Continuum Percolation

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Paperback | 15 May 2008

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252 Pages

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22.86 x 15.24 x 1.45

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Many phenomena in physics, chemistry, and biology can be modelled by spatial random processes. One such process is continuum percolation, which is used when the phenomenon being modelled is made up of individual events that overlap, for example, the way individual raindrops eventually make the ground evenly wet. This is a systematic rigorous account of continuum percolation. Two models, the Boolean model and the random connection model, are treated in detail, and related continuum models are discussed. All important techniques and methods are explained and applied to obtain results on the existence of phase transitions, equality and continuity of critical densities, compressions, rarefaction, and other aspects of continuum models. This self-contained treatment, assuming only familiarity with measure theory and basic probability theory, will appeal to students and researchers in probability and stochastic geometry.

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"This book is a timely synthesis of the developments in an interesting field. The approach...remains user friendly because of the excellent style and organization. The main arguments are fully explained so as to make the book self-contained. It should be very helpful for new reseachers in the area. Those with interests in related areas such as stochastic geometry and lattice percolation will appreciate having access to such a well-written account of this topic." Matthew D. Penrose, Mathematical Reviews

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Preface
Introduction
Basic methods
Occupancy in Poisson Boolean models
Vacancy in Poisson Boolean models
Distinguishing features of the Poisson Boolean model
The Poisson random-connection model
Models driven by general processes
Other continuum percolation models
References
Index
Table of Contents provided by Publisher. All Rights Reserved.

Continuum Percolation

At a Glance

Paperback

Industry Reviews

Shipping

How to return your order

Defective items

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