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.
| ISBN: | 9783662515396 |
| Publication date: | 17th September 2016 |
| Author: | Wei Chen |
| Publisher: | Springer an imprint of Springer Berlin Heidelberg |
| Format: | Paperback |
| Pagination: | 63 pages |
| Series: | Springer Theses |
| Genres: |
Probability and statistics Stochastics Numerical analysis Mathematical physics |
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.
Explosive Percolation in Random Networks features in the following genres: Probability and statistics, Stochastics, Numerical analysis, Mathematical physics
Explosive Percolation in Random Networks is available in Paperback, Hardback
Explosive Percolation in Random Networks was written by Wei Chen and published by Springer an imprint of Springer Berlin Heidelberg
Explosive Percolation in Random Networks has 63 pages
Yes it is part of Springer Theses series