Percolation

著者

• Grimmett, Geoffrey

書誌事項

Percolation

Geoffrey Grimmett

（Die Grundlehren der mathematischen Wissenschaften, 321）

Springer, c1999

2nd ed

• : pbk

注記

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

内容説明・目次

内容説明

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.

目次

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.

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詳細情報

• NII書誌ID(NCID): BA41394997
• ISBN:
  • 9783540649021
  • 9783642084423
• LCCN: 99021041
• 出版国コード: gw
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Berlin ; New York
• ページ数/冊数: xiii, 444 p.
• 大きさ: 24 cm
• 分類:
  • LCC : QC174.85.P45
  • DC21 : 530.13
• 件名:
  • LCSH : Percolation (Statistical physics)
• 親書誌ID:
  • BA00007422