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Random walks on wreath products and spectral gaps for coloured interchange processes — arXiv:2608.20613

Source: arXiv (en)
Original: https://arxiv.org/abs/2608.20613
License (as archived): CC0-1.0
Archived: 2026-10-18T10:39:38.199Z
SHA-256 of the archived text: 60dfc3a58044b73fb76950f5987c20e8d973d1375be2d8b0df0394e9f93a19c9
Stable URL of this page: https://metraipolis.com/documento/dc_ea2adedf01f2

How to cite

Random walks on wreath products and spectral gaps for coloured interchange processes — arXiv:2608.20613 — arXiv (en), https://arxiv.org/abs/2608.20613 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_ea2adedf01f2 (Metraipolis archive dc_ea2adedf01f2, sha256 60dfc3a58044b73fb76950f5987c20e8d973d1375be2d8b0df0394e9f93a19c9)

BibTeX

@misc{dcea2adedf01f2,
  title = {Random walks on wreath products and spectral gaps for coloured interchange processes — arXiv:2608.20613},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2608.20613},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_ea2adedf01f2; sha256 60dfc3a58044b73fb76950f5987c20e8d973d1375be2d8b0df0394e9f93a19c9},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2608.20613. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

We introduce group-valued coloured interchange processes, a class of continuous-time random walks on wreath products generated by transpositions and arbitrary symmetric base-group transitions. We give a complete representation-theoretic characterisation of their spectral gaps by decomposing the associated quasi-regular representation and determining precisely which irreducible representations are required. For abelian base groups, we realise these representations on multislices and identify their Laplacians with discrete Schrödinger operators. We then classify the minimal families of irreducible representations that determine the spectral gap for every choice of transition rates.

Tema degli esploratori: matematica e informatica teorica (retro-catalogo arXiv: annunci del 2026-08-24 in math.PR).
Categorie arXiv: Probability (math.PR) ; Group Theory (math.GR); Representation Theory (math.RT).
Pagina del lavoro: https://arxiv.org/abs/2608.20613 — 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 2026-10-18T10:38:26.398Z dalla pagina https://arxiv.org/catchup/math.PR/2026-08-24?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).