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 Electronic Communications in Probability > Vol. 14 (2009) > Paper 12 open journal systems 


A local limit theorem for the critical random graph

Remco W van der Hofstad, Technische Universiteit Eindhoven
Wouter Kager, VU University
Tobias Müller, Tel Aviv University


Abstract
We consider the limit distribution of the orders of the k largest components in the Erdös-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.


Full text: PDF

Pages: 122-131

Published on: February 19, 2009
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Electronic Communications in Probability. ISSN: 1083-589X