Introducing symplectic billiards

Peter Albers; Serge Tabachnikov

doi:10.1016/j.aim.2018.05.037

Introducing symplectic billiards

Peter Albers, Serge Tabachnikov

Research output: Contribution to journal › Article › peer-review

14 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 language	English (US)
Pages (from-to)	822-867
Number of pages	46
Journal	Advances in Mathematics
Volume	333
DOIs	https://doi.org/10.1016/j.aim.2018.05.037
State	Published - Jul 31 2018

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1016/j.aim.2018.05.037

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title = "Introducing symplectic billiards",

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.",

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AB - 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.

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JO - Advances in Mathematics

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Introducing symplectic billiards

Abstract

All Science Journal Classification (ASJC) codes

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