The continuum random tree. I
type: Item
instance of: scholarly article
title: The continuum random tree. I
zbMATH Open document ID: 0722.60013
author: David Aldous
published in: The Annals of Probability
publication date: 1991-01-01T00:00:00Z
review text: 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.
reviewed by: Ljuben Mutafchiev
Mathematics Subject Classification ID: 60C05
Mathematics Subject Classification ID: 05C80
zbMATH DE Number: 4190800
zbMATH Keywords: limit processes
zbMATH Keywords: two-dimensional fractal tree-like subsets
zbMATH Keywords: finite random tree
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1214/aop/1176990534
OpenAlex ID: W2095181329
DOI: 10.1214/AOP/1176990534
description: scientific article; zbMATH DE number 4190800