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arXiv · 2408.15785

Asymptotics of dynamic ASEP using duality

Jeffrey Kuan·Zhengye Zhou
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Abstract

Using a recently developed method for proving asymptotics via orthogonal polynomial duality arXiv:2305.17602, we prove that the dynamic ASEP introduced in arXiv:1701.05239 has asymptotics which are either distributed as the Tracy--Widom \(F_2,\) or are almost surely bounded. Using a different duality, we also provide contour integrals formulas for multi--species ASEP, which generalize results for the single--species ASEP.

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Jeffrey Kuan, Zhengye Zhou. 2024-08-28. Asymptotics of dynamic ASEP using duality. https://arxiv.org/abs/2408.15785

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