点击选择搜索分类
首页 - 无线电导航- 正文
☆☆☆☆☆
||
[美] T·M·里戈特(Thomas M.Liggett) 著
出版社: 世界图书出版公司 ISBN:9787510058097 版次:1 商品编码:11310564 包装:平装 外文名称:Interacting Particle Systems 开本:24开 出版时间:2013-03-01 用纸:胶版纸 页数:496 正文语种:英文
Introduction
CHAPTER Ⅰ
The Construction, and Other General Results
1.Markov Processes and Their Semigroups
2.Semigroups and Their Generators
3.The Construction of Generators for Particle Systems
4.Applications of the Construction
5.The Martingale Problem
6.The Martingale Problem for Particle Systems
7.Examples
8.Notes and References
9.Open Problems
CHAPTER Ⅱ
Some Basic Tools
1.Coupling
2.Monotonicity and Positive Correlations
3.Duality
4.Relative Entropy
5.Reversibility
6.Recurrence and Transience of Reversible Markov Chains
7.Superpositions of Commuting Markov Chains
8.Perturbations of Random Walks
9.Notes and References
CHAPTER Ⅲ
Spin Systems
1.Couplings for Spin Systems
2.Attractive Spin Systems
3.Attractive Nearest-Neighbor Spin Systems on Z1
4.Duality for Spin Systems
5.Applications of Duality
6.Additive Spin Systems and the Graphical Representation
7.Notes and References
8.Open Problems
CHAPTER Ⅳ
Stochastic Ising Models
1.Gibbs States
2.Reversibility of Stochastic Ising Models
3.Phase Transition
4.L2 Theory
5.Characterization of Invariant Measures
6.Notes and References
7.Open Problems
CHAPTER Ⅴ
The Voter Model
1.Ergodic Theorems
2.Properties of the Invariant Measures
3.Clustering in One Dimension
4.The Finite System
5.Notes and References
CHAPTER Ⅵ
The Contact Process
1.The Critical Value
2.Convergence Theorems
3.Rates of Convergence
4.Higher Dimensions
5.Notes and References
6.Open Problems
CHAPTER Ⅶ
Nearest-Particle Systems
1.Reversible Finite Systems
2.General Finite Systems
3.Construction of Infinite Systems
4.Reversible Infinite Systems
5.General Infinite Systems
6.Notes and References
7.Open Problems
CHAPTER Ⅷ
The Exclusion Process
1.Ergodic Theorems for Symmetric Systems
2.Coupling and Invariant Measures for General Systems
3.Ergodic Theorems for Translation Invariant Systems
4.The Tagged Particle Process
5.Nonequilibrium Behavior
6.Notes and References
7.Open Problems
CHAPTER Ⅸ
Linear Systems with Values in [0, oo)s
1.The Construction; Coupling and Duality
2.Survival and Extinction
3.Survival via Second Moments
4.Extinction in One and Two Dimensions
5.Extinction in Higher Dimensions
6.Examples and Applications
7.Notes and References
8.Open Problems
Bibliography
Index
Postface
Errata
相互作用粒子系统 [Interacting Particle Systems] 电子书 下载 mobi epub pdf txt
相互作用粒子系统 [Interacting Particle Systems]-so88
相互作用粒子系统 [Interacting Particle Systems] pdf epub mobi txt 电子书 下载 2022
图书介绍
☆☆☆☆☆
||
[美] T·M·里戈特(Thomas M.Liggett) 著
出版社: 世界图书出版公司 ISBN:9787510058097 版次:1 商品编码:11310564 包装:平装 外文名称:Interacting Particle Systems 开本:24开 出版时间:2013-03-01 用纸:胶版纸 页数:496 正文语种:英文
内容简介
My intention is that this book serve as a reference work on interacting particle systems, and that it be used as the basis for an advanced graduate course on this subject. The book should be of interest not only to mathematicians, but also to workers in related areas such as mathematical physics and mathematical biology. The prerequisites for reading it are solid one-year graduate courses in analysis and probability theory, at the level of Royden (1968) and Chung (1974), respectively. Material which is usually covered in these courses will be used without comment. In addition, a familiarity with a number of other types of stochastic processes will be helpful. However, references will be given when results from specialized parts of probability theory are used. No particular knowledge of statistical mechanics or mathematical biology is assumed. While this is the first book-length treatment of the subject of interacting particle systems, a number of surveys of parts of the field have appeared in recent years. Among these are Spitzer (1974a), Holley (1974a), Sullivan (1975b), Liggett (1977b), Stroock (1978), Griffeath (1979a, 1981), and Durrett (1981). These can serve as useful comolements to the oresent work.内页插图
目录
Frequently Used NotationIntroduction
CHAPTER Ⅰ
The Construction, and Other General Results
1.Markov Processes and Their Semigroups
2.Semigroups and Their Generators
3.The Construction of Generators for Particle Systems
4.Applications of the Construction
5.The Martingale Problem
6.The Martingale Problem for Particle Systems
7.Examples
8.Notes and References
9.Open Problems
CHAPTER Ⅱ
Some Basic Tools
1.Coupling
2.Monotonicity and Positive Correlations
3.Duality
4.Relative Entropy
5.Reversibility
6.Recurrence and Transience of Reversible Markov Chains
7.Superpositions of Commuting Markov Chains
8.Perturbations of Random Walks
9.Notes and References
CHAPTER Ⅲ
Spin Systems
1.Couplings for Spin Systems
2.Attractive Spin Systems
3.Attractive Nearest-Neighbor Spin Systems on Z1
4.Duality for Spin Systems
5.Applications of Duality
6.Additive Spin Systems and the Graphical Representation
7.Notes and References
8.Open Problems
CHAPTER Ⅳ
Stochastic Ising Models
1.Gibbs States
2.Reversibility of Stochastic Ising Models
3.Phase Transition
4.L2 Theory
5.Characterization of Invariant Measures
6.Notes and References
7.Open Problems
CHAPTER Ⅴ
The Voter Model
1.Ergodic Theorems
2.Properties of the Invariant Measures
3.Clustering in One Dimension
4.The Finite System
5.Notes and References
CHAPTER Ⅵ
The Contact Process
1.The Critical Value
2.Convergence Theorems
3.Rates of Convergence
4.Higher Dimensions
5.Notes and References
6.Open Problems
CHAPTER Ⅶ
Nearest-Particle Systems
1.Reversible Finite Systems
2.General Finite Systems
3.Construction of Infinite Systems
4.Reversible Infinite Systems
5.General Infinite Systems
6.Notes and References
7.Open Problems
CHAPTER Ⅷ
The Exclusion Process
1.Ergodic Theorems for Symmetric Systems
2.Coupling and Invariant Measures for General Systems
3.Ergodic Theorems for Translation Invariant Systems
4.The Tagged Particle Process
5.Nonequilibrium Behavior
6.Notes and References
7.Open Problems
CHAPTER Ⅸ
Linear Systems with Values in [0, oo)s
1.The Construction; Coupling and Duality
2.Survival and Extinction
3.Survival via Second Moments
4.Extinction in One and Two Dimensions
5.Extinction in Higher Dimensions
6.Examples and Applications
7.Notes and References
8.Open Problems
Bibliography
Index
Postface
Errata
前言/序言
相互作用粒子系统 [Interacting Particle Systems] 电子书 下载 mobi epub pdf txt
电子书下载地址:
相关电子书推荐:
- 文件名
- {RT}自然界的物质循环-《自然界的物质循环》编写组 世界图书出版公司 978751001
- 女儿青春期,爸妈要处理好的100件事(超值版)
- 探寻雾霾之谜的重大发现: 雾霾战争,如何打赢? 金辉
- 阳光法性教育(第2版)
- 正版 经典游戏丛书:让孩子爱上科学的88X3经典游戏
- 专业假发设计实用教程
- 古罗马:每天30秒探索恒久文明的50个伟大成就 科普读物 书籍
- 世界上有效的内外兼修美白精华课 9787538544442
- 芝麻大问号?-2-芝麻的科学书
- 读懂青春期孩子的心
- 正版 科学美国人精选系列 专栏作家文集 外星人长得像人吗 怀疑论对科学的揭秘 科普读物
- 哈佛给孩子的400个思维游戏 玩出孩子高智商
- {RT}青少年水域安全教育读本-王斌 湖北科学技术出版社 9787535291974
- 包邮 正面管教修订版+如何培养孩子的社会能力1-2 共3册畅销科学家教育儿家庭教育书TW
- 别逗了费曼先生 RP费曼