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Local limits of conditioned Galton-Watson trees: the condensation case

   
@article{EJP3164,
	author = {Romain Abraham and Jean-François Delmas},
	title = {Local limits of conditioned Galton-Watson trees: the condensation case},
	journal = {Electron. J. Probab.},
	fjournal = {Electronic Journal of Probability},
	volume = {19},
	year = {2014},
	keywords = {Galton-Watson, random tree, condensation, non-extinction,   branching process},
	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.},
	pages = {no. 56, 1-29},
	issn = {1083-6489},
	doi = {10.1214/EJP.v19-3164},    
        url = {http://ejp.ejpecp.org/article/view/3164}}