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Large deviations for lattice systems I. Parametrized independent fields
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  • Published: June 1993

Large deviations for lattice systems I. Parametrized independent fields

  • Timo Seppäläinen1 

Probability Theory and Related Fields volume 96, pages 241–260 (1993)Cite this article

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Summary

We prove large deviation theorems for empirical measures of independent random fields whose distributions depend measurably on an auxiliary parameter. This dependence respects the action of the shift group, and a large deviation principle holds whenever a certain ergodicity condition is satisfied. We also investigate the entropy functions for these processes, especially in relation to the usual relative entropy.

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Authors and Affiliations

  1. Department of Mathematics, The Ohio State University, 231 West 18th Avenue, 43210, Columbus, OH, USA

    Timo Seppäläinen

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  1. Timo Seppäläinen
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Seppäläinen, T. Large deviations for lattice systems I. Parametrized independent fields. Probab. Th. Rel. Fields 96, 241–260 (1993). https://doi.org/10.1007/BF01192135

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  • Received: 21 April 1992

  • Revised: 20 January 1993

  • Issue Date: June 1993

  • DOI: https://doi.org/10.1007/BF01192135

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Mathematics Subject Classification (1991)

  • 60F10
  • 60G60
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