Spectral gap for the zero range process with constant rate
Abstract
We solve an open problem concerning the relaxation time (inverse spectral gap) of the zero range process in $\mathbf {Z}^d/L\mathbf {Z}^d$ with constant rate, proving a tight upper bound of $O((\rho +1)^2L^2)$, where $\rho$ is the density of particles.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 May 2004
 DOI:
 10.48550/arXiv.math/0405161
 arXiv:
 arXiv:math/0405161
 Bibcode:
 2004math......5161M
 Keywords:

 Mathematics  Probability;
 Mathematics  Mathematical Physics;
 Mathematical Physics;
 60K35 (Primary) 82C22 (Secondary)
 EPrint:
 Published at http://dx.doi.org/10.1214/009117906000000304 in the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)