全书分两部分内容：（一）讨论概率空间变换理论的测度论内容，包括递归性质、混合性质、Birkhoff遍历性定理、同构性和谱性质、熵理论等；（二）讨论紧致可测空间中的连续变换的遍历性理论。 目次：测度保形变换; 同构、共轭、谱同构；具有离散谱的测度变换；熵；拓扑动态学；连续变换的不变测度；拓扑熵及其与测度理论熵的关系；拓扑压缩及其不变测度的关系；有关应用及其他课题。 读者对象：概率论及相关专业的研究生及数学工作者。

Chapter 0 Preliminaries 
　0.1 Introdu*ion 
　0.2 Measure Spaces 
　0.3 Integr*ion 
　0.4 Absolutely Continuous Measures and Conditional Expe**ions 
　0.5 Fun*ion Spaces 
　0.6 Haar Measure 
　0.7 Chara*er Theory 
　0.8 Endomorphisms of Tori 
　0.9 Perron-Frobenius Theory 
　0.10 Topology 
Chapter 1 Measure-Preserving Transfor*tions 
　1.1 Definition and Examples 
　1.2 Problems in Ergodic Theory 
　1.3 Associ*ed Isometries 
　1.4 Recurrence 
　1.5 Ergodicity 
　1.6 The Ergodic Theorem 
　1.7 Ming 
Chapter 2 Isomorphism, Con*ugacy, and Spe*ral Isomorphism 
　2.1 Point Maps and Set Maps 
　2.2 Isomorphism of Measure-Preserving Transfor*tions 
　2.3 Con*ugacy of Measure-preserving Transformhtions 
　2.4 The Isomorphism Problem 
　2.5 Spe*ral Isomorphism 
　2.6 Spe*ral Invariants 
Chapter 3 Measure-Preserving Transfor*tions with Discrete Spe*rum 
　3.1 Eigenvalues and Eigenfun*ions 
　3.2 Discrete Spe*rum 
　3.3 Group Rot*ions 
Chapter 4 Entropy 
　4.1 Partitions and Subalgebras 
　4.2 Entropy of a Partition 
　4.3 Conditional Entropy 
　4.4 Entropy of a Measure-Preserving Transfor*tion 
　4.5 Properties orb T,A and h T 
　4.6 Some Methods for Calcul*ing h T 
　4.7 Examples 
　4.8 How Good an Invariant is Entropy 
　4.9 Bernoulli Automorphisms and Kolmogorov Automorphisms 
　4.10 The Pinsker -Algebra of a Measure-Preserving Transfor*tion 
　4.11 Sequence Entropy 
　4.12 Non-invertible Transfor*tions 
　4.13 Comments 
Chapter 5 Topological Dynamics 
　5.1 Examples 
　5.2 Mini*lity 
　5.3 The Non-wandering Set 
　5.4 Topological Transitivity 
　5.5 Topological Con*ugacy and Discrete Spe*rum 
　5.6 Expansive Homeomorphisms 
Chapter 6 Invariant Measures for Continuous Transfor*tions 
　6.1 Measures on Metric Spaces 
　6.2 Invariant Measures for Continuous Transfor*tions 
　6.3 Interpret*ion of Ergodicity and Ming 
　6.4 Rel*ion of Invariant Measures to Non-wandering Sets, Periodic Points and Topological Transitivity 
6.5 Unique Ergodicity 
6.6 Examples 
Chapter 7 Topological Entropy 
　7.1 Definition Using Open Cove* 
　7.2 Bowen's Definition 
　7.3 Calcul*ion of Topological Entropy 
Chapter 8 Rel*ionship Between Topological Entropy and Measure-Theoretic Entropy 
　8.1 The Entropy Map 
　8.2 The Vari*ional Principle 
　8.3 Measures with Ma*l Entropy 
　8.4 Entropy of Affine Transfor*tions 
　8.5 The Distribution of Periodic Points 
　8.6 Definition of Measure-Theoretic Entropy Using the Metrics dn 
Chapter 9 Topological Pressure and Its Rel*ionship with Invariant Measures 
　9.1 Topological Pressure 
　9.2 Properties of Pressure 
　9.3 The Vari*ional Principle 
　9.4 Pressure Determines M X, T 
　9.5 Equilibrium St*es 
Chapter 10 Applic*ions and Other Topics 
　10.1 The Qualit*ive Behaviour of Diffeomorphisms 
　10.2 The Subadditive Ergodic Theorem and the Multiplic*ive Ergodic Theorem 
　10.3 Quasi-invariant Measures 
　10.4 Other Types of Isomorphism 
　10.5 Transfor*tions of Intervals 
　10.6 Further Reading 
References 
Index