English

Asymptotics of Young tableaux in the $(k,\ell)$ hook

Combinatorics 2010-07-23 v1

Abstract

The asymptotics of the "(k,)(k,\ell) hook" sums Sk,(2z)(n)S_{k,\ell}^{(2z)}(n) (see~\eqref{the.sums.1}) were calculated in~\cite{berele}. It was recently realized that in~\cite[Section 7]{berele} there are few misprints and certain confusion with regard to the notations, so that the precise asymptotics of Sk,(2z)(n)S_{k,\ell}^{(2z)}(n) is not clear. Here we add more details and carefully repeat these calculations, which lead to explicit values for the asymptotics of Sk,(2z)(n).S_{k,\ell}^{(2z)}(n).

Keywords

Cite

@article{arxiv.1007.3833,
  title  = {Asymptotics of Young tableaux in the $(k,\ell)$ hook},
  author = {A. Berele and A. Regev},
  journal= {arXiv preprint arXiv:1007.3833},
  year   = {2010}
}