Spectral gap for the zero range process with constant rate

Details Spectral gap for the zero range process with constant rate Spectral gap for the zero range process with constant rate

2004-05-10

arxiv.org/abs/math/0405161v3

Annals of Probability 2006, Vol. 34, No. 5, 1645-1664

Mathematics

Probability

Published at http://dx.doi.org/10.1214/009117906000000304 in the Annals of Probability (http://www.imstat.org/aop/) by the Ins

Scientific paper

10.1214/009117906000000304

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.

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