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Pseudo-free energies and large deviations for non gibbsian FKG measures
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  • Published: March 1988

Pseudo-free energies and large deviations for non gibbsian FKG measures

  • J. L. Lebowitz1 &
  • R. H. Schonmann1 nAff2 

Probability Theory and Related Fields volume 77, pages 49–64 (1988)Cite this article

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Summary

A large deviation theorem for the invariant measures of translation invariant attractive interacting particle systems on {0, 1{Z d is proven. In this way a pseudo-free energy and pressure is defined. For ergodic systems the large deviations property holds with the usual scaling. The case of non ergodic systems is also discussed. A similar result holds for occupation times. The perturbation by an external field is treated.

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Author information

Author notes
  1. R. H. Schonmann

    Present address: Mathematics Department, University of São Paulo, Caixa Postal 20570, 01000, São Paulo, SP, Brazil

Authors and Affiliations

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

    J. L. Lebowitz & R. H. Schonmann

Authors
  1. J. L. Lebowitz
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  2. R. H. Schonmann
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Additional information

Work partially supported by NSF-DMR81-14726 (USA) and CNPq (Brazil)

Also Department of Physics

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Lebowitz, J.L., Schonmann, R.H. Pseudo-free energies and large deviations for non gibbsian FKG measures. Probab. Th. Rel. Fields 77, 49–64 (1988). https://doi.org/10.1007/BF01848130

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  • Received: 24 April 1986

  • Issue Date: March 1988

  • DOI: https://doi.org/10.1007/BF01848130

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Keywords

  • Stochastic Process
  • Probability Theory
  • Invariant Measure
  • External Field
  • Mathematical Biology
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