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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: Drewitz, Alexander. (Author, http://id.loc.gov/vocabulary/relators/aut), Ráth, Balázs. (http://id.loc.gov/vocabulary/relators/aut), Sapozhnikov, Artëm. (http://id.loc.gov/vocabulary/relators/aut)
Corporate Author: SpringerLink (Online service)
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2014.
Edition:1st ed. 2014.
Series:SpringerBriefs in Mathematics,
Subjects:
Probabilities.
Operations research.
Management science.
Applied mathematics.
Engineering mathematics.
Probability Theory and Stochastic Processes.
Operations Research, Management Science.
Applications of Mathematics.
Online Access:https://doi.org/10.1007/978-3-319-05852-8
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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