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Angular billiard and algebraic Birkhoff conjecture. / Bialy, Misha; Mironov, Andrey E.

In: Advances in Mathematics, Vol. 313, 20.06.2017, p. 102-126.

Research output: Contribution to journal › Article › peer-review

Harvard

Bialy, M & Mironov, AE 2017, 'Angular billiard and algebraic Birkhoff conjecture', Advances in Mathematics, vol. 313, pp. 102-126. https://doi.org/10.1016/j.aim.2017.04.001

APA

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

Vancouver

Bialy M, Mironov AE. Angular billiard and algebraic Birkhoff conjecture. Advances in Mathematics. 2017 Jun 20;313:102-126. doi: 10.1016/j.aim.2017.04.001

Author

Bialy, Misha ; Mironov, Andrey E. / Angular billiard and algebraic Birkhoff conjecture. In: Advances in Mathematics. 2017 ; Vol. 313. pp. 102-126.

BibTeX

@article{50bb5c7e3ec649ae87bbfdb777a4bb95,
title = "Angular billiard and algebraic Birkhoff conjecture",
abstract = "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.",
keywords = "Birkhoff billiards, Birkhoff conjecture, Polynomial integrals",
author = "Misha Bialy and Mironov, {Andrey E.}",
year = "2017",
month = jun,
day = "20",
doi = "10.1016/j.aim.2017.04.001",
language = "English",
volume = "313",
pages = "102--126",
journal = "Advances in Mathematics",
issn = "0001-8708",
publisher = "Academic Press Inc.",

}

RIS

TY - JOUR

T1 - Angular billiard and algebraic Birkhoff conjecture

AU - Bialy, Misha

AU - Mironov, Andrey E.

PY - 2017/6/20

Y1 - 2017/6/20

N2 - 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.

AB - 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.

KW - Birkhoff billiards

KW - Birkhoff conjecture

KW - Polynomial integrals

UR - http://www.scopus.com/inward/record.url?scp=85017474718&partnerID=8YFLogxK

U2 - 10.1016/j.aim.2017.04.001

DO - 10.1016/j.aim.2017.04.001

M3 - Article

AN - SCOPUS:85017474718

VL - 313

SP - 102

EP - 126

JO - Advances in Mathematics

JF - Advances in Mathematics

SN - 0001-8708

ER -

ID: 10263511