Asymptotics of dynamic ASEP using duality
Probability
2024-09-04 v2
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 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.
Cite
@article{arxiv.2408.15785,
title = {Asymptotics of dynamic ASEP using duality},
author = {Jeffrey Kuan and Zhengye Zhou},
journal= {arXiv preprint arXiv:2408.15785},
year = {2024}
}
Comments
37 pages; v2 fixes typesetting issues (math unchanged); an accessible version of the PDF will eventually be available at https://tailorswiftbot.godaddysites.com/asymptotics-dynamic-asep