On polynomially integrable planar outer billiards and curves with symmetry property

Alexey Glutsyuk; E Shustin

doi:10.1007/s00208-018-1726-4

Journal Articles Mathematische Annalen Year : 2018

On polynomially integrable planar outer billiards and curves with symmetry property

(1) , (2)

1
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Alexey Glutsyuk

Function : Author
PersonId : 10670
IdHAL : aglutsyu
ORCID : 0000-0002-6432-2725
IdRef : 169156044

Unité de Mathématiques Pures et Appliquées

E Shustin

Function : Author

School of Mathematical Sciences [Tel Aviv]

Abstract

We show that every polynomially integrable planar outer convex billiard is elliptic.

Domains

Dynamical Systems [math.DS]

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int-tab-compl13.pdf (346.41 Ko)

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https://ens-lyon.hal.science/ensl-01413589

Submitted on : Monday, December 24, 2018-11:11:30 AM

Last modification on : Friday, May 3, 2024-11:04:15 AM

Long-term archiving on : Monday, March 25, 2019-12:53:18 PM

Dates and versions

ensl-01413589 , version 1 (10-12-2016)

ensl-01413589 , version 2 (24-12-2018)

Identifiers

HAL Id : ensl-01413589 , version 2
ARXIV : 1607.07593
DOI : 10.1007/s00208-018-1726-4

Cite

Alexey Glutsyuk, E Shustin. On polynomially integrable planar outer billiards and curves with symmetry property. Mathematische Annalen, 2018, 372, pp.1481--1501. ⟨10.1007/s00208-018-1726-4⟩. ⟨ensl-01413589v2⟩

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On polynomially integrable planar outer billiards and curves with symmetry property

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