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Continuum Percolation by Ronald Meester
Book DescriptionMany 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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Book DetailsISBN: 9780521062503
(228mm x 152mm x 15mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 15-May-2008
Country of Publication: United Kingdom
Books By Author Ronald Meester
Random Networks for Communication, Hardback (January 2008)
The first rigorous introduction for graduate students and scientists to techniques and problems motivated by wireless data networks.
Continuum Percolation, Hardback (June 1996)» View all books by Ronald Meester
A unified treatment of a spatial random process that can be used to model many natural phenomena.
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