Spectral gap for zero-range dynamics

C. Landim, Sunder Sethuraman, S. Varadhan

Research output: Contribution to journalArticle

31 Citations (Scopus)

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
StatePublished - Oct 1996
Externally publishedYes

Fingerprint

Spectral Gap
Dynamic Range
Kawasaki Dynamics
Zero-range Process
Rate Function
Zero
Regular hexahedron
Lower bound
Lower bounds

Keywords

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

ASJC Scopus subject areas

  • Mathematics(all)
  • Statistics and Probability

Cite this

Landim, C., Sethuraman, S., & Varadhan, S. (1996). Spectral gap for zero-range dynamics. Annals of Probability, 24(4), 1871-1902.

Spectral gap for zero-range dynamics. / Landim, C.; Sethuraman, Sunder; Varadhan, S.

In: Annals of Probability, Vol. 24, No. 4, 10.1996, p. 1871-1902.

Research output: Contribution to journalArticle

Landim, C, Sethuraman, S & Varadhan, S 1996, 'Spectral gap for zero-range dynamics', Annals of Probability, vol. 24, no. 4, pp. 1871-1902.
Landim C, Sethuraman S, Varadhan S. Spectral gap for zero-range dynamics. Annals of Probability. 1996 Oct;24(4):1871-1902.
Landim, C. ; Sethuraman, Sunder ; Varadhan, S. / Spectral gap for zero-range dynamics. In: Annals of Probability. 1996 ; Vol. 24, No. 4. pp. 1871-1902.
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