A random model of publication activity

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2014Embargo end date: 01 Apr 2011 English Publisher:Elsevier BVJournal:Discrete Applied Mathematics, volume 162, pages 78-89 (issn: 0166-218X,

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Authors: Ágnes Backhausz; Tamás F. Móri;

doi: 10.1016/j.dam.2013.08.034 , 10.48550/arxiv.1104.1026

arXiv: 1104.1026

A random model of publication activity

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Abstract

We examine a random model consisting of objects with positive weights and evolving in discrete time steps, which 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.

v5: Minor error in Lemma 1 corrected

Related Organizations

Eötvös Loránd University
Hungary

Keywords

martingales, Applications of graph theory, Martingales and classical analysis, Probability (math.PR), Random graphs (graph-theoretic aspects), renewal equation, FOS: Mathematics, random graphs, Mathematics - Probability

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