English

The copies of any permutation pattern are asymptotically normal

Combinatorics 2007-12-18 v1 Probability

Abstract

We prove that the number of copies of any given permutation pattern qq has an asymptotically normal distribution in random permutations.

Keywords

Cite

@article{arxiv.0712.2792,
  title  = {The copies of any permutation pattern are asymptotically normal},
  author = {Miklos Bona},
  journal= {arXiv preprint arXiv:0712.2792},
  year   = {2007}
}

Comments

8 pages

R2 v1 2026-06-21T09:54:58.919Z