@article{8419,
  abstract     = {In this survey, we provide a concise introduction to convex billiards and describe some recent results, obtained by the authors and collaborators, on the classification of integrable billiards, namely the so-called Birkhoff conjecture.

This article is part of the theme issue ‘Finite dimensional integrable systems: new trends and methods’.},
  author       = {Kaloshin, Vadim and Sorrentino, Alfonso},
  issn         = {1364-503X},
  journal      = {Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences},
  keywords     = {General Engineering, General Physics and Astronomy, General Mathematics},
  number       = {2131},
  publisher    = {The Royal Society},
  title        = {{On the integrability of Birkhoff billiards}},
  doi          = {10.1098/rsta.2017.0419},
  volume       = {376},
  year         = {2018},
}