Spectral gap for zero-range dynamics
Landim, C. ; Sethuraman, S. ; Varadhan, S.
Ann. Probab., Tome 24 (1996) no. 2, p. 1871-1902 / Harvested from Project Euclid
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We give a lower bound on the spectral gap for symmetric zero-range processes. Under some conditions on the rate function, we show that the gap shrinks as $n^{-2}$, independent of the density, for the dynamics localized on a cube of size $n^d$. We follow the method outlined by Lu and Yau, where a similar spectral gap is proved for Kawasaki dynamics.
Publié le : 1996-10-14
Classification:  Particle systems,  ergodic measure,  zero-range process,  Dirichlet form,  60K35,  60F05 
@article{1041903209,
     author = {Landim, C. and Sethuraman, S. and Varadhan, S.},
     title = {Spectral gap for zero-range dynamics},
     journal = {Ann. Probab.},
     volume = {24},
     number = {2},
     year = {1996},
     pages = { 1871-1902},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1041903209}
}

Landim, C.; Sethuraman, S.; Varadhan, S. Spectral gap for zero-range dynamics. Ann. Probab., Tome 24 (1996) no. 2, pp.  1871-1902. http://gdmltest.u-ga.fr/item/1041903209/