Independence of permutation limits at infinitely many scales

Research output: Contribution to journalArticlepeer-review

Abstract

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
Volume186
Early online date8 Nov 2021
DOIs
Publication statusE-pub ahead of print - 8 Nov 2021

Keywords

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

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