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Small-time Wasserstein action for KPZ and $Φ^4_3$ — arXiv:2610.38785

Source: arXiv (en)
Original: https://arxiv.org/abs/2610.38785
License (as archived): CC0-1.0
Archived: 2026-11-01T02:34:12.769Z
SHA-256 of the archived text: f4abbd8de702ea746f4a3d9eb164d36eaa0664ae8a0b0c168bf6648ed4bfe1ea
Stable URL of this page: https://metraipolis.com/documento/dc_aaa708a3f3fe

How to cite

Small-time Wasserstein action for KPZ and $Φ^4_3$ — arXiv:2610.38785 — arXiv (en), https://arxiv.org/abs/2610.38785 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_aaa708a3f3fe (Metraipolis archive dc_aaa708a3f3fe, sha256 f4abbd8de702ea746f4a3d9eb164d36eaa0664ae8a0b0c168bf6648ed4bfe1ea)

BibTeX

@misc{dcaaa708a3f3fe,
  title = {Small-time Wasserstein action for KPZ and $Φ^4_3$ — arXiv:2610.38785},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2610.38785},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_aaa708a3f3fe; sha256 f4abbd8de702ea746f4a3d9eb164d36eaa0664ae8a0b0c168bf6648ed4bfe1ea},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2610.38785. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

We determine the leading small-time Wasserstein action of the full spatial laws of centered KPZ and dynamical $\Phi^4_3$, both started from zero. The leading term is Gaussian, with an explicit heat-trace constant. A common comparison also determines the ratio of length to displacement. For KPZ, a first-chaos cancellation yields a quadratic coupling error. For $\Phi^4_3$, two weighted entropies and an adjoint estimate give comparison bounds uniform in the spectral cutoff. Integrating a Gaussian rotation gives a differentiable realization of the full law; the comparison holds at every positive 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/2610.38785 — 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 2026-11-01T02:14:58.625Z dalla pagina https://arxiv.org/list/math.PR/new (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).