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Spectral gap for the zero range process with constant rate

Ben Morris
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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 $O((ρ+1)^2L^2)$, where $ρ$ is the density of particles.

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Ben Morris. 2006-11-20. Spectral gap for the zero range process with constant rate. https://doi.org/10.1214/009117906000000304

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