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Math Graduate Student Seminar

Wednesday, February 5, 2020
12:00pm to 1:00pm
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Linde Hall 187
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.

For more information, please contact Math Department by phone at 626-395-4335 or by email at [email protected].