Exact results for the Barabasi queuing model

Details Exact results for the Barabasi queuing model Exact results for the Barabasi queuing model

2009-07-27

arxiv.org/abs/0907.4687v1

Phys Rev E 80, 041131 (2009)

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

Previous works on the queuing model introduced by Barab\'asi to account for the heavy tailed distributions of the temporal patterns found in many human activities mainly concentrate on the extremal dynamics case and on lists of only two items. Here we obtain exact results for the general case with arbitrary values of the list length $L$ and of the degree of randomness that interpolates between the deterministic and purely random limits. The statistically fundamental quantities are extracted from the solution of master equations. From this analysis, new scaling features of the model are uncovered.

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