Introducing projective billiards

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Abstract

We introduce and study a new class of dynamical systems, the projective billiards, associated with a smooth closed convex plane curve equipped with a smooth field of transverse directions. Projective billiards include the usual billiards along with the dual, or outer, billiards.

Original languageEnglish (US)
Pages (from-to)957-976
Number of pages20
JournalErgodic Theory and Dynamical Systems
Volume17
Issue number4
DOIs
StatePublished - Aug 1997

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

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