Explosive Percolation in Random Networks
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.

1119478064
Explosive Percolation in Random Networks
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.

109.99 In Stock
Explosive Percolation in Random Networks

Explosive Percolation in Random Networks

by Wei Chen
Explosive Percolation in Random Networks

Explosive Percolation in Random Networks

by Wei Chen

Hardcover(2014)

$109.99 
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Overview

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.


Product Details

ISBN-13: 9783662437384
Publisher: Springer Berlin Heidelberg
Publication date: 07/16/2014
Series: Springer Theses
Edition description: 2014
Pages: 63
Product dimensions: 6.10(w) x 9.25(h) x 0.01(d)

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.
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