Open Access
October 1996 Spectral gap for zero-range dynamics
C. Landim, S. Sethuraman, S. Varadhan
Ann. Probab. 24(4): 1871-1902 (October 1996). DOI: 10.1214/aop/1041903209


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.


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C. Landim. S. Sethuraman. S. Varadhan. "Spectral gap for zero-range dynamics." Ann. Probab. 24 (4) 1871 - 1902, October 1996.


Published: October 1996
First available in Project Euclid: 6 January 2003

zbMATH: 0870.60095
MathSciNet: MR1415232
Digital Object Identifier: 10.1214/aop/1041903209

Primary: 60K35
Secondary: 60F05

Keywords: Dirichlet form , ergodic measure , Particle systems , Zero-range process

Rights: Copyright © 1996 Institute of Mathematical Statistics

Vol.24 • No. 4 • October 1996
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