{
  "abstract": "This paper presents a computational study of language competition dynamics on Erdős--Rényi random networks, extending the foundational Abrams--Strogatz model through two novel contributions: (i) a dynamic edge-weighting mechanism that reinforces social ties between co-minority speakers by an additive increment $Δ$, and (ii) a probabilistic agent-based framework governing language switching via a weighted majority rule. Phase boundaries separating the dominance and coexistence regimes are identified across a two-dimensional parameter space $(p, Δ)$, where $p$ denotes the network connectivity probability. We further characterise anomalous persistence zones within predicted dominance regions, attributing them to the formation of isolated minority speaker clusters. Scaling study across network sizes $N \\in \\{50, 100, 250, 500, 1000\\}$ reveal that average cluster size decreases with $N$ and that phase boundaries diffuse with increasing stochastic noise. Finally, we discuss extensions to a tripartite bilingual model and heterogeneous prestige/volatility to more faithfully capture real sociolinguistic contact scenarios.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.01078",
  "author_total": 3,
  "authors": [
    {
      "name": "Somyaranjan Chakra"
    },
    {
      "name": "Mohit Anand Madhesia"
    },
    {
      "name": "Shradha Mishra"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4wwprks1w550y.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.01078",
  "fulltext_url": null,
  "id": "4wwprks1w550y",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.01078",
  "language": null,
  "licence": "CC-BY-NC-ND-4.0",
  "licence_label": "CC BY-NC-ND 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cond-mat.stat-mech"
    ],
    [
      "openalex",
      "3109|Opinion Dynamics and Social Influence"
    ]
  ],
  "openalex": "W7206159011",
  "pdf_url": "https://arxiv.org/pdf/2609.01078",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4wwprks1w550y.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:16Z",
      "native_id": "2609.01078",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.01078"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Statistical Language Competition Model with Dynamic Edge Weighting on a Random Network",
  "title_text": "Statistical Language Competition Model with Dynamic Edge Weighting on a Random Network",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:16Z",
  "url": "https://research.draconitic.com/paper/4wwprks1w550y",
  "venue": "arXiv",
  "versions": []
}