Work

Ivrii's conjecture for some cases in outer and symplectic billiards

Year: 2024

Type: article

Abstract: We give a proof for $ (2n + 1, n) $ and $ (2n, n-1) $-periodic Ivrii's conjecture for planar outer billiards. We also give new simple geometric proofs for the 3 and 4-periodic cases for outer and symplectic billiards, and generalize for higher dimensions in case of symplectic billiards.

Source: Discrete and Continuous Dynamical Systems

DOI: 10.3934/dcds.2024117

Author: Anastasiia Sharipova

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: National Science Foundation, Deutsche Forschungsgemeinschaft

Awards: G242263537, Topics in Kinematics and Geometrical Optics: Tire Track Geometry and Billiard Models, TRR 191: Symplektische Strukturen in Geometrie, Algebra und Dynamik, G8615234819

OpenAlex ID: W4402309850

FWCI:

Cites: 16

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Related to: 10