Exterior Billiards

by Alexander Plakhov

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Description

A billiard is a dynamical system in which a point particle alternates between free motion and specular reflections from the boundary of a domain.  Exterior Billiards presents billiards in the complement of  domains and their applications in aerodynamics and geometrical optics.  This book distinguishes itself from existing literature by presenting billiard dynamics outside bounded domains, including scattering, resistance, invisibility and retro-reflection. It begins with