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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2412.11626 |
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| _version_ | 1866929632902643712 |
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| author | Ferrari, Patrik L. Liu, Min |
| author_facet | Ferrari, Patrik L. Liu, Min |
| contents | Backwards geodesics for TASEP were introduced in [Fer18]. We consider flat initial conditions and show that under proper scaling its end-point converges to maximizer argument of the Airy$_2$ process minus a parabola. We generalize its definition to generic non-integrable models including ASEP and speed changed ASEP (call it quasi-geodesics). We numerically verify that its end-point is universal, where the scaling coefficients are analytically computed through the KPZ scaling theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_11626 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quasi-geodesics in integrable and non-integrable exclusion processes Ferrari, Patrik L. Liu, Min Probability Backwards geodesics for TASEP were introduced in [Fer18]. We consider flat initial conditions and show that under proper scaling its end-point converges to maximizer argument of the Airy$_2$ process minus a parabola. We generalize its definition to generic non-integrable models including ASEP and speed changed ASEP (call it quasi-geodesics). We numerically verify that its end-point is universal, where the scaling coefficients are analytically computed through the KPZ scaling theory. |
| title | Quasi-geodesics in integrable and non-integrable exclusion processes |
| topic | Probability |
| url | https://arxiv.org/abs/2412.11626 |