{
  "abstract": "We give an algorithm for computing an $\\eps$-approximate fixed point of any $d$-dimensional nonexpansion with respect to the $\\ell_\\infty$ norm in time $\\log(1/\\eps)^{O(\\log^2 d)}$. At its core, our method uses a boosting argument to geometrically shrink a search region. Among other consequences, our algorithm implies that simple stochastic games can be solved in quasipolynomial time.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.30122",
  "author_total": 2,
  "authors": [
    {
      "name": "Ashkan Soleymani"
    },
    {
      "name": "Gabriele Farina"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/94vjfae4742bd.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.30122",
  "fulltext_url": null,
  "id": "94vjfae4742bd",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.30122",
  "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.CC"
    ],
    [
      "arxiv",
      "cs.GT"
    ],
    [
      "arxiv",
      "cs.LG"
    ],
    [
      "arxiv",
      "math.OC"
    ],
    [
      "openalex",
      "1703|Complexity and Algorithms in Graphs"
    ]
  ],
  "openalex": "W7223230721",
  "pdf_url": "https://arxiv.org/pdf/2610.30122",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-21",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/94vjfae4742bd.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:22Z",
      "native_id": "2610.30122",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.30122"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.OC",
      "subfield": "optimisation-control"
    }
  ],
  "title": "A Quasipolynomial Algorithm for $\\ell_\\infty$ Contractions",
  "title_text": "A Quasipolynomial Algorithm for ℓ_∞ Contractions",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:22Z",
  "url": "https://research.draconitic.com/paper/94vjfae4742bd",
  "venue": "arXiv",
  "versions": []
}