@article{bollobas2014exploring,
author = "B{\'e}la Bollob{\'a}s and Oliver Riordan",
abstract = "Recently, we adapted exploration and martingale arguments of Nachmias and Peres, in turn based on ideas of Martin-L$\backslash$"of, Karp and Aldous, to prove asymptotic normality of the number \$L\_1\$ of vertices in the largest component \$C\$ of the random \$r\$-uniform hypergraph throughout the supercritical regime. In this paper we take these arguments further to prove two new results: strong tail bounds on the distribution of \$L\_1\$, and joint asymptotic normality of \$L\_1\$ and the number \$M\_1\$ of edges of \$C\$.",
journal = "ArXiV",
month = "mar",
number = "1403.6558",
pages = "22",
title = "{E}xploring hypergraphs with martingales",
url = "http://arxiv.org/abs/1403.6558",
year = "2014",
}