Affordable Access

Real Zeros and Normal Distribution for statistics on Stirling permutations defined by Gessel and Stanley

Authors
  • Bona, Miklos
Type
Preprint
Publication Date
Mar 12, 2008
Submission Date
Aug 23, 2007
Source
arXiv
License
Unknown
External links

Abstract

We study Stirling permutations defined by Gessel and Stanley. We prove that their generating function according to the number of descents has real roots only. We use that fact to prove that the distribution of these descents, and other, equidistributed statistics on these objects converge to a normal distribution.

Report this publication

Statistics

Seen <100 times