{
  "abstract": "We develop a spectral theory for dynamical large deviations in non-Markov jump processes and non-Markov chains, whose dynamics depends on the past through state- and jump-dependent empirical observables. We demonstrate that a multiscale Wentzel-Kramers-Brillouin-Jeffreys (WKBJ) Ansatz separates fast configurational relaxation from slow memory evolution, reducing the Feynman--Kac equation for occupation and flux statistics to an eigenvalue problem for a new tilted operator coupled to Hamilton--Jacobi characteristics. This provides a computationally efficient framework for quantifying fluctuations in a broad class of non-Markovian systems. We illustrate our general results with a bistable self-induced East model.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.40329",
  "author_total": 2,
  "authors": [
    {
      "name": "Francesco Coghi"
    },
    {
      "name": "Juan P. Garrahan"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1e2jxq12n2d7e.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.40329",
  "fulltext_url": null,
  "id": "1e2jxq12n2d7e",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.40329",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cond-mat.stat-mech"
    ],
    [
      "arxiv",
      "math.PR"
    ],
    [
      "openalex",
      "2610|Stochastic processes and statistical mechanics"
    ]
  ],
  "openalex": "W7215034299",
  "pdf_url": "https://arxiv.org/pdf/2609.40329",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-21",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1e2jxq12n2d7e.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:18Z",
      "native_id": "2609.40329",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.40329"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Spectral theory for dynamical large deviations in non-Markov self-interacting processes",
  "title_text": "Spectral theory for dynamical large deviations in non-Markov self-interacting processes",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:22Z",
  "url": "https://research.draconitic.com/paper/1e2jxq12n2d7e",
  "venue": "arXiv",
  "versions": []
}