ENGLISH

Continuum percolation

By Ronald Meester , Rahul Roy

Book information

Publisher
Cambridge University Press
Year
1996
ISBN
052147504X, 9780521475044
LCC
QC174.85.P45 M44 1996
Open Library ID
OL804414M
Language
english
Format
DJVU
Filesize
2 MB (2577596 bytes)
Series
Cambridge tracts in mathematics 119
Pages
246\246
Topic
Physics
Library
kolxoz
DPI
300
Scanned
yes
Time added
2009-07-20 03:45:11

Description

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 the 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 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 only familiarity with measure theory and basic probability theory. The approach makes use of simple ergodic theory, but the underlying geometric ideas are always made clear.

Similar books