Ben Morris

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20032005

most citedSpectral gap for the zero range process with constant rate

38 citations · 60 across the 4 of their papers we have counts for

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math.PR2004★ 38 cited

Spectral gap for the zero range process with constant rate

Ben Morris

We solve an open problem concerning the relaxation time (inverse spectral gap) of the zero range process in $Z^{d} / L Z^{d}$ with constant rate, proving a tight upper…

math.PR2004★ 22 cited

The mixing time for simple exclusion

Ben Morris

We obtain a tight bound of $O (L^{2} lo g k)$ for the mixing time of the exclusion process in $Z^{d} / L Z^{d}$ with $k \leq 1/2 L^{d}$ particles. Previously the best bound, ba…