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Local limits of conditioned Galton-Watson trees II: the condensation case
- Source :
- Electronic Journal of Probability 56 (2014) Article 56, p 1-29
- Publication Year :
- 2013
-
Abstract
- We provide a complete picture of the local convergence of critical or subcritical Galton-Watson tree conditioned on having a large number of individuals with out-degree in a given set. The generic case, where the limit is a random tree with an infinite spine has been treated in a previous paper. We focus here on the non-generic case, where the limit is a random tree with a node with infinite out-degree. This case corresponds to the so-called condensation phenomenon.
- Subjects :
- Mathematics - Probability
Subjects
Details
- Database :
- arXiv
- Journal :
- Electronic Journal of Probability 56 (2014) Article 56, p 1-29
- Publication Type :
- Report
- Accession number :
- edsarx.1311.6683
- Document Type :
- Working Paper