Distribution of descents in matchings

01/30/2018 - 12:15pm
01/30/2018 - 1:10pm
Gene Kim (USC)

The distribution of descents in certain conjugacy classes of $S_n$ have been previously studied, and it is shown that its moments have interesting properties. This paper provides a bijective proof of the symmetry of the descents and major indices of matchings (also known as fixed point free involutions) and uses a generating function approach to prove an asymptotic normality theorem for the number of descents in matchings.

Millikan 2099, Pomona College

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