Explosive Percolation in Random Networks

Wei Chen (Autor)

Buch | Softcover

XV, 63 Seiten

2016
Springer Berlin (Verlag)
978-3-662-51539-6 (ISBN)

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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.

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.

Erscheinungsdatum	23.09.2016
Reihe/Serie	Springer Theses
Zusatzinfo	XV, 63 p. 22 illus., 9 illus. in color.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
Schlagworte	Bohman-Frieze-Wormald model • complex networks • critical threshold • explosive percolation • giant connected component • hybrid percolation transition • Mathematical Applications in the Physical Sciences • Mathematical Modelling • Mathematics • mathematics and statistics • Numerical analysis • phase transition • probability and statistics • Probability theory and stochastic processes • random graph • stochastics • supercritical percolation
ISBN-10	3-662-51539-3 / 3662515393
ISBN-13	978-3-662-51539-6 / 9783662515396
Zustand	Neuware