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  • 音像逾渗(第2版)(英)格里密特
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    • 作者: (英)格里密特著 | (英)格里密特编 | (英)格里密特译 | (英)格里密特绘
    • 出版社: 世界图书出版公司
    • 出版时间:2012-08-01
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  • 商品参数
    • 作者: (英)格里密特著| (英)格里密特编| (英)格里密特译| (英)格里密特绘
    • 出版社:世界图书出版公司
    • 出版时间:2012-08-01
    • 版次:1
    • 印次:1
    • 印刷时间:2012-08-01
    • ISBN:9787510046292
    • 版权提供:世界图书出版公司
    • 作者:(英)格里密特
    • 著:(英)格里密特
    • 装帧:暂无
    • 印次:1
    • 定价:69.00
    • ISBN:9787510046292
    • 出版社:世界图书出版公司
    • 开本:暂无
    • 印刷时间:2012-08-01
    • 语种:暂无
    • 出版时间:2012-08-01
    • 页数:暂无
    • 外部编号:2401199
    • 版次:1
    • 成品尺寸:暂无

    1 What is Percolation?
    1.1 Modelling a Random Medium
    1.2 Why Percolation?
    1.3 Bond Percolation
    1.4 The Critical Phenomenon
    1.5 The Main estions
    1.6 Site Percolation
    1.7 Notes
    2 Some Basic Techniques
    2.1 Increasing Events
    2.2 The FKG Inequality
    . The BK Inequality
    2.4 Russo's Formula
    2.5 Inequalities of Reliability Theory
    2.6 Another Inequality
    2.7 Notes
    3 Critical Probabilities
    3.1 Equalities and Inequalities
    3.2 Strict Inequalities
    3.3 Enhancements
    3.4 Bond and Site Critical Probabilities
    3.5 Notes
    4 The Number of Open Clusters per Vertex
    4.1 Definition
    4.2 Lattice Animals and Large Deviations
    4.3 Differentiability of K
    4.4 Notes
    5 Exponential Decay
    5.1 Mean Cluster Size
    5.2 Exponential Decay of the Radius Distribution beneath Pe
    5.3 Using Differential Inequalities
    5.4 Notes
    6 The Subcritical Phase
    6.1 The Radius of an Open Cluster
    6.2 Connectivity Functions and Correlation Lent 6.3 Exponential Decay of the Cluster Size Distribution
    6.4 Analyticity of K and X
    6.5 Notes
    7 Dynamic and Static Renormalization
    7.1 Percolation in Slabs
    7.2 Percolation of Blocks
    7.3 Percolation in Half-Spaces
    7.4 Static Renormalization
    7.5 Notes
    8 The Supercritical Phase
    8.1 Introduction
    8.2 Uniqueness of the Infinite Open Cluster
    8.3 Continuity of the Percolation Probability
    8.4 The Radius of a Finite Open Cluster
    8.5 Truncated Connectivity Functions and Correlation Lent 8.6 Sub-Exponential Decay of the Cluster Size Distribution
    8.7 Differentiability of
    8.8 Geometry of the Infinite Open Cluster
    8.9 Notes
    9 Near the Critical Point: Scaling Theory
    9.1 Power Laws and Critical Exponents
    9.2 Scaling Theory
    9.3 Renormalization
    9.4 The Inciin Ifinite Cluster
    9.5 Notes
    10 Near the Critical Point:Rigorous Results
    10.1 Percolation on a Tree
    10.2 Inequalities for Critical Exponents
    10.3 Mean Field Theory
    10.4 Notes
    11 Bond Percolation in Two Dimensions
    12 Extensions of Percolation
    13 Pereolative Systems
    Appendix Ⅰ The Infinite-Volume Limit for Percolation
    Appendix Ⅱ The Subadditive Inequality
    List of Notation
    References
    Index of Names
    Subject Index

    格里密特编著的《逾渗》内容介绍:Thisbookisaboutthemathematicsofpercolationtheory,withtheemphasisuponpresentingtheshortestrigorousproofsofthemainfacts.Ihavemadecertainsacrificesinordertomaximizetheaccessibilityofthetheory,andthemajoronehasbeentorestrictmyselfalmostentirelytothespecialcaseofbondpercolationonthecubiclatticeZd.Thusthereisonlylittlediscussionofsuchprocessesascontinuum,mixed,inhomogeneous,long-range,first-passage,andorientedpercolation.

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