You are cordially invited to the Analysis Seminar organized by the Department of Mathematics.
Speaker: Jimmy He (Massachusetts Institute of Technology)
“Cycles of Mallows permutations”
Abstract: The Mallows distribution of parameter q is a family of distributions on the symmetric group generalizing the uniform distribution. Under the uniform distribution when q=1, the cycles of a random permutation are known to be approximately Poisson. I will discuss recent work on establishing Gaussian behavior for the cycle structure of these permutations when q is not 1. The regime q1 follows from known techniques, but the regime q>1 requires some new ideas. The proof uses the stationary Mallows process, an infinite stationary version of the Mallows permutation introduced by Gnedin and Olshanski.
Date: Thursday, March 17, 2022
Time: 18:00-19:00, GMT+3.
This is an online seminar. To request the event link, please send a message to goncha@fen.bilkent.edu.tr