Almost giant clusters for percolation on large trees with logarithmic heights
Probability
2013-01-29 v2
Abstract
This text is based on a lecture for the Sheffield Probability Day; its main purpose is to survey some recent asymptotic results about Bernoulli bond percolation on certain large random trees with logarithmic height. We also provide a general criterion for the existence of giant percolation clusters in large trees, which answers a question raised by David Croydon.
Keywords
Cite
@article{arxiv.1211.3822,
title = {Almost giant clusters for percolation on large trees with logarithmic heights},
author = {Jean Bertoin},
journal= {arXiv preprint arXiv:1211.3822},
year = {2013}
}