Chaotic Billiards

By Nikolai Chernov and Roberto Markarian

This book covers one of the most exciting but most difficult topics in the modern theory of dynamical systems: chaotic billiards. In physics, billiard models describe various mechanical processes, molecular dynamics, and optical phenomena. The theory of chaotic billiards has made remarkable progress in the past thirty-five years, but it remains notoriously difficult for the beginner, with main results scattered in hardly accessible research articles. This is the 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. Hundreds of carefully designed exercises allow the reader not only to become familiar with chaotic billiards but to master the subject. The book addresses graduate students and young researchers in physics and mathematics.

• Format: Hardcover
• Language: English
• ISBN: 0821840967
• ISBN13: 9780821840962
• Release Date: July 2006
• Publisher: Amer Mathematical Society
• Length: 316 Pages
• Weight: 1.62 lbs.
• Dimensions: 10.3" x 0.8" x 7.3"