Gabrielli, Andrea and Caldarelli, Guido Invasion percolation and critical transient in the Barabási Model of human dynamics. Physical Review Letters, 98 (20). ISSN 0031-9007 (2007)
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Abstract
We introduce an exact probabilistic description for L=2 of the Barabási model for the dynamics of a list of L tasks. This permits us to study the problem out of the stationary state and to solve explicitly the extremal limit case where a critical behavior for the waiting time distribution is observed. This behavior deviates at any finite time from that of the stationary state. We study also the characteristic relaxation time for finite time deviations from stationarity in all cases showing that it diverges in the extremal limit, confirming that these deviations are important at all time.
| Item Type: | Article |
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| Identification Number: | https://doi.org/10.1103/PhysRevLett.98.208701 |
| Additional Information: | © 2007 American Physical Society |
| Uncontrolled Keywords: | PACS: 89.75.Da, 02.50.Le, 64.60.Ak, 89.65.Ef |
| Subjects: | Q Science > QC Physics Q Science > QH Natural history |
| Research Area: | Economics and Institutional Change |
| Depositing User: | Ms T. Iannizzi |
| Date Deposited: | 26 Jan 2012 14:19 |
| Last Modified: | 05 Dec 2014 09:24 |
| URI: | http://eprints.imtlucca.it/id/eprint/1086 |
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