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Large deviations for noninteracting infinite-particle systems

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Abstract

A large deviation property is established for noninteracting infinite particle systems. Previous large deviation results obtained by the authors involved a singleI-function because the cases treated always involved a unique invariant measure for the process. In the context of this paper there is an infinite family of invariant measures and a corresponding infinite family ofI-functions governing the large deviations.

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Authors and Affiliations

  1. Courant Institute of Mathematical Sciences, New York University, New York, New York

    M. D. Donsker & S. R. S. Varadhan

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  1. M. D. Donsker
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  2. S. R. S. Varadhan
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Donsker, M.D., Varadhan, S.R.S. Large deviations for noninteracting infinite-particle systems. J Stat Phys 46, 1195–1232 (1987). https://doi.org/10.1007/BF01011162

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  • DOI: https://doi.org/10.1007/BF01011162

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