Asymptotic dynamics of the dual billiard transformation

Research output: Contribution to journalArticlepeer-review

10 Scopus citations


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 languageEnglish (US)
Pages (from-to)27-37
Number of pages11
JournalJournal of Statistical Physics
Issue number1-2
StatePublished - Apr 1996

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics


Dive into the research topics of 'Asymptotic dynamics of the dual billiard transformation'. Together they form a unique fingerprint.

Cite this