旨在為讀者全新展示隨機過程這門課程。在過去的十五年里這門課程有了更深入研究，文中的材料都是之前沒有以書本的形式出現過的。有關這門科技含量很高的科目，這本高質量的教程使得該科目立刻生動起來，並且盡可能多的包含一些容易理解的開放問題。對於每一位學習隨機課程的學生，此書都不容錯過。

Frequently Used NotationIntroductionCHAPTER ⅠThe Construction, and Other General Results1.Markov Processes and Their Semigroups2.Semigroups and Their Generators3.The Construction of Generators for Particle Systems4.Applications of the Construction5.The Martingale Problem6.The Martingale Problem for Particle Systems7.Examples8.Notes and References9.Open ProblemsCHAPTER ⅡSome Basic Tools1.Coupling2.Monotonicity and Positive Correlations3.Duality4.Relative Entropy5.Reversibility6.Recurrence and Transience of Reversible Markov Chains7.Superpositions of Commuting Markov Chains8.Perturbations of Random Walks9.Notes and ReferencesCHAPTER ⅢSpin Systems1.Couplings for Spin Systems2.Attractive Spin Systems3.Attractive Nearest-Neighbor Spin Systems on Z14.Duality for Spin Systems5.Applications of Duality6.Additive Spin Systems and the Graphical Representation7.Notes and References8.Open ProblemsCHAPTER ⅣStochastic Ising Models1.Gibbs States2.Reversibility of Stochastic Ising Models3.Phase Transition4.L2 Theory5.Characterization of Invariant Measures6.Notes and References7.Open ProblemsCHAPTER ⅤThe Voter Model1.Ergodic Theorems2.Properties of the Invariant Measures3.Clustering in One Dimension4.The Finite System5.Notes and ReferencesCHAPTER ⅥThe Contact Process1.The Critical Value2.Convergence Theorems3.Rates of Convergence4.Higher Dimensions5.Notes and References6.Open ProblemsCHAPTER ⅦNearest-Particle Systems1.Reversible Finite Systems2.General Finite Systems3.Construction of Infinite Systems4.Reversible Infinite Systems5.General Infinite Systems6.Notes and References7.Open ProblemsCHAPTER ⅧThe Exclusion Process1.Ergodic Theorems for Symmetric Systems2.Coupling and Invariant Measures for General Systems3.Ergodic Theorems for Translation Invariant Systems4.The Tagged Particle Process5.Nonequilibrium Behavior6.Notes and References7.Open ProblemsCHAPTER ⅨLinear Systems with Values in [0, oo）s1.The Construction; Coupling and Duality2.Survival and Extinction3.Survival via Second Moments4.Extinction in One and Two Dimensions5.Extinction in Higher Dimensions6.Examples and Applications7.Notes and References8.Open ProblemsBibliographyIndexPostfaceErrata