| 摘要 | 第7-8页 |
| Abstract | 第8页 |
| Preface | 第9-17页 |
| Chapter 1 Preliminaries | 第17-24页 |
| 1.1 Ergodic theory | 第17-20页 |
| 1.2 Topological entropy,topological pressure and variational principle | 第20-23页 |
| 1.3 Factor map | 第23-24页 |
| Chapter 2 Induced topological pressure for topological dynamical systems | 第24-36页 |
| 2.1 The notion of the induced topological pressure and main result | 第24-25页 |
| 2.2 An equivalent definition | 第25-26页 |
| 2.3 The proof of Theorem 2.1.1 | 第26-32页 |
| 2.4 A special case(BS dimension) | 第32-33页 |
| 2.5 Equilibrium measures and Gibbs measures | 第33-36页 |
| Chapter 3 Induced topological pressure and the zero-dimensional exten-sion for BS dimensions | 第36-46页 |
| 3.1 Some preliminary notions and main result | 第36-38页 |
| 3.2 Some lemmas | 第38页 |
| 3.3 The proof of Theorem 3.1.1 | 第38-43页 |
| 3.4 An application | 第43-46页 |
| Chapter 4 Katok formula for the induced measure-theoretic entropy | 第46-52页 |
| 4.1 The notion of the induced measure-theoretic entropy and main result | 第46-47页 |
| 4.2 Some lemmas | 第47页 |
| 4.3 The proof of Theorem 4.1.1 | 第47-51页 |
| 4.4 An example | 第51-52页 |
| Chapter 5 Induced Gurevich pressure of almost-additive potentials for count-able state Markov shifts | 第52-64页 |
| 5.1 Definitions and main result | 第52-54页 |
| 5.2 The proof of Theorem 5.1.1 | 第54-64页 |
| Bibliography | 第64-68页 |
| Further researches | 第68-69页 |
| Publications and Finished Papers | 第69-70页 |
| Acknowledgements | 第70页 |
