ASEP via Mallows coloring
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866912006541410304 |
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| author | Borodin, Alexei Bufetov, Alexey |
| author_facet | Borodin, Alexei Bufetov, Alexey |
| contents | In this paper we study the asymptotic behavior of the Asymmetric Simple Exclusion Process (=ASEP) with finitely many particles. It turns out that a certain randomized initial condition is the most amenable to such an analysis. Our main result is the behavior of such an ASEP in the KPZ limit regime. A key technical tool introduced in the paper -- the coloring of ASEP particles with the use of random Mallows permutations -- may be of independent interest. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_16585 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | ASEP via Mallows coloring Borodin, Alexei Bufetov, Alexey Probability Mathematical Physics In this paper we study the asymptotic behavior of the Asymmetric Simple Exclusion Process (=ASEP) with finitely many particles. It turns out that a certain randomized initial condition is the most amenable to such an analysis. Our main result is the behavior of such an ASEP in the KPZ limit regime. A key technical tool introduced in the paper -- the coloring of ASEP particles with the use of random Mallows permutations -- may be of independent interest. |
| title | ASEP via Mallows coloring |
| topic | Probability Mathematical Physics |
| url | https://arxiv.org/abs/2408.16585 |