Combinatorics Seminar 2018


Speaker: Guoniu Han (韩国牛), Université de Strasbourg

Date: Mon, Jun 25, 2018

Time: 16:00 - 17:00

Venue: Large Meeting Room

Title: Joint distributions involving the Poupard and Entringer statistics

Abstract:

Following Poupard’s study of strictly ordered binary trees with respect to two parameters, namely, “end of minimal chain” and “parent of maximum leaf” a true Tree Calculus is being developed to solve a partial difference equation system and then make a joint study of those two statistics. Their joint distribution is shown to be symmetric and to be expressed in the form of an explicit three-variable generating function. Closed expressions for the generating functions for pairs of so-called Entringerian statistics over the set of all Andre Permutations will also be discussed.

Slides: View slides


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