Permuton

Quick meaning: Permuton is a noun meaning (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).

Meaning

(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).

Example Sentences

In the recent terminology of permutons, our work can be interpreted as the convergence of uniform random separable permutations towards a "Brownian separable permuton".

Word Forms

• permutons

Related Words

Related dictionary entries include permutation, permutizer, intermutant, multipermutation, probability, ensemble.

Related Dictionary Tools