Description
Book SynopsisThe first and so far only book that covers all the fundamental facts about chaotic billiards in a complete and systematic manner. The book contains all the necessary definitions, full proofs of all the main theorems, and many examples and illustrations that help the reader to understand the material.
Trade ReviewAlthough there are many books covering general mathematical billiards there are no comprehensive introductory texts covering chaotic billiards. The book remedies this deficiency and presents the theory of chaotic billiards in a systematic way."" -
Zentralblatt Math""In contrast to many other works on billiards, this book does not hide any technicalities. It works out all the technical details, to the last epsilon. There are numerous exercises which are well chosen and useful. This way the reader can not only understand billiard theory in an active way, but can also develop the skills needed to address new questions. Thus it is useful not only graduate students, but also for senior mathematicans who would like to start working on billiards. I strongly recommend this book."" -
Mathematical ReviewsTable of Contents
- Simple examples
- Basic constructions
- Lyapunov exponents and hyperbolicity
- Dispersing billiards
- Dynamics of unstable manifolds
- Ergodic properties
- Statistical properties
- Bunimovich billiards
- General focusing chaotic billiards
- Afterword
- Measure theory
- Probability theory
- Ergodic theory
- Bibliography
- Index
