paper

Approximate factorization and concentration for characters of symmetric groups

arXiv:math/0006111

Abstract

We prove a factorization-concentration result for characters of symmetric groups. This is then applied to the asymptotic behaviour of the decomposition of the tensor representations. There are connections with the Pastur-Marcenko distribution of random matrix theory, and freely infinitely divisible distributions.

12 pages, 2 figures

Approximate factorization and concentration for characters of symmetric groups · wovepaper