Cutoff conjecture for symmetric simple exclusion with open boundaries
Let and let satisfy
Symmetric cutoff conjecture. The lower bound in the symmetric pre-cutoff estimate is sharp, and cutoff occurs.
This conjecture concerns the mixing behavior of the symmetric simple exclusion process with two open boundaries, viewed heuristically as a symmetric exclusion process on a circle. The source gives no resolution of the conjecture.
References
Primary source
Nina Gantert, Evita Nestoridi and Dominik Schmid, “Mixing times for the simple exclusion process with open boundaries”, arXiv:2003.03781 (2022).
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