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＜電子ブック＞
Explosive Percolation in Random Networks / by Wei Chen
(Springer Theses, Recognizing Outstanding Ph.D. Research. ISSN:21905061)

版	1st ed. 2014.
出版者	Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
出版年	2014
本文言語	英語
大きさ	XV, 63 p. 22 illus., 9 illus. in color : online resource
著者標目	*Chen, Wei author SpringerLink (Online service)
件　名	LCSH:Probabilities LCSH:Numerical analysis LCSH:Mathematical physics FREE:Probability Theory FREE:Numerical Analysis FREE:Mathematical Physics
一般注記	Introduction -- Discontinuous Explosive Percolation with Multiple Giant Components -- Deriving An Underlying Mechanism for Discontinuous Percolation Transitions -- Continuous Phase Transitions in Supercritical Explosive Percolation -- Unstable Supercritical Discontinuous Percolation Transitions -- Algorithm of percolation models This thesis is devoted to the study of the Bohman-Frieze-Wormald percolation model, which exhibits a discontinuous transition at the critical threshold, while the phase transitions in random networks are originally considered to be robust continuous phase transitions. The underlying mechanism that leads to the discontinuous transition in this model is carefully analyzed and many interesting critical behaviors, including multiple giant components, multiple phase transitions, and unstable giant components are revealed. These findings should also be valuable with regard to applications in other disciplines such as physics, chemistry and biology HTTP:URL=https://doi.org/10.1007/978-3-662-43739-1

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