How to cite item

A note on the scaling limits of contour functions of Galton-Watson trees

   
@article{ECP2781,
	author = {Hui He and Nana Luan},
	title = {A note on the scaling limits of contour functions of Galton-Watson trees},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {18},
	year = {2013},
	keywords = {Galton-Watson trees; Branching processes; L\'evy trees; contour functions; scaling limit},
	abstract = {Recently, Abraham and Delmas constructed the distributions of super-critical Lévy trees truncated at a fixed height by connecting super-critical Lévy trees to (sub)critical Lévy trees via a martingale transformation. A similar relationship also holds for discrete Galton-Watson trees. In this work, using the existing works on the convergence of contour functions of (sub)critical trees, we prove that the contour functions of truncated super critical Galton-Watson trees converge weakly to the distributions constructed by Abraham and Delmas.},
	pages = {no. 79, 1-13},
	issn = {1083-589X},
	doi = {10.1214/ECP.v18-2781},    
        url = {http://ecp.ejpecp.org/article/view/2781}}