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Joint distributions involving the Poupard and Entringer statistics
时间  Datetime
2018-06-25 16:00 — 17:00 
地点  Venue
Middle Lecture Room
报告人  Speaker
Guoniu Han
单位  Affiliation
National Center for Scientific Research, France
邀请人  Host
马俊
报告摘要  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.