Asymptotic distribution of parameters in random maps
Time: 11:00 -- Location: Salle Philippe Flajolet du LIX
In this joint work with Olivier Bodini, Julien Courtiel, and Hsien-Kuei Hwang, we consider random rooted maps without regard to their genus. We address the problem of limiting distributions for six different parameters: - vertices - leaves - loops - root edges - root isthmic constructions - root vertex degree Each parameter has a different limiting distribution, varying from (discrete) geometric and Poisson to (continuous) Beta, normal, uniform, and an unusual bounded distribution characterised by its moments.