论文信息 - Dual Billiards

Dual Billiards

Introduction 81 § 1. Bisecting property 82 § 2. Generating function and periodic points 82 § 3. Several modifications of the dual billiard map 83 § 4. Duality between billiards and dual billiards 84 § 5. A theorem of Poncelet and dual billiards 84 § 6. Integrability 86 § 7. Affine parametrization and explicit formulae 87 § 8. Area spectrum 87 § 9. Invariant curves 89 §10. Dual billiard map at infinity 90 §11. Polygonal dual billiards 92 §12. Affine regular pentagon 93 §13. Higher dimensional dual billiards 96 References 109

S. Tabachnikov | F. Doǧru

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