Large deviations for noninteracting infinite-particle systems

M. D. Donsker, Srinivasa Varadhan

Research output: Contribution to journalArticle

Abstract

A large deviation property is established for noninteracting infinite particle systems. Previous large deviation results obtained by the authors involved a single I-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 of I-functions governing the large deviations.

Original languageEnglish (US)
Pages (from-to)1195-1232
Number of pages38
JournalJournal of Statistical Physics
Volume46
Issue number5-6
DOIs
StatePublished - Mar 1987

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Infinite Particle System
Large Deviations
deviation
Invariant Measure
Family

Keywords

  • asymptotics for expectations
  • infinite particle systems
  • invariant measures
  • Large deviations

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Physics and Astronomy(all)
  • Mathematical Physics

Cite this

Large deviations for noninteracting infinite-particle systems. / Donsker, M. D.; Varadhan, Srinivasa.

In: Journal of Statistical Physics, Vol. 46, No. 5-6, 03.1987, p. 1195-1232.

Research output: Contribution to journalArticle

Donsker, M. D. ; Varadhan, Srinivasa. / Large deviations for noninteracting infinite-particle systems. In: Journal of Statistical Physics. 1987 ; Vol. 46, No. 5-6. pp. 1195-1232.
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