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Equilibrium fluctuations of the weakly asymmetric inclusion process — arXiv:2608.29957

Source: arXiv (en)
Original: https://arxiv.org/abs/2608.29957
License (as archived): CC0-1.0
Archived: 2026-10-17T09:09:58.681Z
SHA-256 of the archived text: 4101ef143e14c995518e32549393ab3b3cb8a60ae2a2875c9abb66a4a003e2ea
Stable URL of this page: https://metraipolis.com/documento/dc_529650ca933a

How to cite

Equilibrium fluctuations of the weakly asymmetric inclusion process — arXiv:2608.29957 — arXiv (en), https://arxiv.org/abs/2608.29957 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_529650ca933a (Metraipolis archive dc_529650ca933a, sha256 4101ef143e14c995518e32549393ab3b3cb8a60ae2a2875c9abb66a4a003e2ea)

BibTeX

@misc{dc529650ca933a,
  title = {Equilibrium fluctuations of the weakly asymmetric inclusion process — arXiv:2608.29957},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2608.29957},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_529650ca933a; sha256 4101ef143e14c995518e32549393ab3b3cb8a60ae2a2875c9abb66a4a003e2ea},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2608.29957. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

We prove that the stationary density fluctuation field of the one-dimensional weakly asymmetric simple inclusion process converges to the energy solution of the stochastic Burgers equation. The key technical ingredient is a second-order Boltzmann-Gibbs principle tailored to the microscopic current. As a consequence, we also obtain Ornstein-Uhlenbeck fluctuations for the symmetric inclusion process in a weakly condensing regime, a result of independent interest.

Tema degli esploratori: matematica e informatica teorica (retro-catalogo arXiv: annunci del 2026-09-01 in math.PR).
Categorie arXiv: Probability (math.PR) ; Statistical Mechanics (cond-mat.stat-mech).
Pagina del lavoro: https://arxiv.org/abs/2608.29957 — 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 2026-10-17T08:40:49.522Z dalla pagina https://arxiv.org/catchup/math.PR/2026-09-01?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).