Limit profiles of ASEP
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917148750774272 |
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| author | Bernal, David A. Henriquez Nejjar, Peter |
| author_facet | Bernal, David A. Henriquez Nejjar, Peter |
| contents | We study the asymmetric simple exclusion process (ASEP) on a segment $\{1,\ldots,b_N\}$ and are interested in its total variation distance to equilibrium when started from an initial configuration $ξ^{N}$. We provide a general result which gives the cutoff window and profile whenever a KPZ-type limit theorem is available for an extension of $ξ^{N}$ to $\mathbb{Z}$. We apply this result to obtain the cutoff window and profile of ASEP on the segment with flat, half-flat and step initial data. Our arguments are entirely probabilistic and make no use of Hecke algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_14584 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Limit profiles of ASEP Bernal, David A. Henriquez Nejjar, Peter Probability We study the asymmetric simple exclusion process (ASEP) on a segment $\{1,\ldots,b_N\}$ and are interested in its total variation distance to equilibrium when started from an initial configuration $ξ^{N}$. We provide a general result which gives the cutoff window and profile whenever a KPZ-type limit theorem is available for an extension of $ξ^{N}$ to $\mathbb{Z}$. We apply this result to obtain the cutoff window and profile of ASEP on the segment with flat, half-flat and step initial data. Our arguments are entirely probabilistic and make no use of Hecke algebras. |
| title | Limit profiles of ASEP |
| topic | Probability |
| url | https://arxiv.org/abs/2512.14584 |