214, USA

    Michel Talagrand

Authors
  1. Michel Talagrand
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Additional information

Work partially supported by an NSF grant

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Cite this article

Talagrand, M. Free energy of the spherical mean field model. Probab. Theory Relat. Fields 134, 339–382 (2006). https://doi.org/10.1007/s00440-005-0433-8

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  • Received: 30 May 2004

  • Revised: 01 January 2005

  • Published: 03 May 2005

  • Issue Date: March 2006

  • DOI: https://doi.org/10.1007/s00440-005-0433-8

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Keywords

  • Free Energy
  • Spherical Model
  • Gibbs Measure
  • Independent Copy
  • Replica Symmetry
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