Aldous, David The continuum random tree. I. (English) Zbl 0722.60013 Ann. Probab. 19, No. 1, 1-28 (1991). 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. Reviewer: L.Mutafchiev (Sofia) Cited in 11 ReviewsCited in 221 Documents MSC: 60C05 Combinatorial probability 05C80 Random graphs (graph-theoretic aspects) Keywords:limit processes; two-dimensional fractal tree-like subsets; finite random tree PDFBibTeX XMLCite \textit{D. Aldous}, Ann. Probab. 19, No. 1, 1--28 (1991; Zbl 0722.60013) Full Text: DOI