Explosive Percolation in Random Networks

Nonfiction, Science & Nature, Mathematics, Number Systems, Statistics
Cover of the book Explosive Percolation in Random Networks by Wei Chen, Springer Berlin Heidelberg
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Author: Wei Chen ISBN: 9783662437391
Publisher: Springer Berlin Heidelberg Publication: July 15, 2014
Imprint: Springer Language: English
Author: Wei Chen
ISBN: 9783662437391
Publisher: Springer Berlin Heidelberg
Publication: July 15, 2014
Imprint: Springer
Language: English

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.

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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.

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