Limits of Random Trees
Probability
2014-02-04 v1 Combinatorics
Abstract
Local convergence of bounded degree graphs was introduced by Benjamini and Schramm. This result was extended further by Lyons to bounded average degree graphs. In this paper, we study the convergence of a random tree sequence where the probability of a given tree is proportional to . We show that this sequence is convergent and describe the limit object, which is a random infinite rooted tree.
Keywords
Cite
@article{arxiv.1401.2521,
title = {Limits of Random Trees},
author = {Attila Deák},
journal= {arXiv preprint arXiv:1401.2521},
year = {2014}
}