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QS-distribution, riffle shuffles, and quasisymmetric functions

Date:
-
Location:
745 Patterson Office Tower
Speaker(s) / Presenter(s):
Sarah Nelson, University of Kentucky

In this talk, we will discuss part of Richard Stanley's paper "Generalized Riffle Shuffles and Quasisymmetric Functions". After defining the QS-distribution by standardizing elements from the probability distribution on a totally ordered set, we will examine another description in terms of riffle shuffles. Then we will consider the relationship between the QS-distribution and quasisymmetric functions. Using this relationship, we can generalize results concerning quasisymmetric functions and symmetric functions.