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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| Principais autores: | , , |
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| Autor Corporativo: | |
| Formato: | Recurso Eletrônico livro eletrônico |
| Idioma: | English |
| Publicado em: |
Cham :
Springer International Publishing : Imprint: Springer,
2014.
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| Edição: | 1st ed. 2014. |
| coleção: | SpringerBriefs in Mathematics,
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| Assuntos: | |
| Acesso em linha: | https://doi.org/10.1007/978-3-319-05852-8 |
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Sumário:
- 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.