Metraipolis › archive › dc_733966ea616f

Mixing time of the lazy and simple random walk on a randomly twisted hypercube — arXiv:2610.21976

Source: arXiv (en)
Original: https://arxiv.org/abs/2610.21976
License (as archived): CC0-1.0
Archived: 2026-10-16T10:29:37.123Z
SHA-256 of the archived text: 174be789ca39954f875f1d6a826b76786d6c8c89964f011dd51b79f2fcc69a85
Stable URL of this page: https://metraipolis.com/documento/dc_733966ea616f

How to cite

Mixing time of the lazy and simple random walk on a randomly twisted hypercube — arXiv:2610.21976 — arXiv (en), https://arxiv.org/abs/2610.21976 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_733966ea616f (Metraipolis archive dc_733966ea616f, sha256 174be789ca39954f875f1d6a826b76786d6c8c89964f011dd51b79f2fcc69a85)

BibTeX

@misc{dc733966ea616f,
  title = {Mixing time of the lazy and simple random walk on a randomly twisted hypercube — arXiv:2610.21976},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2610.21976},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_733966ea616f; sha256 174be789ca39954f875f1d6a826b76786d6c8c89964f011dd51b79f2fcc69a85},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2610.21976. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

We consider a randomly twisted hypercube on $N$ vertices and study a simple or lazy random walk on this graph. We show that for both walks the mixing time is of order $\log N$, and the model does not exhibit cutoff. We also establish that both walks have cover time of order $N\log N$, and we show that the chromatic number of the graph diverges.

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/2610.21976 — 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 2026-10-16T08:50:17.586Z dalla pagina https://arxiv.org/list/math.PR/new (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).