On the Schur-Weyl measure:
Pierre-Loïc Méliot, Kerov’s central limit theorem for Schur-Weyl and Gelfand measures, DMTCS proc. AO, 2011, 669–680 (pdf)
Pierre-Loïc Méliot, Kerov’s central limit theorem for Schur-Weyl measures of parameter 1/2 (arXiv:1009.4034)
Pierre-Loïc Méliot, Asymptotics of the Gelfand models of the symmetric groups (arXiv:1009.4047)
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