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Joint Distributions Involving the Poupard and Entringer Statistics

Speaker

Guoniu Han, National Center for Scientific Research, France

Time

2018.06.25 16:00-17:00

Venue

Middle Lecture Room, Math Building

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.