# Universality of cutoff for exclusion with reservoirs

@inproceedings{Salez2022UniversalityOC, title={Universality of cutoff for exclusion with reservoirs}, author={Justin Salez}, year={2022} }

We consider the exclusion process with reservoirs on arbitrary networks. We characterize the spectral gap, mixing time, and mixing window of the process, in terms of certain simple spectral statistics of the underlying network. Among other consequences, we establish a non-conservative analogue of Al-dous’s spectral gap conjecture, and we show that cutoff occurs if and only if the product condition is satisfied. We illustrate this by providing explicit cutoffs on discrete lattices of arbitrary…

## 7 Citations

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We study mixing times for the totally asymmetric simple exclusion process (TASEP) on a circle of length N with k particles. We show that the mixing time is of order N min(k,N−k), and that the cutoff…

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