Explosive Percolation in Random Networks

2014
ISBN: 978-3-662-43738-4
Verlag: Springer

Buch, Englisch, 63 Seiten, HC runder Rücken kaschiert, Format (B × H): 160 mm x 241 mm, Gewicht: 295 g

Reihe: Springer Theses

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.

Zielgruppe

Research

Autoren/Hrsg.

Chen, Wei

Fachgebiete

• Mathematik | Informatik Mathematik Stochastik Wahrscheinlichkeitsrechnung
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik

Inhaltsverzeichnis

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.