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

11 Citations (Scopus)

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 2013

Fingerprint

Tagged Particle
Large Deviation Principle
Law of large numbers
Rate Function
Large Deviations
Non-equilibrium
Nearest Neighbor
Evaluate
Zero
Integrated
Exclusion
Nearest neighbor
Large deviations

Keywords

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

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

Cite this

Large deviations for the current and tagged particle in 1D nearest-neighbor symmetric simple exclusion. / Sethuraman, Sunder; Varadhan, S. R S.

In: Annals of Probability, Vol. 41, No. 3 A, 05.2013, p. 1461-1512.

Research output: Contribution to journalArticle

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