{
  "abstract": "Spreading in real-world networks, including modern communication and networked systems, often unfolds through group interactions rather than isolated pairwise contacts. Higher-order network representations such as simplicial complexes, hypergraphs, and their temporal, multilayer, and directed extensions provide a principled way to encode group interactions. Unfortunately, existing studies on spreading over these substrates remain fragmented and largely model-centric, offering limited insight into how higher-order representations and contagion mechanisms jointly shape emergent dynamics. This review addresses this gap by introducing a structure-mechanism-behavior three-level perspective that provides a systematic mapping from higher-order network structures and spreading mechanisms to collective behaviors. Within this framework, we compare how different higher-order network representations encode group interactions, introduce a taxonomy of contagion mechanisms, and analyze their structural carrying capacity, defined as the ability of a given representation to support specific contagion mechanisms and the associated dynamical behaviors. We further map specific structure-mechanism combinations to three hallmark emergent behaviors, thereby offering a unified cross-level perspective beyond existing model-centric surveys. These insights are particularly relevant for communication systems involving group interactions, such as social information spreading, cooperative protocols, and distributed networked processes. Lastly, leveraging this three-level perspective, we offer a roadmap for guiding and controlling dynamics on higher-order networks, while discussing future directions in representation choice, mechanism design, and data-driven inference.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.39297",
  "author_total": 5,
  "authors": [
    {
      "name": "Ming Xie"
    },
    {
      "name": "Shibo He"
    },
    {
      "name": "Qihao Huang"
    },
    {
      "name": "Yuzhen Fan"
    },
    {
      "name": "Jiming Chen"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/es7w96smv6awd.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.39297",
  "fulltext_url": null,
  "id": "es7w96smv6awd",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.39297",
  "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",
      "cs.SI"
    ],
    [
      "arxiv",
      "physics.app-ph"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.39297",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/es7w96smv6awd.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:36:23Z",
      "native_id": "2610.39297",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.39297"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:physics.app-ph",
      "subfield": "applied-instrumentation"
    }
  ],
  "title": "Spreading Dynamics on Higher-Order Networks: A Structure-Mechanism-Behavior Perspective with Applications",
  "title_text": "Spreading Dynamics on Higher-Order Networks: A Structure-Mechanism-Behavior Perspective with Applications",
  "type": "preprint",
  "updated_at": "2026-11-01T12:20:45Z",
  "url": "https://research.draconitic.com/paper/es7w96smv6awd",
  "venue": "arXiv",
  "versions": []
}