Explosive Percolation in Random Networks

• Main Author: Chen, Wei (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2014.
• Series: Springer Theses, Recognizing Outstanding Ph.D. Research,
• Subjects: Mathematics.; Mathematical physics.; Numerical analysis.; Probabilities.; Probability Theory and Stochastic Processes.; Numerical Analysis.; Mathematical Applications in the Physical Sciences.

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 l...

Table of Contents:

• 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.