2014/12/03 by Giacomo Aletti, Aletti, Giacomo, Antonio Daziario +1
Mathematics · #FOS: Mathematics #Probability (math.PR) #math.PR
paper · pdf · doi:10.48550/arxiv.1412.1381
arxiv created 2014/12/03 · arxiv updated 2014/12/04
We present two models of multitype Galton-Watson trees, that we call full binary trees and full binary trees with survivals. We show relevant relations between these trees and the Narayana numbers and the two-dimensional decompositions of integers. We prove further statistical results on our models concerning the related contour processes and offspring distributions.