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math.DS 1

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2024 1

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CONDITIONAL 1

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Existence and Nonexistence of Invariant Curves of Coin Billiards

math.DS · 2024-11-20 · conditional · novelty 8.0

For coin billiards, invariant curves exist for small heights or near-circular coins, vanish near the boundary for tall non-circular coins, and a complete foliation by invariant curves occurs only for circular coins.

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  • Existence and Nonexistence of Invariant Curves of Coin Billiards math.DS · 2024-11-20 · conditional · none · ref 4

    For coin billiards, invariant curves exist for small heights or near-circular coins, vanish near the boundary for tall non-circular coins, and a complete foliation by invariant curves occurs only for circular coins.