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Wednesday, February 05, 2020
12:00 PM - 1:00 PM
Linde Hall 187

Math Graduate Student Seminar

Central limit theorem on conjugacy class measure of the symmetric group
Yuhui Jin, Department of Mathematics, Caltech,

In the 1990s, Kerov first studied a central limit theorem on the character ratio of the Plancherel measure of the symmetric group. Character ratio is an important quantity to understand random walks on the symmetric group generated by transpositions. Here, we study a similar measure called conjugacy class measure on the symmetric group and prove a CLT on the character ratio, using the method of moments.

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