Angular billiard and algebraic Birkhoff conjecture

Misha Bialy, Andrey E. Mironov

Research output: Contribution to journalArticlepeer-review

17 Citations (Scopus)

Abstract

In this paper we introduce a new dynamical system which we call Angular billiard. It acts on the exterior points of a convex curve in Euclidean plane. In a neighborhood of the boundary curve this system turns out to be dual to the Birkhoff billiard. Using this system we get new results on algebraic Birkhoff conjecture on integrable billiards.

Original languageEnglish
Pages (from-to)102-126
Number of pages25
JournalAdvances in Mathematics
Volume313
DOIs
Publication statusPublished - 20 Jun 2017

Keywords

  • Birkhoff billiards
  • Birkhoff conjecture
  • Polynomial integrals

Fingerprint Dive into the research topics of 'Angular billiard and algebraic Birkhoff conjecture'. Together they form a unique fingerprint.

Cite this