Continuum Percolation (Hardcover, New)

This book is the first systematic and rigorous account of continuum percolation. The authors treat two models, the Boolean model and the random connection model, in detail and discuss a number of related continuum models. Where appropriate, they make clear connections between discrete percolation and continuum percolation. All important techniques and methods are explained and applied to obtain results on the existence of phase transitions, equality of certain critical densities, continuity of critical densities with respect to distributions, uniqueness of the unbounded component, covered volume fractions, compression, rarefaction, and so on. The book is self-contained, assuming familiarity only with measure theory and basic probability theory. The approach makes use of simple ergodic theory, but the underlying geometric ideas are always made clear. Continuum Percolation will appeal to students and researchers in probability and stochastic geometry.

General

Imprint:	Cambridge UniversityPress
Country of origin:	United Kingdom
Series:	Cambridge Tracts in Mathematics
Release date:	June 1996
First published:	1996
Authors:	Ronald Meester • Rahul Roy
Dimensions:	236 x 160 x 22mm (L x W x T)
Format:	Hardcover
Pages:	252
Edition:	New
ISBN-13:	978-0-521-47504-4
Categories:	Books > Science & Mathematics > Physics > Thermodynamics & statistical physics > Statistical physics Promotions
LSN:	0-521-47504-X
Barcode:	9780521475044

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