Angular billiard and algebraic Birkhoff conjecture

Misha Bialy; Andrey E. Mironov

doi:10.1016/j.aim.2017.04.001

Angular billiard and algebraic Birkhoff conjecture

Misha Bialy, Andrey E. Mironov

Результат исследования: Научные публикации в периодических изданиях › статья

14 Цитирования (Scopus)

Аннотация

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.

Язык оригинала	английский
Страницы (с-по)	102-126
Число страниц	25
Журнал	Advances in Mathematics
Том	313
DOI	https://doi.org/10.1016/j.aim.2017.04.001
Состояние	Опубликовано - 20 июн 2017

Доступ к документу

10.1016/j.aim.2017.04.001

Link to publication in Scopus

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Цитировать

Bialy, M., & Mironov, A. E. (2017). Angular billiard and algebraic Birkhoff conjecture. Advances in Mathematics, 313, 102-126. https://doi.org/10.1016/j.aim.2017.04.001

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