Spectral gap for zero-range dynamics

C. Landim, S. Sethuraman, S. Varadhan

Research output: Contribution to journalArticle

31 Scopus citations

Abstract

We give a lower bound on the spectral gap for symmetric zero-range processes. Under some conditions on the rate function, we show that the gap shrinks as n-2, independent of the density, for the dynamics localized on a cube of size nd. We follow the method outlined by Lu and Yau, where a similar spectral gap is proved for Kawasaki dynamics.

Original languageEnglish (US)
Pages (from-to)1871-1902
Number of pages32
JournalAnnals of Probability
Volume24
Issue number4
DOIs
StatePublished - Oct 1996
Externally publishedYes

Keywords

  • Dirichlet form
  • Ergodic measure
  • Particle systems
  • Zero-range process

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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