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We found one dictionary that defines the word permuton:

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  1. permuton: Wiktionary

Definitions from Wiktionary (permuton)

noun:  (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).

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