Approximate factorization and concentration for characters of symmetric groups
Representation Theory
2007-05-23 v2 Probability
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.
Cite
@article{arxiv.math/0006111,
title = {Approximate factorization and concentration for characters of symmetric groups},
author = {Philippe Biane},
journal= {arXiv preprint arXiv:math/0006111},
year = {2007}
}
Comments
12 pages, 2 figures