Ben Morris
Published 2004-05-10, updated 2006-11-20Version 3
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.
Comments: 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)
Journal: Annals of Probability 2006, Vol. 34, No. 5, 1645-1664
Relaxation time and topology in 1D $O(N)$ models
Nonequilibrium density fluctuations for the zero range process with colour
Existence of the zero range process and a deposition model with superlinear growth rates
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