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Condensation and metastability in the supercritical two-species zero-range process via resolvent and $H^1$-approximation — arXiv:2609.03821

Source: arXiv (en)
Original: https://arxiv.org/abs/2609.03821
License (as archived): CC0-1.0
Archived: 2026-10-17T02:32:07.572Z
SHA-256 of the archived text: fdc1200fc99e33b0be9dfd54b263da2afc359bdabd7bf942f6facbb8fb879b30
Stable URL of this page: https://metraipolis.com/documento/dc_12eecd14ff1b

How to cite

Condensation and metastability in the supercritical two-species zero-range process via resolvent and $H^1$-approximation — arXiv:2609.03821 — arXiv (en), https://arxiv.org/abs/2609.03821 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_12eecd14ff1b (Metraipolis archive dc_12eecd14ff1b, sha256 fdc1200fc99e33b0be9dfd54b263da2afc359bdabd7bf942f6facbb8fb879b30)

BibTeX

@misc{dc12eecd14ff1b,
  title = {Condensation and metastability in the supercritical two-species zero-range process via resolvent and $H^1$-approximation — arXiv:2609.03821},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2609.03821},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_12eecd14ff1b; sha256 fdc1200fc99e33b0be9dfd54b263da2afc359bdabd7bf942f6facbb8fb879b30},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2609.03821. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

In this article, we investigate the two-species zero-range process, a multi-species generalization of the classical zero-range process. First, we analyze its condensation regime, which directly parallels its single-species counterpart. As our main result, we establish the dynamical metastable behavior of the location of the single condensate, showing that its motion is governed by a simple Markov chain on the accelerated time scale $N^{1+\alpha}$, where $N$ denotes the total number of particles in the system and the parameter $\alpha>1$ governs the attractivity of the system. Another novelty of this work lies in the proof technique, which integrates the recently developed resolvent approach with the $H^{1}$-approximation method to rigorously characterize metastability.

Tema degli esploratori: matematica e informatica teorica (retro-catalogo arXiv: annunci del 2026-09-04 in math.PR).
Categorie arXiv: Probability (math.PR) ; Mathematical Physics (math-ph).
Pagina del lavoro: https://arxiv.org/abs/2609.03821 — 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 2026-10-17T02:08:47.868Z dalla pagina https://arxiv.org/catchup/math.PR/2026-09-04?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).