Journal
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
Volume 361, Issue 1, Pages 329-336Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physa.2005.06.079
Keywords
complex systems; scaling laws; stochastic processes; random processes
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Arrival times of requests to print in a student laboratory were analyzed. Inter-arrival times between subsequent requests follow a universal scaling law relating time intervals and the size of the request, indicating a scale invariant dynamics with respect to the size. The cumulative distribution of file sizes is well-described by a modified power-law often seen in nonequilibrium critical systems. For each user, waiting times between their individual requests show long range dependence and are broadly distributed from seconds to weeks. All results are incompatible with Poisson models, and may provide evidence of critical dynamics associated with voluntary thought processes in the brain. (c) 2005 Elsevier B.V. All rights reserved.
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