An Introduction to Random Interlacements
This book gives a self-contained introduction to the theory of random interlacements. The intended reader of the book is a graduate student with a background in probability theory who wants to learn about the fundamental results and methods of this rapidly emerging field of research. The model was i...
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| Main Authors: | , , |
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| 企业作者: | |
| 格式: | 电子 电子书 |
| 语言: | English |
| 出版: |
Cham :
Springer International Publishing : Imprint: Springer,
2014.
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| 版: | 1st ed. 2014. |
| 丛编: | SpringerBriefs in Mathematics,
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| 主题: | |
| 在线阅读: | https://doi.org/10.1007/978-3-319-05852-8 |
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书本目录:
- Random Walk, Green Function, Equilibrium Measure
- Random Interlacements: First Definition and Basic Properties.- Random Walk on the Torus and Random Interlacements.- Poisson Point Processes.- Random Interlacements Point Process.- Percolation of the Vacant Set.- Source of Correlations and Decorrelation via Coupling.- Decoupling Inequalities
- Phase Transition of Vu
- Coupling of Point Measures of Excursions.