{
  "abstract": "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 $N^{1+α}$, where $N$ denotes the total number of particles in the system and the parameter $α>1$ 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.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.03821",
  "author_total": 2,
  "authors": [
    {
      "name": "Seonwoo Kim"
    },
    {
      "name": "Seungchan Lee"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7khd0radcfzhq.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.03821",
  "fulltext_url": null,
  "id": "7khd0radcfzhq",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.03821",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "arxiv",
      "math.PR"
    ],
    [
      "openalex",
      "2610|Stochastic processes and statistical mechanics"
    ]
  ],
  "openalex": "W7208710793",
  "pdf_url": "https://arxiv.org/pdf/2609.03821",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7khd0radcfzhq.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:31Z",
      "native_id": "2609.03821",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.03821"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "Condensation and metastability in the supercritical two-species zero-range process via resolvent and $H^1$-approximation",
  "title_text": "Condensation and metastability in the supercritical two-species zero-range process via resolvent and H^1-approximation",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:36Z",
  "url": "https://research.draconitic.com/paper/7khd0radcfzhq",
  "venue": "arXiv",
  "versions": []
}