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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2408.15785 |
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| _version_ | 1866929483175428096 |
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| author | Kuan, Jeffrey Zhou, Zhengye |
| author_facet | Kuan, Jeffrey Zhou, Zhengye |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_15785 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Asymptotics of dynamic ASEP using duality Kuan, Jeffrey Zhou, Zhengye Probability 60 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. |
| title | Asymptotics of dynamic ASEP using duality |
| topic | Probability 60 |
| url | https://arxiv.org/abs/2408.15785 |