Math explained in easy language, plus puzzles, games, quizzes, worksheets and a forum. For K kids, Billiard Tables. Why are you playing billiards. A billiard is a dynamical system in which a particle alternates between motion in a straight line .. the strong ergodicity of the system.) N. Chernov and R. Markarian, "Chaotic Billiards ", , Mathematical survey and monographs nº , AMS. Mathematical Billiards. U A Rozikov. This Letter presents some historical notes and some very elementary notions of the mathemati- cal theory.
This question, as long as the pictures are from Reference 7. Lewis Carroll Charles Dodgson also considered this problem Weaver General results of Dmitry Burago and Serge Ferleger  on the uniform estimation on the number of collisions in non-degenerate semi-dispersing billiards allow to establish finiteness of its topological entropy and no more than exponential growth of periodic trajectories. Once you can get the cue ball to stop dead every time, you have enough control to introduce English to your game. It is precisely this dispersing mechanism that gives dispersing billiards their strongest chaotic properties, as it was established by Yakov G.
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