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Continuum Percolation

Continuum Percolation

Hardcover

Series: Cambridge Tracts in Mathematics, Book 119

PhysicsProbability & Statistics

ISBN10: 052147504X
ISBN13: 9780521475044
Publisher: Cambridge University Press
Published: Jun 13 1996
Pages: 252
Weight: 1.17
Height: 0.89 Width: 6.21 Depth: 9.18
Language: English
Many phenomena in physics, chemistry, and biology can be modeled by spatial random processes. One such process is continuum percolation, which is used when the phenomenon being modeled is made up of individual events that overlap e.g., individual raindrops that eventually make the ground evenly wet. This is a systematic, rigorous account of continuum percolation. The authors treat two models, the Boolean model and the random connection model, in detail, and they discuss related continuum models. Meester and Roy explain all important techniques and methods and apply them to obtain results on the existence of phase transitions, equality and continuity of critical densities, compressions, rarefaction, and other aspects of continuum models.

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