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arXiv · 1006.1597

Random interlacements on Galton-Watson Trees

Martin Tassy
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Abstract

We study the critical parameter u^{*} of random interlacements percolation (introduced by A.S Sznitman in arXiv:0704.2560) on a Galton-Watson tree conditioned on the non-extinction event. Starting from the previous work of A. Teixeira in arXiv:0907.0316, we show that, for a given law of a Galton-Watson tree, the value of this parameter is a.s. constant and non-trivial. We also characterize this value as the solution of a certain equation.

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Martin Tassy. 2010-12-03. Random interlacements on Galton-Watson Trees. https://arxiv.org/abs/1006.1597

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