Joint distributions involving the Poupard and Entringer statistics
主 题: Joint distributions involving the Poupard and Entringer statistics
报告人: Prof. Guo-Niu Han (National Center for Scientific Research, France)
时 间: 2016-05-26 10:00 - 11:00
地 点: Rm 1569, No 1 Sci Bldg (理科一号楼1569)
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.