{
  "abstract": "We consider annihilating random walks on the finite one-dimensional integer torus with deposition of pairs of particles, conditioned on an atypical number of particle jumps. In the thermodynamic limit the process undergoes a dynamical phase transition in the universality class of the one-dimensional quantum Ising model in a transverse field. All cumulants of the time-integrated particle current and of the time-integrated activity, defined as the total number of particle jumps up to some time t, are obtained in closed form to leading order in system size L at the critical point. The generating functions of the cumulants near the critical point are proved to be given by two universal quantities, viz., by the central charge c = 1/2 of the Virasoro algebra that characterizes the Ising universality class and universal scaling functions that are obtained in explicit form.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2505.16046",
  "author_total": 3,
  "authors": [
    {
      "name": "D. Karevski"
    },
    {
      "name": "G M Schütz"
    },
    {
      "name": "A. Zahra"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/csa9jh3yqbe2a.bib",
  "cited_by": 0,
  "doi": "10.1007/s11040-026-09588-6",
  "fulltext_url": null,
  "id": "csa9jh3yqbe2a",
  "issns": [
    "1385-0172",
    "1572-9656"
  ],
  "landing_url": "https://hal.science/hal-05766668v1",
  "language": "en",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "hal",
      "0.math"
    ],
    [
      "hal",
      "0.phys"
    ],
    [
      "hal",
      "1.math.math-mp"
    ],
    [
      "hal",
      "1.phys.cond"
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    [
      "hal",
      "2.phys.cond.cm-sm"
    ],
    [
      "openalex",
      "2610|Stochastic processes and statistical mechanics"
    ]
  ],
  "openalex": "W4416447681",
  "pdf_url": "https://hal.science/hal-05766668/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-26",
  "publisher": "Springer Verlag",
  "ris": "https://research.draconitic.com/paper/csa9jh3yqbe2a.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:42Z",
      "native_id": "hal-05766668",
      "source": "hal",
      "url": "https://hal.science/hal-05766668v1"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "hal:1.math.math-mp",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "hal:1.phys.cond",
      "subfield": "condensed-matter"
    },
    {
      "field": "physics",
      "origin": "hal:2.phys.cond.cm-sm",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Universal Cumulants and Conformal Invariance in Annihilating Random Walks with Pair Deposition",
  "title_text": "Universal Cumulants and Conformal Invariance in Annihilating Random Walks with Pair Deposition",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:17:42Z",
  "url": "https://research.draconitic.com/paper/csa9jh3yqbe2a",
  "venue": "Mathematical Physics, Analysis and Geometry",
  "versions": []
}