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Yule process sample path asymptotics

  
@article{ECP1215,
	author = {Arnaud de La Fortelle},
	title = {Yule process sample path asymptotics},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {11},
	year = {2006},
	keywords = {Large deviations, random trees, branching process, fluid limit, Yule process, martingale, change of measure},
	abstract = {This paper presents two results on sample paths for the Yule process: one fluid limit theorem and one sample path large deviation result. The main interest is to understand the way large deviation occurs in the case of non-homogeneous processes. There are indeed two new phenomena. First there is no ``typical'' speed of large deviation. Second, the large deviation event is concentrated on a finite interval of time.},
	pages = {no. 20, 193-199},
	issn = {1083-589X},
	doi = {10.1214/ECP.v11-1215},    
        url = {http://ecp.ejpecp.org/article/view/1215}}