Open Access
September 2006 Spectral gap for the zero range process with constant rate
Ben Morris
Ann. Probab. 34(5): 1645-1664 (September 2006). DOI: 10.1214/009117906000000304


We solve an open problem concerning the relaxation time (inverse spectral gap) of the zero range process in Zd/LZd with constant rate, proving a tight upper bound of O((ρ+1)2L2), where ρ is the density of particles.


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Ben Morris. "Spectral gap for the zero range process with constant rate." Ann. Probab. 34 (5) 1645 - 1664, September 2006.


Published: September 2006
First available in Project Euclid: 14 November 2006

zbMATH: 1111.60077
MathSciNet: MR2271475
Digital Object Identifier: 10.1214/009117906000000304

Primary: 60K35
Secondary: 82C22

Keywords: spectral gap , Zero range process

Rights: Copyright © 2006 Institute of Mathematical Statistics

Vol.34 • No. 5 • September 2006
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