A random model of publication activity

A random model of publication activity

We examine a random structure consisting of objects with positive weights and evolving in discrete time steps. It generalizes certain random graph models. We prove almost sure convergence for the weight distribution and show scale-free asymptotic behaviour. Martingale theory and renewal-like equatio...

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Veröffentlicht in:Discrete Applied Mathematics 2014-01, Vol.162, p.78-89
Hauptverfasser: Backhausz, Agnes, Mori, Tamas
Format: Artikel
Sprache:eng
Schlagworte:
Asymptotic properties
Convergence
Documents
Graphs
Martingales
Mathematical analysis
Mathematical models
Proving
Random graphs
Renewal equation
Scale free
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Beschreibung
Zusammenfassung:We examine a random structure consisting of objects with positive weights and evolving in discrete time steps. It generalizes certain random graph models. We prove almost sure convergence for the weight distribution and show scale-free asymptotic behaviour. Martingale theory and renewal-like equations are used in the proofs.
ISSN:0166-218X
1872-6771
DOI:10.1016/j.dam.2013.08.034