Independence of permutation limits at infinitely many scales

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We introduce a new natural notion of convergence for permutations at any specified scale, in terms of the density of patterns of restricted width. In this setting we prove that limits may be chosen independently at a countably infinite number of scales.

Original languageEnglish
Article number105557
JournalJournal of Combinatorial Theory. Series A
Early online date8 Nov 2021
Publication statusPublished - 1 Feb 2022


  • permutation limits
  • permutons
  • convergence
  • pattern density
  • limit


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