Abstract
We study the critical parameter $u^*$ of random interlacements on a Galton-Watson tree conditioned on the non-extinction event. 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.
Citation
Martin Tassy. "Random interlacements on Galton-Watson Trees." Electron. Commun. Probab. 15 562 - 571, 2010. https://doi.org/10.1214/ECP.v15-1586
Information
