English

Experimenting with Standard Young Tableaux

Combinatorics 2023-03-31 v1

Abstract

Using Symbolic Computation with Maple, we can discover lots of (rigorously-proved!) facts about Standard Young Tableaux, in particular the distribution of the entries in any specific cell, and the sorting probabilities.

Cite

@article{arxiv.2303.17023,
  title  = {Experimenting with Standard Young Tableaux},
  author = {Shalosh B. Ekhad and Doron Zeilberger},
  journal= {arXiv preprint arXiv:2303.17023},
  year   = {2023}
}

Comments

12 pages. Accompanied by a Maple package and many output files available from https://sites.math.rutgers.edu/~zeilberg/mamarim/mamarimhtml/syt.html

R2 v1 2026-06-28T09:40:40.864Z