On the integrability of Birkhoff billiards | Zendy

Vadim Kaloshin | Zendy; Alfonso Sorrentino | Zendy

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On the integrability of Birkhoff billiards

Author(s) -

Vadim Kaloshin,

Alfonso Sorrentino

Publication year - 2018

Publication title -

philosophical transactions of the royal society a mathematical physical and engineering sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.074

H-Index - 169

eISSN - 1471-2962

pISSN - 1364-503X

DOI - 10.1098/rsta.2017.0419

Subject(s) - integrable system , conjecture , theme (computing) , regular polygon , pure mathematics , mathematics , algebra over a field , theoretical physics , computer science , physics , geometry , operating system

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'.

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