Asymptotic distribution of parameters in random maps
Distribution asymptotique de paramètres dans des cartes aléatoires
Abstract
We consider random rooted maps without regard to their genus, with fixed large number of edges, and address the problem of limiting distributions for six different parameters: vertices, leaves, loops, root edges, root isthmus, and root vertex degree. Each of these leads to a different limiting distribution, varying from (discrete) geometric and Poisson distributions to different continuous ones: Beta, normal, uniform, and an unusual distribution whose moments are characterised by a recursive triangular array.
Domains
Combinatorics [math.CO]
Origin : Files produced by the author(s)
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