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Continuum Percolation (Paperback): Ronald Meester, Rahul Roy Continuum Percolation (Paperback)
Ronald Meester, Rahul Roy
R1,513 Discovery Miles 15 130 Ships in 10 - 15 working days

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.

Continuum Percolation (Hardcover, New): Ronald Meester, Rahul Roy Continuum Percolation (Hardcover, New)
Ronald Meester, Rahul Roy
R3,794 R3,196 Discovery Miles 31 960 Save R598 (16%) Ships in 10 - 15 working days

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.

Me and My Granddaddy, My Granddaddy and Me (Paperback): Ricquell Goolsby Me and My Granddaddy, My Granddaddy and Me (Paperback)
Ricquell Goolsby; Illustrated by Rahul Roy
R358 R327 Discovery Miles 3 270 Save R31 (9%) Ships in 18 - 22 working days
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