2 citations · 2 across the 3 of their papers we have counts for
3 papers
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.OA2021
On the magic square C*-algebra of size 4
Takeshi Katsura, Masahito Ogawa, Airi Takeuchi
In this paper, we investigate the structure of the magic square C*-algebra of size 4. We show that a certain twisted crossed product of is isomorphic to the homogeneo…
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…