Open Access
2010 Random interlacements on Galton-Watson Trees
Martin Tassy
Author Affiliations +
Electron. Commun. Probab. 15: 562-571 (2010). DOI: 10.1214/ECP.v15-1586


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.


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Martin Tassy. "Random interlacements on Galton-Watson Trees." Electron. Commun. Probab. 15 562 - 571, 2010.


Accepted: 21 November 2010; Published: 2010
First available in Project Euclid: 6 June 2016

zbMATH: 1226.60121
MathSciNet: MR2737713
Digital Object Identifier: 10.1214/ECP.v15-1586

Primary: 60J80
Secondary: 60K35 , 60K37

Keywords: critical behaviour , Galton-Watson tree , Random interlacement

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