Spectral gap for the zero range process with constant rate

Ben Morris

doi:10.1214/009117906000000304

Spectral gap for the zero range process with constant rate

概率论 2007-05-23 v3 数学物理 math.MP

作者: Ben Morris

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摘要

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.

引用

@article{arxiv.math/0405161,
  title  = {Spectral gap for the zero range process with constant rate},
  author = {Ben Morris},
  journal= {arXiv preprint arXiv:math/0405161},
  year   = {2007}
}

备注

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)

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