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Title of Journal: J Stat Phys

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Abbravation: Journal of Statistical Physics

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Springer US

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DOI

10.1007/bf00900167

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1572-9613

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FiniteTime Fluctuations in the Degree Statistics

Authors: C Godrèche H Grandclaude J M Luck
Publish Date: 2009/10/27
Volume: 137, Issue: 5-6, Pages: 1117-
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Abstract

This paper presents a comprehensive analysis of the degree statistics in models for growing networks where new nodes enter one at a time and attach to one earlier node according to a stochastic rule The models with uniform attachment linear attachment the BarabásiAlbert model and generalized preferential attachment with initial attractiveness are successively considered The main emphasis is on finitesize ie finitetime effects which are shown to exhibit different behaviors in three regimes of the sizedegree plane stationary finitesize scaling large deviations

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