4 citations · 5 across the 5 of their papers we have counts for
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math.DS2023
Star-shaped trajectories of certain billiards around a triangle
Takeo Noda, Shin-ichi Yasutomi, Masamichi Yoshida
We explore the triangle outer billiards map in points at infinity in the hyperbolic plane, focusing on the rotation number. Building on Dogru and Tabachnikov's work, which establis…
math.DS2021
Billiards in a circle with trajectories circumscribing a triangle
Takeo Noda, Shin-ichi Yasutomi
Dogru and Tabachnikov in 2003 explored the polygonal outer billiard map in the hyperbolic plane and introduced a class of convex polygons called 'large'. They particularly sought c…
math.DS2019★ 4 cited
On -dimensional foliated dynamical systems and Hilbert type reciprocity law
Junhyeong Kim, Masanori Morishita, Takeo Noda +1
We show some fundamental results concerning -dimensional foliated dynamical systems (FDS for short) introduced by Deninger. Firstly, we give a decomposition theorem for an F…