A billiard is a dynamical system in which a point particle
alternates between free motion and specular reflections fromthe
boundaryof 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 an overview of the mathematical notations used
throughout the book and a brief review of the main results.
Chapters 2 and 3 are focused on problems of minimal resistance and
Newton s problem in media with positive temperature. In chapters 4
and 5, scattering of billiards bynonconvex and rough domains is
characterized and some related special problems of optimal mass
transportation are studied. Applications in aerodynamics are
addressed next and problems of invisibility and retro-reflection
within the framework of geometric optics conclude the text.
The book will appeal to mathematicians working in dynamical
systems and calculus of variations. Specialists working in the
areas of applications discussed will also find it useful."
General
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