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Grundlehren Der Mathematischen Wissenschaften #321: Percolation

Grundlehren Der Mathematischen Wissenschaften #321: Percolation Cover

 

Synopses & Reviews

Publisher Comments:

Percolation theory is the study of an idealized random medium in two or more dimensions. The emphasis of this book is upon core mathematical material and the presentation of the shortest and most accessible proofs. Much new material appears in this second edition including dynamic and static renormalization, strict inequalities between critical points, a sketch of the lace expansion, and several essays on related fields and applications.

Description:

Includes bibliographical references (p. [404]-433) and indexes .

Table of Contents

What is Percolation?- Some Basic Techniques.- Critical Probabilities.- The Number of Open Clusters per Vertex.- Exponential Decay.- The Subcritical Phase.- Dynamic and Static Renormalization.- The Supercritical Phase.- Near the Critical Point: Scaling Theory.- Near the Critical Point: Rigorous Results.- Bond Percolation in Two Dimensions.- Extensions of Percolation.- Percolative Systems.

Product Details

ISBN:
9783540649021
Author:
Grimmett, Geoffrey
Author:
Grimmett, G.
Author:
Grimmett, Geoffrey R.
Publisher:
Springer
Location:
Berlin, Heidelberg
Subject:
General
Subject:
Physics
Subject:
Probability
Subject:
Mathematical Physics
Subject:
Percolation (Statistical physics)
Subject:
Percolation
Subject:
Probability & Statistics - General
Subject:
Statistics
Subject:
cubic lattice
Subject:
Probability Theory and Stochastic Processes
Subject:
Theoretical, Mathematical and Computational Physics
Subject:
Combinatorics
Subject:
Physics-General
Subject:
Mathematics
Subject:
Language, literature and biography
Subject:
mathematics and statistics
Subject:
Distribution (Probability theory)
Copyright:
Edition Number:
2
Edition Description:
2nd ed. 1999
Series:
Grundlehren Der Mathematischen Wissenschaften
Series Volume:
321
Publication Date:
19990611
Binding:
HARDCOVER
Language:
English
Illustrations:
Yes
Pages:
460
Dimensions:
235 x 155 mm 1820 gr

Related Subjects

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Science and Mathematics » Mathematics » Probability and Statistics » Statistics
Science and Mathematics » Mathematics » Topology
Science and Mathematics » Physics » General

Grundlehren Der Mathematischen Wissenschaften #321: Percolation
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Product details 460 pages Springer-Verlag - English 9783540649021 Reviews:
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