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arXiv · 1211.3822

Almost giant clusters for percolation on large trees with logarithmic heights

Jean Bertoin
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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.

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Jean Bertoin. 2013-01-28. Almost giant clusters for percolation on large trees with logarithmic heights. https://arxiv.org/abs/1211.3822

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