Spreading rumours in Euclidean space

Authors:
Dieter Fiems;Koen De Turck
Affiliations:
Ghent University, Belgium;Ghent University, Belgium
Venue:
ACM SIGMETRICS Performance Evaluation Review - Special issue on the 31st international symposium on computer performance, modeling, measurements and evaluation (IFIPWG 7.3 Performance 2013)
Year:
2013

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Abstract

This paper considers the process of spreading rumours in Euclidean space. The rumour (or epidemic) process under study includes (i) a discrete-time stochastic arrival process of new spatially distributed rumours and (ii) a stochastic process of linear transformations of the current rumours which allows for modelling mobility as well as dispersion of rumours. Inspired by linear filtering theory, an affine stochastic recursion in characteristic-function space is studied and numerical transform inversion is used to study the distribution of rumours in space.