"permuton" meaning in All languages combined

{
  "etymology_text": "Introduced by Carlos Hoppen, Yoshiharu Kohayakawa, Carlos Gustavo Moreira, Balázs Ráth and Rudini Menezes Sampaio in their 2011 paper, \"Limits of permutation sequences\", with the name \"limit permutation\".\nThe term \"permuton\" was coined by Roman Glebov, Andrzej Grzesik, Tereza Klimošová and Daniel Kráľ in their 2013 paper, \"Finitely forcible graphons and permutons\", to resemble graphon.",
  "forms": [
    {
      "form": "permutons",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "permuton (plural permutons)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Physics",
          "orig": "en:Physics",
          "parents": [
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "ref": "2016, Frédérique Bassino, Mathilde Bouvel, Valentin Féray, Lucas Gerin, Adeline Pierrot, “The Brownian limit of separable permutations”, in arXiv:",
          "text": "In the recent terminology of permutons, our work can be interpreted as the convergence of uniform random separable permutations towards a \"Brownian separable permuton\"..",
          "type": "quote"
        }
      ],
      "glosses": [
        "A probability measure Φ on the σ-algebra of Borel sets of the unit square [0,1]² such that Φ has uniform marginals (that is, Φ ([α, β] × [0,1]) = Φ ([0,1] × [α, β]) = β − α for every 0 ≤ α ≤ β ≤ 1)."
      ],
      "id": "en-permuton-en-noun-478F8kVK",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "physics",
          "physics"
        ]
      ],
      "raw_glosses": [
        "(mathematics, physics) A probability measure Φ on the σ-algebra of Borel sets of the unit square [0,1]² such that Φ has uniform marginals (that is, Φ ([α, β] × [0,1]) = Φ ([0,1] × [α, β]) = β − α for every 0 ≤ α ≤ β ≤ 1)."
      ],
      "topics": [
        "mathematics",
        "natural-sciences",
        "physical-sciences",
        "physics",
        "sciences"
      ]
    }
  ],
  "word": "permuton"
}

{
  "etymology_text": "Introduced by Carlos Hoppen, Yoshiharu Kohayakawa, Carlos Gustavo Moreira, Balázs Ráth and Rudini Menezes Sampaio in their 2011 paper, \"Limits of permutation sequences\", with the name \"limit permutation\".\nThe term \"permuton\" was coined by Roman Glebov, Andrzej Grzesik, Tereza Klimošová and Daniel Kráľ in their 2013 paper, \"Finitely forcible graphons and permutons\", to resemble graphon.",
  "forms": [
    {
      "form": "permutons",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "permuton (plural permutons)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English nouns",
        "English terms with quotations",
        "Pages with 1 entry",
        "en:Mathematics",
        "en:Physics"
      ],
      "examples": [
        {
          "ref": "2016, Frédérique Bassino, Mathilde Bouvel, Valentin Féray, Lucas Gerin, Adeline Pierrot, “The Brownian limit of separable permutations”, in arXiv:",
          "text": "In the recent terminology of permutons, our work can be interpreted as the convergence of uniform random separable permutations towards a \"Brownian separable permuton\"..",
          "type": "quote"
        }
      ],
      "glosses": [
        "A probability measure Φ on the σ-algebra of Borel sets of the unit square [0,1]² such that Φ has uniform marginals (that is, Φ ([α, β] × [0,1]) = Φ ([0,1] × [α, β]) = β − α for every 0 ≤ α ≤ β ≤ 1)."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "physics",
          "physics"
        ]
      ],
      "raw_glosses": [
        "(mathematics, physics) A probability measure Φ on the σ-algebra of Borel sets of the unit square [0,1]² such that Φ has uniform marginals (that is, Φ ([α, β] × [0,1]) = Φ ([0,1] × [α, β]) = β − α for every 0 ≤ α ≤ β ≤ 1)."
      ],
      "topics": [
        "mathematics",
        "natural-sciences",
        "physical-sciences",
        "physics",
        "sciences"
      ]
    }
  ],
  "word": "permuton"
}