Finite-time fluctuations in the degree statistics of growing networks
| Autor: | Godreche, C., Grandclaude, H., Luck, J. M. |
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| Rok vydání: | 2009 |
| Předmět: | |
| Zdroj: | J. Stat. Phys. 137, 1117 (2009) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/s10955-009-9847-5 |
| Popis: | This paper presents a comprehensive analysis of the degree statistics in models for growing networks where new nodes enter one at a time and attach to one earlier node according to a stochastic rule. The models with uniform attachment, linear attachment (the Barab\'asi-Albert model), and generalized preferential attachment with initial attractiveness are successively considered. The main emphasis is on finite-size (i.e., finite-time) effects, which are shown to exhibit different behaviors in three regimes of the size-degree plane: stationary, finite-size scaling, large deviations. Comment: 33 pages, 7 figures, 1 table |
| Databáze: | arXiv |
| Externí odkaz: |
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