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 language | English (US) |
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Pages (from-to) | 1871-1902 |
Number of pages | 32 |
Journal | Annals of Probability |
Volume | 24 |
Issue number | 4 |
DOIs | |
State | Published - Oct 1996 |
Externally published | Yes |
Keywords
- Dirichlet form
- Ergodic measure
- Particle systems
- Zero-range process
ASJC Scopus subject areas
- Statistics and Probability
- Statistics, Probability and Uncertainty