On some properties of permutation tableaux

Alexander Burstein

On some properties of permutation tableaux

Combinatorics 2007-05-23 v1

Authors: Alexander Burstein

Abstract

We consider the relation between various permutation statistics and properties of permutation tableaux. We answer some of the questions of Steingrimsson and Williams (math.CO/0507149), in particular, on the distribution of the bistatistic of numbers of rows and essential ones in permutation tableaux. We also consider and enumerate sets of permutation tableaux related to some pattern restrictions on permutations.

Keywords

permutations probability distribution

Cite

@article{arxiv.math/0703004,
  title  = {On some properties of permutation tableaux},
  author = {Alexander Burstein},
  journal= {arXiv preprint arXiv:math/0703004},
  year   = {2007}
}

Comments

13 pages

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