Continuum Percolation
Continuum Percolation
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Summary
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.
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Continuum Percolation by Ronald Meester
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.
This book is a timely synthesis of the developments in an interesting fieldThe 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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| SKU | Unavailable |
| ISBN 13 | 9780521062503 |
| ISBN 10 | 0521062500 |
| Title | Continuum Percolation |
| Author | Ronald Meester |
| Series | Cambridge Tracts In Mathematics |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Cambridge University Press |
| Year published | 2008-05-15 |
| Number of pages | 252 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |