The continuum random tree. I
Asymptotics for uniform random labelled trees on n vertices are treated from a modern stochastic process viewpoint. Three limit processes are considered. The first one is an infinite discrete tree. The other two are most naturally represented as continuous two-dimensional fractal tree- like subsets of the infinite-dimensional space \(\ell_ 1\). The proofs are based on a simple algorithm for generating the finite random tree and on weak convergence arguments.
two-dimensional fractal tree-like subsets
scientific article; zbMATH DE number 4190800