Approximate Factorization and Concentration for Characters of Symmetric Groups

International Mathematics Research Notices

Volumn 2001, Issue 4, 2001, Pages

  Biane, Philippe ^a  

^a ECOLE NORMALE SUPÉRIEURE   (France)

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EID: 18844471198     PISSN: 10737928     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (10)

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4. [LS] B. F. Logan and L. A. Shepp, A variational problem for random Young tableaux, Adv. Math. 26 (1977), 206-222.
5. [Mac] I. G. Macdonald, Symmetric Functions and Hall Polynomials, 2d ed., Oxford Math. Monogr., Oxford Univ. Press, New York, 1995.
6. [MP] V. A. Marčnko and L. A. Pastur, Distribution of eigenvalues in certain sets of random matrices (in Russian), Mat. Sb. (N.S.) 72 (114) (1967), 507-536.
7. [S] R. Speicher, Combinatorial theory of the free product with amalgamation and operator-valued free probability theory, Mem. Amer. Math. Soc. 132 (1998), no. 627.
8. [VK] A. M. Vershik and S. V. Kerov, Asymptotics of the Plancherel measure of the symmetric group, Soviet Math. Dokl. 18 (1977), 527-531.
9. [VDN] D. V. Voiculescu, K. J. Dykema, and A. Nica, Free Random Variables, CRM Monogr. Ser. 1, Amer. Math. Soc., Providence, 1992.
10. [W] H. Weyl, The Classical Groups: Their Invariants and Representations, Princeton Univ. Press, Princeton, 1939.