An Introduction to Random Interlacements

Language: English

Published by Springer, Palgrave Macmillan Mai 2014, 2014

3319058517 / 9783319058511

Series: Book 45 of 155 - SpringerBriefs in Mathematics

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This item is printed on demand - Print on Demand Titel. Neuware -Thisbook 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 introduced by Sznitman in 2007 in order to describe the local picture left by the trace of a random walk on a large discrete torus when it runs up to times proportional to the volume of the torus. Random interlacements is a new percolation model on the d-dimensional lattice. The main results covered by the book include the full proof of the local convergence of random walk trace on the torus to random interlacements and the full proof of the percolation phase transition of the vacant set of random interlacements in all dimensions. The reader will become familiar with the techniques relevant to working with the underlying Poisson Process and the method of multi-scale renormalization, which helps in overcoming the challenges posed by the long-range correlations present in the model. The aim is to engage the reader in the world of random interlacements by means of detailed explanations, exercises and heuristics. Each chapter ends with short survey of related results with up-to date pointers to the literature.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 132 pp. Englisch.

Seller Inventory # 9783319058511

Title
An Introduction to Random Interlacements
Author
Alexander Drewitz
Publisher
Springer, Palgrave Macmillan Mai 2014
Publication year
2014
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3319058517
ISBN 13
9783319058511
Item weight
213 grams
Dimensions
235x155x8 mm
Series
Book 45 of 155: SpringerBriefs in Mathematics

buchversandmimpf2000

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