Overview
- Nominated as an outstanding Ph.D. thesis by Peking University, Beijing, China The first to discover multiple giant components in a discontinuous percolation transition of random networks for the first time
- Presents the first discovery of hybrid of both continuous and discontinuous percolation transition in a networked system
- Reveals multiple giant components emerging in a percolation transition of a networked system
- Includes supplementary material: sn.pub/extras
Part of the book series: Springer Theses (Springer Theses)
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Table of contents (5 chapters)
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Front Matter
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Back Matter
Keywords
About this book
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.
Authors and Affiliations
Bibliographic Information
Book Title: Explosive Percolation in Random Networks
Authors: Wei Chen
Series Title: Springer Theses
DOI: https://doi.org/10.1007/978-3-662-43739-1
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2014
Hardcover ISBN: 978-3-662-43738-4Published: 28 July 2014
Softcover ISBN: 978-3-662-51539-6Published: 17 September 2016
eBook ISBN: 978-3-662-43739-1Published: 15 July 2014
Series ISSN: 2190-5053
Series E-ISSN: 2190-5061
Edition Number: 1
Number of Pages: XV, 63
Number of Illustrations: 13 b/w illustrations, 9 illustrations in colour
Topics: Probability Theory and Stochastic Processes, Numerical Analysis, Mathematical Applications in the Physical Sciences