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permuton

出典:『Wiktionary』 (2024/09/27 15:54 UTC )

語源

Introduced by Carlos Hoppen, Yoshiharu Kohayakawa, Carlos Gustavo Moreira, Balázsth 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.

名詞

permuton (plural permutons)

  1. (mathematics, physics) A probability measure Φ on the σ-algebra of Borel sets of the unit square [0,1] 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).
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