14 citations · 22 across the 4 of their papers we have counts for
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Gaussian concentration of the q-characters of the Hecke algebras of type A
Pierre-Loïc Méliot
We show that with respect to the q-Plancherel measure on partitions of size n, the irreducible characters of an Hecke algebra are concentrated around the normalized trac…
Products of Geck-Rouquier conjugacy classes and the Hecke algebra of composed permutations
Pierre-Loïc Méliot
We show the q-analog of a well-known result of Farahat and Higman: in the center of the Iwahori-Hecke algebra , if is the set of structure constants in…
Asymptotics of the Gelfand models of the symmetric groups
Pierre-Loïc Méliot
If a partition of size n is chosen randomly according to the Plancherel measure , then as n goes to infinity, the rescaled shape of is with high pro…
Kerov's central limit theorem for Schur-Weyl measures of parameter 1/2
Pierre-Loïc Méliot
We show that Kerov's central limit theorem related to the fluctuations of Young diagrams under the Plancherel measure extends to the case of Schur-Weyl measures, which are the prob…