2013/04/09 by Dominique Foata, Foata, Dominique, Guo-Niu Han +1
Mathematics · #Combinatorics (math.CO) #FOS: Mathematics #Numerical methods for differential equations #math.CO
paper · pdf · doi:10.48550/arxiv.1304.2484
arxiv created 2013/04/09 · openalex publication_date 2013/04/09 · arxiv updated 2013/04/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.