Research Catalog

Title

Continuum percolation / Ronald Meester, Rahul Roy.

Author

Meester, Ronald

Publication

Cambridge ; New York : Cambridge University Press, 1996.

Items in the Library & Off-site

Holdings

Details

Additional Authors

Roy, Rahul

Description

x, 238 p. : ill.; 24 cm.

Summary

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.

Series Statement

Cambridge tracts in mathematics ; 119

Uniform Title

Cambridge tracts in mathematics 119.

Subject

• Percolation (Statistical physics)
• Stochastic processes

Bibliography (note)

• Includes bibliographical references (p. 233-235) and index.

Processing Action (note)

• committed to retain

ISBN

052147504X (hc)

LCCN

^^^95040924^

OCLC

33102408

Owning Institutions

Harvard Library