关于伯克霍夫台球的可积性

On the integrability of Birkhoff billiards.

作者信息

Kaloshin Vadim, Sorrentino Alfonso

机构信息

Department of Mathematics, University of Maryland, College Park, MD, USA

Dipartimento di Matematica, Università degli Studi di Roma 'Tor Vergata', Rome, Italy.

出版信息

Philos Trans A Math Phys Eng Sci. 2018 Sep 17;376(2131):20170419. doi: 10.1098/rsta.2017.0419.

DOI:10.1098/rsta.2017.0419

PMID:30224423

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'.

摘要

在本次综述中，我们对凸台球给出了简要介绍，并描述了作者及其合作者在可积台球分类方面取得的一些最新成果，即所谓的伯克霍夫猜想。本文是主题为“有限维可积系统：新趋势与方法”特刊的一部分。