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PreprintCC BY 4.0arXiv

On Large Drift Enhancement for the Relaxation Time of Averages

  • Alain-Sol Sznitman
  • Klaus Widmayer
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Abstract

In this note we prove in a broad analytic set-up a general result characterizing the asymptotic vanishing of the L2-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.

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Cite

BibTeXRIS
BibTeX
@misc{sznitman2026large,
  title = {{On Large Drift Enhancement for the Relaxation Time of Averages}},
  author = {Alain-Sol Sznitman and Klaus Widmayer},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.12425},
  eprint = {2610.12425},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.12425},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - On Large Drift Enhancement for the Relaxation Time of Averages
AU  - Alain-Sol Sznitman
AU  - Klaus Widmayer
PY  - 2026
DA  - 2026/10/08
PB  - arXiv
DO  - 10.48550/arxiv.2610.12425
UR  - https://arxiv.org/abs/2610.12425
AB  - 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.
ER  -