Guoniu Han, National Center for Scientific Research, France
Middle Lecture Room, Math Building
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.