English

GL(n,q) and Increasing Subsequences in Nonuniform Random Permutations

Combinatorics 2007-05-23 v2 Probability

Abstract

Connections between longest increasing subsequences in random permutations and eigenvalues of random matrices with complex entries have been intensely studied. This note applies properties of random elements of the finite general linear group to obtain results about the longest increasing subsequence in non- uniform random permutations.

Keywords

Cite

@article{arxiv.math/0109079,
  title  = {GL(n,q) and Increasing Subsequences in Nonuniform Random Permutations},
  author = {Jason Fulman},
  journal= {arXiv preprint arXiv:math/0109079},
  year   = {2007}
}

Comments

Results for longest decreasing subsequence are added