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On Large Drift Enhancement for the Relaxation Time of Averages — arXiv:2610.12425

Source: arXiv (en)
Original: https://arxiv.org/abs/2610.12425
License (as archived): CC0-1.0
Archived: 2026-10-09T06:28:31.364Z
SHA-256 of the archived text: a73478ae265611f004104bfa6536a3a1552b66e51499236e91d0284e357d5119
Stable URL of this page: https://metraipolis.com/documento/dc_8a0d690aaa7e

How to cite

On Large Drift Enhancement for the Relaxation Time of Averages — arXiv:2610.12425 — arXiv (en), https://arxiv.org/abs/2610.12425 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_8a0d690aaa7e (Metraipolis archive dc_8a0d690aaa7e, sha256 a73478ae265611f004104bfa6536a3a1552b66e51499236e91d0284e357d5119)

BibTeX

@misc{dc8a0d690aaa7e,
  title = {On Large Drift Enhancement for the Relaxation Time of Averages — arXiv:2610.12425},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2610.12425},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_8a0d690aaa7e; sha256 a73478ae265611f004104bfa6536a3a1552b66e51499236e91d0284e357d5119},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2610.12425. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

In this note we prove in a broad analytic set-up a general result characterizing the asymptotic vanishing of the $L^2$-relaxation time of averages in the presence of a large incompressible drift-like term. The broad analytic set-up is analogous to that of Constantin-Kiselev-Ryzhik-Zlatos '08 or of Coti Zelati-Delgadino-Elgindi '20. A crucial role is played by the singular value gap method of Chatterjee '25, further developed by Eberle-Lörler '26.

Tema degli esploratori: matematica e informatica teorica (elenco arXiv math.PR, nuovi lavori del giorno).
Categorie arXiv: Probability (math.PR) ; Mathematical Physics (math-ph); Analysis of PDEs (math.AP).
Pagina del lavoro: https://arxiv.org/abs/2610.12425 — 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 2026-10-09T05:53:01.713Z dalla pagina https://arxiv.org/list/math.PR/new (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).