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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Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Drewitz, Alexander (Author), Ráth, Balázs (Author), Sapozhnikov, Artëm (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Cham : Springer International Publishing : Imprint: Springer, 2014.
Edition:1st ed. 2014.
Series:SpringerBriefs in Mathematics,
Subjects:
Probabilities.
Operations research.
Management science.
Mathematics.
Probability Theory.
Operations Research, Management Science .
Applications of Mathematics.
Online Access:Texto Completo
Table of Contents:
  • 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.

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