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Universality of cutoff for the Exclusion Process

Hermon, Jonathan et al.
arXiv (All) · Papers
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probability
Under a fairly general condition on the underlying jump rates, we prove that the Exclusion Process with fixed particle density exhibits cutoff at time $t_{mix}\sim \frac{1}{2}{t}_{rel} \log N$, where $N$ is the volume and ${t}_{rel}$ the relaxation time of the single-particle dynamics. Our result co
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