permuton.
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).
Meaning & usage
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).
Where this word comes from
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". The term "permuton" was coined by Roman Glebov, Andrzej Grzesik, Tereza Klimošová and Daniel Kráľ in their 2013 paper, "Finitely forcible graphons and permutons", from permute, to resemble graphon.
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Last enriched 2026-09-10. Definitions are in English. Romanizations are shown when supplied by the source; syllable estimates are omitted for unsupported scripts.