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Random interlacements on Galton-Watson Trees

   
@article{ECP1586,
	author = {Martin Tassy},
	title = {Random interlacements on Galton-Watson Trees},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {15},
	year = {2010},
	keywords = {Random Interlacement, Galton-Watson tree, critical behaviour},
	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.},
	pages = {no. 50, 562-571},
	issn = {1083-589X},
	doi = {10.1214/ECP.v15-1586},    
        url = {http://ecp.ejpecp.org/article/view/1586}}