A. [. Adin, Y. Postnikov, and . Roichman, Combinatorial Gelfand models, Journal of Algebra, vol.320, issue.3, pp.1311-1325, 2008.
DOI : 10.1016/j.jalgebra.2008.03.030

URL : https://hal.archives-ouvertes.fr/hal-01185146

]. P. Bia01 and . Biane, Approximate factorization and concentration for characters of symmetric groups, Internat. Math. Res. Notices, vol.4, pp.179-192, 2001.

J. Baik and E. Rains, The asymptotics of monotone subsequences of involutions. Duke Math, J, vol.109, issue.2, pp.205-281, 2001.

P. [. Féray and . Méliot, Asymptotics of q-plancherel measures, Probability Theory and Related Fields, vol.85, issue.6, 2010.
DOI : 10.1007/s00440-010-0331-6

]. W. Ful97 and . Fulton, Young Tableaux with Applications to Representation Theory and Geometry, 1997.

V. Ivanov, S. Kerovio02-]-v, G. Ivanov, and . Olshanski, The algebra of conjugacy classes in symmetric groups, and partial permutations Dynamical Systems, Combinatorial and Algorithmical Methods III, volume 256 of Zapiski Nauchnyh Seminarov POMI Kerov's central limit theorem for the Plancherel measure on Young diagrams, Representation Theory Symmetric Functions 2001: Surveys of Developments and Perspectives NATO Science Series II. Mathematics, Physics and Chemistry, pp.95-120, 1999.

L. [. Logan and . Shepp, A variational problem for random Young tableaux, Advances in Mathematics, vol.26, issue.2, pp.206-222, 1977.
DOI : 10.1016/0001-8708(77)90030-5

P. Méliot, Asymptotics of the Gelfand models of the symmetric groups. arXiv 1009.4047v1 [math, 2010.

]. Mél10b and . Méliot, Kerov's central limit theorem for Schur-Weyl measures of parameter ? = 1/2, 2010.

. [. Sniady, Gaussian fluctuations of characters of symmetric groups and of Young diagrams. Probability Theory and Related Fields, pp.263-297, 2006.