منابع مشابه
On nonconvex caustics of convex billiards
Oliver Knill July 29, 1996 Abstract There are billiard tables of constant width, for which the billiard map has invariant curves in the phase space which belong to continuous but nowhere di erentiable caustics. We apply this to construct ruled surfaces which have a nowhere di erentiable lines of striction. We use it also to get Riemannian metrics on the sphere such that the caustic belonging at...
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متن کاملOuter Billiards on Kites by
1 Preface Outer billiards is a basic dynamical system defined relative to a convex shape in the plane. B.H. Neumann introduced outer billiards in the 1950s, and J. Moser popularized outer billiards in the 1970s as a toy model for celestial mechanics. Outer billiards is an appealing dynamical system because of its simplicity and also because of its connection to such topics as interval exchange ...
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 1995
ISSN: 0010-3616,1432-0916
DOI: 10.1007/bf02100183