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A local limit theorem for the critical random graph

  
@article{ECP1451,
	author = {Remco van der Hofstad and Wouter Kager and Tobias Müller},
	title = {A local limit theorem for the critical random graph},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {14},
	year = {2009},
	keywords = {Random graphs},
	abstract = {We consider the limit distribution of the orders of the $k$ largest components in the Erdos-Rényi random graph inside the "critical window" for arbitrary $k$. We prove a local limit theorem for this joint distribution and derive an exact expression for the joint probability density function.},
	pages = {no. 12, 122-131},
	issn = {1083-589X},
	doi = {10.1214/ECP.v14-1451},    
        url = {http://ecp.ejpecp.org/article/view/1451}}