{
  "abstract": "We investigate the dynamics of Conway's Game of Life (GoL) through the lens of Ordinal Pattern analysis. Each GoL generation is transformed into a one-dimensional time series, from which ordinal patterns are extracted to characterize its underlying dynamics. The resulting ordinal distributions are then represented in the Entropy--Statistical Complexity ($H \\times C$) plane, enabling a quantitative analysis of the system's evolution. We evaluate different encoding strategies, including patch sizes and linearization methods, and assess their impact on the resulting $H \\times C$ trajectories. Finally, we characterize the emergent dynamics in terms of convergence behavior, trajectory patterns, and statistical complexity, showing how the proposed entropy--complexity framework provides insights into the dynamics of cellular automata.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.31708",
  "author_total": 4,
  "authors": [
    {
      "name": "Lucas Malacarne Astore"
    },
    {
      "name": "Alejandro C. Frery"
    },
    {
      "name": "Petrônio Cândido de Lima e Silva"
    },
    {
      "name": "Frederico Gadelha Guimarães"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1jfwcf5xvrw35.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.31708",
  "fulltext_url": null,
  "id": "1jfwcf5xvrw35",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.31708",
  "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",
      "cs.IT"
    ],
    [
      "arxiv",
      "math.IT"
    ],
    [
      "arxiv",
      "nlin.CD"
    ],
    [
      "openalex",
      "1703|Cellular Automata and Applications"
    ]
  ],
  "openalex": "W7223694303",
  "pdf_url": "https://arxiv.org/pdf/2610.31708",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-21",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1jfwcf5xvrw35.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:15Z",
      "native_id": "2610.31708",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.31708"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.IT",
      "subfield": "general"
    },
    {
      "field": "physics",
      "origin": "arxiv:nlin.CD",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Spatiotemporal Dynamics of Conway's Game of Life in the Entropy--Complexity Plane",
  "title_text": "Spatiotemporal Dynamics of Conway's Game of Life in the Entropy--Complexity Plane",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:19Z",
  "url": "https://research.draconitic.com/paper/1jfwcf5xvrw35",
  "venue": "arXiv",
  "versions": []
}