Springer Theses

Explosive Percolation in Random Networks

Authors: Chen, Wei

  • 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
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eBook $69.99
price for USA (gross)
  • ISBN 978-3-662-43739-1
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Hardcover $99.99
price for USA
  • ISBN 978-3-662-43738-4
  • Free shipping for individuals worldwide
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Softcover $99.99
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: November 4, 2016
  • ISBN 978-3-662-51539-6
  • Free shipping for individuals worldwide
Rent the ebook  
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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.

Table of contents (5 chapters)

  • Introduction

    Chen, Wei

    Pages 1-8

  • Discontinuous Explosive Percolation with Multiple Giant Components

    Chen, Wei

    Pages 9-16

  • Deriving an Underlying Mechanism for Discontinuous Percolation Transitions

    Chen, Wei

    Pages 17-27

  • Continuous Phase Transitions in Supercritical Explosive Percolation

    Chen, Wei

    Pages 29-45

  • Unstable Supercritical Discontinuous Percolation Transitions

    Chen, Wei

    Pages 47-60

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-3-662-43739-1
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $99.99
price for USA
  • ISBN 978-3-662-43738-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $99.99
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: November 4, 2016
  • ISBN 978-3-662-51539-6
  • Free shipping for individuals worldwide
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Explosive Percolation in Random Networks
Authors
Series Title
Springer Theses
Copyright
2014
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-662-43739-1
DOI
10.1007/978-3-662-43739-1
Hardcover ISBN
978-3-662-43738-4
Softcover ISBN
978-3-662-51539-6
Series ISSN
2190-5053
Edition Number
1
Number of Pages
XV, 63
Number of Illustrations and Tables
13 b/w illustrations, 9 illustrations in colour
Topics