Topics from one-dimensional dynamics
著者
書誌事項
Topics from one-dimensional dynamics
（London Mathematical Society student texts, 62）
Cambridge University Press, 2004
- : hbk
- : pbk
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注記
Includes bibliographical references (p. 279-291) and index
内容説明・目次
内容説明
One-dimensional dynamics owns many deep results and avenues of active mathematical research. Numerous inroads to this research exist for the advanced undergraduate or beginning graduate student. This book provides glimpses into one-dimensional dynamics with the hope that the results presented illuminate the beauty and excitement of the field. Much of this material is covered nowhere else in textbook format, some are mini new research topics in themselves, and novel connections are drawn with other research areas both inside and outside the text. The material presented here is not meant to be approached in a linear fashion. Readers are encouraged to pick and choose favourite topics. Anyone with an interest in dynamics, novice or expert alike, will find much of interest within.
目次
- 1. Topological roots
- 2. Measure theoretic roots
- 3. Symbolic and topological dynamics
- 4. Beginning measurable dynamics
- 5. 2 Map
- 6. Kneading maps
- 7. Some number theory
- 8. Circle maps
- 9. Topological entropy
- 10. Symmetric tent maps
- 11. Adding machines and maps
- 12. Beta-transformations and maps
- 13. Homeomorphic restrictions
- 14. Complex quadratic dynamics.
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