Continuum Percolation: 119 (Cambridge Tracts in Mathematics, Series Number 119) - Hardcover

Meester, Ronald; Roy, Rahul

Hardcover

ISBN 10: 052147504X ISBN 13: 9780521475044

Publisher: Cambridge University Press, 1996

Synopsis

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.

About this title

Review:

"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

Book Description:

This book presents a unified account of continuum percolation, a spatial random process that can be used to model many natural phenomena. The treatment is self-contained, assuming only familiarity with measure theory and basic probability theory. It will appeal to students and researchers in probability and stochastic geometry.

About this edition

• Publisher: Cambridge University Press
• Publication date: 1996
• ISBN 10: 052147504X
• ISBN 13: 9780521475044
• Binding: Hardcover
• Number of pages: 252