arXiv Analytics

Sign in

arXiv:math/0703004 [math.CO]AbstractReferencesReviewsResources

On some properties of permutation tableaux

Alexander Burstein

Published 2007-03-01Version 1

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.

Comments: 13 pages
Categories: math.CO
Subjects: 05A05, 05A15, 05E10
Related articles: Most relevant | Search more
arXiv:0904.0407 [math.CO] (Published 2009-04-02, updated 2009-07-07)
Permutation Statistics and $q$-Fibonacci Numbers
arXiv:1904.07847 [math.CO] (Published 2019-04-16)
Distribution of determinant of sum of matrices
arXiv:1208.1367 [math.CO] (Published 2012-08-07, updated 2012-08-13)
The Distribution of Heights of Discrete Excursions