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Continuum percolation

Meester, Ronald.

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Continuum percolation

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Continuum percolation/ Ronald Meester, Rahul Roy.
作者:	Meester, Ronald.
其他作者:	Roy, Rahul.
出版者:	Cambridge :Cambridge University Press, : 1996.,
面頁冊數:	x, 238 p. :ill., digital ;24 cm.
附註:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
內容註:	1. Introduction -- 2. Basic methods -- 3. Occupancy and Poisson Boolean models -- 4. Vacancy in Poisson Boolean models -- 5. Distinguishing features of the Poisson Boolean model -- 6. The Poisson random-connection model -- 7. Models driven by general processes -- 8. Other continuum percolation models.
標題:	Percolation (Statistical physics) -
電子資源:	https://doi.org/10.1017/CBO9780511895357
ISBN:	9780511895357

Continuum percolation
Meester, Ronald.

Continuum percolation[electronic resource] /Ronald Meester, Rahul Roy. - Cambridge :Cambridge University Press,1996. - x, 238 p. :ill., digital ;24 cm. - Cambridge tracts in mathematics ;119. - Cambridge tracts in mathematics ;119..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

1. Introduction -- 2. Basic methods -- 3. Occupancy and Poisson Boolean models -- 4. Vacancy in Poisson Boolean models -- 5. Distinguishing features of the Poisson Boolean model -- 6. The Poisson random-connection model -- 7. Models driven by general processes -- 8. Other continuum percolation models.

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.

ISBN: 9780511895357Subjects--Topical Terms:

711497
Percolation (Statistical physics)

LC Class. No.: QC174.85.P45 / M44 1996

Dewey Class. No.: 530.13

Continuum percolation
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