Shortest closed billiard trajectories in the plane and equality cases in Mahler’s conjecture-Reference-Cited by-同舟云学术

Shortest closed billiard trajectories in the plane and equality cases in Mahler’s conjecture

Published:2016-04-06 Issue:1 Volume:184 Page:121-134
ISSN:0046-5755
Container-title:Geometriae Dedicata
language:en
Short-container-title:Geom Dedicata

Author:

Balitskiy Alexey^ORCID

Funder

Russian Foundation for Basic Research (RU)

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology

Link

http://link.springer.com/content/pdf/10.1007/s10711-016-0160-6.pdf

Reference12 articles.

1. Akopyan, A., Balitskiy, A., Karasev, R., Sharipova, A.: Elementary approach to closed billiard trajectories in asymmetric normed spaces. arXiv:1401.0442 (2014)

2. Akopyan, A., Karasev, R., Petrov, F.: Bang’s problem and symplectic invariants. arXiv preprint arXiv:1404.0871 (2014)

3. Artstein-Avidan, S., Ostrover, Y.: Bounds for Minkowski billiard trajectories in convex bodies. Int. Math. Res. Not. (IMRN). arXiv:1111.2353v3 (2012)

4. Artstein-Avidan, S., Karasev, R., Ostrover, Y.: From symplectic measurements to the Mahler conjecture. Duke Math. J. 163(11), 2003–2022 (2014). arXiv:1303.4197

5. Bezdek, D., Bezdek, K.: Shortest billiard trajectories. Geom. Dedicata 141(1), 197–206 (2009)

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. An analogue of the Blaschke–Santaló inequality for billiard dynamics;Israel Journal of Mathematics;2024-08-04

2. Convex Bodies With All Characteristics Planar;International Mathematics Research Notices;2023-06-05

3. Visual aided training of billiards based on depth estimation;2022 IEEE Conference on Telecommunications, Optics and Computer Science (TOCS);2022-12-11

4. Mahler’s conjecture for some hyperplane sections;Israel Journal of Mathematics;2021-03

5. Equality Cases in Viterbo’s Conjecture and Isoperimetric Billiard Inequalities;International Mathematics Research Notices;2018-04-19