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Percolation

  • Fester Einband
  • 444 Seiten
Percolation theory is the study of an idealized random medium in two or more dimensions. The mathematical theory is mature, and co... Weiterlesen
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Beschreibung

Percolation theory is the study of an idealized random medium in two or more dimensions. The mathematical theory is mature, and continues to give rise toproblems of special beauty and difficulty. Percolation is pivotal for studying more complex physical systems exhibiting phase transitions. The emphasis of this book is upon core mathematical material and the presentation of the shortest and most accessible proofs. The book is intended for graduate students and researchers in probability and mathematical physics. Almost no specialist knowledge is assumed. 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.

Inhalt

1 What is Percolation?.- 2 Some Basic Techniques.- 3 Critical Probabilities.- 4 The Number of Open Clusters per Vertex.- 5 Exponential Decay.- 6 The Subcritical Phase.- 7 Dynamic and Static Renormalization.- 8 The Supercritical Phase.- 9 Near the Critical Point: Scaling Theory.- 10 Near the Critical Point: Rigorous Results.- 11 Bond Percolation in Two Dimensions.- 12 Extensions of Percolation.- 13 Percolative Systems.- Appendix I. The Infinite-Volume Limit for Percolation.- Appendix II. The Subadditive Inequality.- List of Notation.- References.- Index of Names.

Produktinformationen

Titel: Percolation
Autor:
EAN: 9783540649021
ISBN: 978-3-540-64902-1
Format: Fester Einband
Herausgeber: Springer-Verlag GmbH
Genre: Theoretische Physik
Anzahl Seiten: 444
Gewicht: 846g
Größe: H241mm x B161mm x T32mm
Veröffentlichung: 01.01.1999
Jahr: 1999
Auflage: 2. A

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