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Microscopic sorting in a multispecies exclusion process — arXiv:2610.08135

Source: arXiv (en)
Original: https://arxiv.org/abs/2610.08135
License (as archived): CC0-1.0
Archived: 2026-10-07T11:51:01.416Z
SHA-256 of the archived text: 80ee90c31ed76e8f524e62ab3accf59ceacf62c579297436c94c65b5c2b393c5
Stable URL of this page: https://metraipolis.com/documento/dc_9bc8bdc8cdbe

How to cite

Microscopic sorting in a multispecies exclusion process — arXiv:2610.08135 — arXiv (en), https://arxiv.org/abs/2610.08135 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_9bc8bdc8cdbe (Metraipolis archive dc_9bc8bdc8cdbe, sha256 80ee90c31ed76e8f524e62ab3accf59ceacf62c579297436c94c65b5c2b393c5)

BibTeX

@misc{dc9bc8bdc8cdbe,
  title = {Microscopic sorting in a multispecies exclusion process — arXiv:2610.08135},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2610.08135},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_9bc8bdc8cdbe; sha256 80ee90c31ed76e8f524e62ab3accf59ceacf62c579297436c94c65b5c2b393c5},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2610.08135. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

We study a one-dimensional multispecies TASEP model with each particle type having an associated speed parameter and faster particles overtaking slower ones with the rate being the positive part of their speed difference. After expressing the sorting time of a finite system given a reverse-speed initial condition as the maximum of sorting times for all different fast-slow cuts, we prove that forbidding fast-fast and slow-slow overtakes does not alter the law of the sorting time. This allows for an LPP formulation and an analytic expression of the sorting time.

Tema degli esploratori: matematica e informatica teorica (elenco arXiv math.PR, nuovi lavori del giorno).
Categorie arXiv: Probability (math.PR).
Pagina del lavoro: https://arxiv.org/abs/2610.08135 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-10-07T11:21:39.631Z dalla pagina https://arxiv.org/list/math.PR/new (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).