{
  "abstract": "We prove the existence of maximizing measures for subadditive and almost-additive families of upper semicontinuous, bounded-above potentials $\\mathcal F=\\{f_n\\}_{n\\geq1}$ on closed subshifts over countable alphabets. Under a coercivity condition on $f_1$, we prove that every maximizing sequence, that is, $\\{μ_k\\}_{k\\geq1}\\subset\\mathcal M_σ(X)$ satisfying $\\bar{\\mathcal F}(μ_k)\\toβ(\\mathcal F)$, is uniformly tight, preventing mass from escaping to arbitrarily large symbols. As a consequence, a maximizing measure exists.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.33218",
  "author_total": 2,
  "authors": [
    {
      "name": "Ricardo Freire"
    },
    {
      "name": "Juliano S. Gonschorowski"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4ntcqagv4f50a.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.33218",
  "fulltext_url": null,
  "id": "4ntcqagv4f50a",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.33218",
  "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",
      "math.DS"
    ],
    [
      "openalex",
      "2610|Mathematical Dynamics and Fractals"
    ]
  ],
  "openalex": "W7223807130",
  "pdf_url": "https://arxiv.org/pdf/2610.33218",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-23",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4ntcqagv4f50a.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:40Z",
      "native_id": "2610.33218",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.33218"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DS",
      "subfield": "dynamical-systems"
    }
  ],
  "title": "Maximizing Measures for Subadditive and Almost-Additive Potentials on Countable-Alphabet Subshifts",
  "title_text": "Maximizing Measures for Subadditive and Almost-Additive Potentials on Countable-Alphabet Subshifts",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:40Z",
  "url": "https://research.draconitic.com/paper/4ntcqagv4f50a",
  "venue": "arXiv",
  "versions": []
}