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math.DS2022
Projective Integrable Mechanical Billiards
Airi Takeuchi, Lei Zhao
In this paper, we use the projective dynamical approach to integrable mechanical billiards as in [Zhao, 2021] to establish the integrability of natural mechanical billiards with th…
math.DS2021★ 2 cited
Conformal Transformations and Integrable Mechanical Billiards
Airi Takeuchi, Lei Zhao
In this article we explain that several integrable mechanical billiards in the plane are connected via conformal transformations. We first remark that the free billiard in the plan…