Chaotic Billiards - Nikolai Chernov, Roberto Markarian (2006)
ISBN 0821840967
Subject Billiards; Chaotic behavior in systems; Dynamics; Ergodic theory; Measure theory; Probabilities
Publisher American Mathematical Society
Publication Date 7/26/2006
Format Hardcover (259 x 180 mm)
Language eng
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. Prerequisites include standard graduate courses in measure theory, probability, Riemannian geometry, topology, and complex analysis. Some of this material is summarized in the appendices to the book.

Personal Details
Collection Status In Collection
Index 1261
Read It Yes
Links Amazon US
Product Details
LoC Classification QA851 .C44 2006
Dewey 003/.857
Cover Price $85.00
No. of Pages 316