Spectral gap for the zero range process with constant rate

Ben Morris

doi:10.1214/009117906000000304

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Home > Journals > Ann. Probab. > Volume 34 > Issue 5 > Article

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

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Abstract

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 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. https://doi.org/10.1214/009117906000000304