The Annals of Probability

Spectral gap for zero-range dynamics

C. Landim, S. Sethuraman, and S. Varadhan

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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 $n^d$. We follow the method outlined by Lu and Yau, where a similar spectral gap is proved for Kawasaki dynamics.

Article information

Source
Ann. Probab. Volume 24, Number 4 (1996), 1871-1902.

Dates
First available in Project Euclid: 6 January 2003

Permanent link to this document
https://projecteuclid.org/euclid.aop/1041903209

Digital Object Identifier
doi:10.1214/aop/1041903209

Mathematical Reviews number (MathSciNet)
MR1415232

Zentralblatt MATH identifier
0870.60095

Subjects
Primary: 60K35: Interacting random processes; statistical mechanics type models; percolation theory [See also 82B43, 82C43]
Secondary: 60F05: Central limit and other weak theorems

Keywords
Particle systems ergodic measure zero-range process Dirichlet form

Citation

Landim, C.; Sethuraman, S.; Varadhan, S. Spectral gap for zero-range dynamics. Ann. Probab. 24 (1996), no. 4, 1871--1902. doi:10.1214/aop/1041903209. https://projecteuclid.org/euclid.aop/1041903209


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References

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