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Large deviations for Gibbs random fields
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  • Published: March 1988

Large deviations for Gibbs random fields

  • Stefano Olla1 nAff2 

Probability Theory and Related Fields volume 77, pages 343–357 (1988)Cite this article

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Abstract

A large deviation principle for Gibbs random fields on Zd is proven and a corresponding large deviations proof of the Gibbs variational formula is given. A generalization of the Lanford theory of large deviations is also obtained.

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References

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Author notes
  1. Stefano Olla

    Present address: Courant Institute, New York University, 251 Mercer Street, 10012, New York, NY, USA

Authors and Affiliations

  1. Department of Mathematics, Rutgers University, 08903, New Brunswick, NJ, USA

    Stefano Olla

Authors
  1. Stefano Olla
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Additional information

This work was partially supported by NSF-DMR81-14726

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Cite this article

Olla, S. Large deviations for Gibbs random fields. Probab. Th. Rel. Fields 77, 343–357 (1988). https://doi.org/10.1007/BF00319293

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  • Received: 06 June 1986

  • Revised: 20 October 1987

  • Issue Date: March 1988

  • DOI: https://doi.org/10.1007/BF00319293

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Keywords

  • Stochastic Process
  • Probability Theory
  • Statistical Theory
  • Random Field
  • Deviation Principle
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