Asymptotic dynamics of the dual billiard transformation

Serge Tabachnikov

doi:10.1007/BF02183638

Asymptotic dynamics of the dual billiard transformation

Serge Tabachnikov

Research output: Contribution to journal › Article

10 Scopus citations

Abstract

Given a strictly convex plane curve, the dual billiard transformation is the transformation of its exterior defined as follows: given a point x outside the curve, draw a support line to it from the point and reflect x at the support point. We show that the dual billiard transformation far from the curve is well approximated by the time 1 transformation of a Hamiltonian flow associated with the curve.

Original language	English (US)
Pages (from-to)	27-37
Number of pages	11
Journal	Journal of Statistical Physics
Volume	83
Issue number	1-2
DOIs	https://doi.org/10.1007/BF02183638
State	Published - Apr 1996

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/BF02183638

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Tabachnikov, S. (1996). Asymptotic dynamics of the dual billiard transformation. Journal of Statistical Physics, 83(1-2), 27-37. https://doi.org/10.1007/BF02183638

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