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arXiv:2408.15785 [math.PR]AbstractReferencesReviewsResources

Asymptotics of dynamic ASEP using duality

Jeffrey Kuan, Zhengye Zhou

Published 2024-08-28Version 1

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.

Comments: 32 pages; An accessible version of the PDF will eventually be available at https://tailorswiftbot.godaddysites.com/asymptotics-dynamic-asep
Categories: math.PR
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