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arXiv:math/0006111 [math.RT]AbstractReferencesReviewsResources

Approximate factorization and concentration for characters of symmetric groups

Philippe Biane

Published 2000-06-15, updated 2000-06-16Version 2

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.

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