Introducing symplectic billiards

Peter Albers, Serge Tabachnikov

Research output: Contribution to journalArticle

2 Scopus citations

Abstract

In this article we introduce a simple dynamical system called symplectic billiards. As opposed to usual/Birkhoff billiards, where length is the generating function, for symplectic billiards symplectic area is the generating function. We explore basic properties and exhibit several similarities, but also differences of symplectic billiards to Birkhoff billiards.

Original languageEnglish (US)
Pages (from-to)822-867
Number of pages46
JournalAdvances in Mathematics
Volume333
DOIs
StatePublished - Jul 31 2018

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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