Integrable Billiards and Related Topics | Sciact - Система учета научной деятельности ИМ СО РАН

Integrable Billiards and Related Topics Научная публикация

Конференция

International Congress of Mathematicians 2026
23-30 июл. 2026 , New York City

Сборник

Proceedings of the International Congress of Mathematicians 2026. Invited Lectures (Sections 9–11)
Сборник, 2026.

Вых. Данные

Год: 2026, Том: 5, Страницы: 42-58 Страниц : 17 DOI: 10.1137/25m1804078

Ключевые слова

integrable billiards, Birkhoff--Poritsky conjecture, monotone twist maps, invariant curves

Авторы

Bialy Misha ¹ , Mironov Andrey E. ^2,3

Организации

1	School of Mathematical Sciences, Tel Aviv University, Israel
2	Sobolev Institute of Mathematics and Novosibirsk State University, Russia
3	Sobolev Institute of Mathematics

Информация о финансировании (1)

Министерство науки и высшего образования РФ

FWNF-2026-0026

This paper surveys our results on integrable billiards. We consider various models of billiards,including Birkhoff, outer, magnetic, and Minkowski billiards. Also, we discuss wire billiards and billiards incones. For four models of convex plane billiards, we also discuss an isoperimetric-type inequality for the Mather\beta -function. We conclude with a section of open questions on this subject.

Bialy M. , Mironov A.E.
Integrable Billiards and Related Topics
В сборнике Proceedings of the International Congress of Mathematicians 2026. Invited Lectures (Sections 9–11). 2026. – Т.5. – C.42-58. DOI: 10.1137/25m1804078 OpenAlex

≡ OpenAlex:

W4414969852