Journal article
A central limit theorem for the gossip process
AD Barbour, Adrian Rollin
ELECTRONIC JOURNAL OF PROBABILITY | UNIV WASHINGTON, DEPT MATHEMATICS | Published : 2018
DOI: 10.1214/18-EJP248
Abstract
The Aldous gossip process represents the dissemination of information in geographical space as a process of locally deterministic spread, augmented by random long range transmissions. Starting from a single initially informed individual, the proportion of individuals informed follows an almost deterministic path, but for a random time shift, caused by the stochastic behaviour in the very early stages of development. In this paper, it is shown that, even with the extra information available after a substantial development time, this broad description remains accurate to first order. However, the precision of the prediction is now much greater, and the random time shift is shown to have an app..
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Grants
Awarded by Australian Research Council
Awarded by NUS Research Grant
Funding Acknowledgements
[ "Work begun while ADB was Saw Swee Hock Professor of Statistics at the National University of Singapore, and supported in part by Australian Research Council Grants Nos DP120102728, DP120102398, DP150101459 and DP150103588.", "AR was supported in part by NUS Research Grant R-155-000-167-112 and Australian Research Council Grant No. DP150101459." ]