Gabrielli, Andrea and Caldarelli, Guido Invasion percolation and the time scaling behavior of a queuing model of human dynamics. Journal of Statistical Mechanics: Theory and Experiment, 2009 (02). P02046. ISSN 1742-5468 (2009)
Full text not available from this repository.Abstract
In this paper we study the properties of the Barabási model of queuing under the hypothesis that the number of tasks is steadily growing in time. We map this model exactly onto an invasion percolation dynamics on a Cayley tree. This allows us to recover the correct waiting time distribution PW(τ)~τ−3/2 at the stationary state (as observed in different realistic data) and also to characterize it as a sequence of causally and geometrically connected bursts of activity. We also find that the approach to stationarity is very slow.
| Item Type: | Article |
|---|---|
| Identification Number: | 10.1088/1742-5468/2009/02/P02046 |
| Uncontrolled Keywords: | diffusion; percolation problems (theory); growth processes; stochastic processes (theory) |
| Subjects: | H Social Sciences > HA Statistics Q Science > QC Physics |
| Research Area: | Economics and Institutional Change |
| Depositing User: | Ms T. Iannizzi |
| Date Deposited: | 25 Jan 2012 13:47 |
| Last Modified: | 25 Jan 2012 13:47 |
| URI: | http://eprints.imtlucca.it/id/eprint/1078 |
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