東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Continuum percolation

Meester, Ronald.

Linked to FindBook

Google Book

Amazon

博客來

Continuum percolation

Record Type:	Electronic resources : Monograph/item
Title/Author:	Continuum percolation/ Ronald Meester, Rahul Roy.
Author:	Meester, Ronald.
other author:	Roy, Rahul.
Published:	Cambridge :Cambridge University Press, : 1996.,
Description:	x, 238 p. :ill., digital ;24 cm.
Notes:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
[NT 15003449]:	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.
Subject:	Percolation (Statistical physics) -
Online resource:	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
LDR:02155nmm a2200289 a 4500 001 2227156
003 UkCbUP
005 20151005020622.0
006 m d
007 cr nn 008maaau
008 210414s1996 enk o 1 0 eng d
020 $a 9780511895357 $q (electronic bk.)
020 $a 9780521475044 $q (hardback)
020 $a 9780521062503 $q (paperback)
035 $a CR9780511895357
040 $a UkCbUP $b eng $c UkCbUP $d GP
041 0 $a eng
050 4 $a QC174.85.P45 $b M44 1996
082 0 4 $a 530.13 $2 20
090 $a QC174.85.P45 $b M495 1996
100 1 $a Meester, Ronald. $3 753013
245 1 0 $a Continuum percolation $h [electronic resource] / $c Ronald Meester, Rahul Roy.
260 $a Cambridge : $b Cambridge University Press, $c 1996.
300 $a x, 238 p. : $b ill., digital ; $c 24 cm.
490 1 $a Cambridge tracts in mathematics ; $v 119
500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 $a 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.
520 $a 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.
650 0 $a Percolation (Statistical physics) $3 711497
650 0 $a Stochastic processes. $3 520663
700 1 $a Roy, Rahul. $3 753012
830 0 $a Cambridge tracts in mathematics ; $v 119. $3 3470419
856 4 0 $u https://doi.org/10.1017/CBO9780511895357