By Nikolai Chernov
This booklet covers the most fascinating yet so much tricky issues within the glossy concept of dynamical platforms: chaotic billiards. In physics, billiard versions describe a number of mechanical techniques, molecular dynamics, and optical phenomena. the idea of chaotic billiards has made notable growth long ago thirty-five years, however it is still notoriously tough for the newbie, with major effects scattered in rarely obtainable study articles. this can be the 1st and thus far simply publication that covers the entire primary evidence approximately chaotic billiards in a whole and systematic demeanour. The ebook includes all of the valuable definitions, complete proofs of all of the major theorems, and plenty of examples and illustrations that aid the reader to appreciate the fabric. thousands of conscientiously designed workouts let the reader not just to familiarize yourself with chaotic billiards yet to grasp the subject.The booklet addresses graduate scholars and younger researchers in physics and arithmetic. must haves comprise typical graduate classes in degree thought, likelihood, Riemannian geometry, topology, and intricate research. a few of this fabric is summarized within the appendices to the publication
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Chaotic billiards by Nikolai Chernov