Large deviations for the current and tagged particle in 1D nearest-neighbor symmetric simple exclusion

Sunder Sethuraman, S. R.S. Varadhan

Research output: Contribution to journalArticle

Abstract

Laws of large numbers, starting from certain nonequilibrium measures, have been shown for the integrated current across a bond, and a tagged particle in one-dimensional symmetric nearest-neighbor simple exclusion [Ann. Inst. Henri Poincaré Probab. Stat. 42 (2006) 567-577]. In this article, we prove corresponding large deviation principles and evaluate the rate functions, showing different growth behaviors near and far from their zeroes which connect with results in.

Original languageEnglish (US)
Pages (from-to)1461-1512
Number of pages52
JournalAnnals of Probability
Volume41
Issue number3 A
DOIs
StatePublished - May 1 2013

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Keywords

  • Current
  • Exclusion
  • Large deviations
  • One dimensional
  • Symmetric
  • Tagged particle

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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