Spectral gap for the zero range process with constant rate

• 成果类型: Article
• 署名作者: Morris, Ben
• 署名单位: University of California System; University of California Davis
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/009117906000000304
• 发表日期: 2006
• 页码: 1645-1664
• 关键词: dynamics

摘要

We solve an open problem concerning the relaxation time (inverse spectral gap) of the zero range process in Z(d)/LZ(d) with constant rate, proving a tight upper bound of 0 ((p + 1)(2)L(2)), where p is the density of particles.