Billiard Dynamics: An Updated Survey with the Emphasis on Open Problems
Abstract
This is an updated and expanded version of our earlier survey article Gut5. Section 1 introduces the subject matter. Sections 2 - 4 expose the basic material following the paradigm of elliptic, hyperbolic and parabolic billiard dynamics. In section 5 we report on the recent work pertaining to the problems and conjectures exposed in the survey Gut5. Besides, in section 5 we formulate a few additional problems and conjectures. The bibliography has been updated and considerably expanded.
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