Cutoff conjecture for symmetric simple exclusion with open boundaries
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.
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Sources & referencesView supporting material
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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