A. Sharipova

most citedConvex bodies with all characteristics planar

2 citations · 2 across the 2 of their papers we have counts for

collaborators

2 papers

math.DS2024

Ivrii's conjecture for some cases in outer and symplectic billiards

Anastasiia Sharipova

We give a proof for $(2 n + 1, n)$ and $(2 n, n - 1)$ -periodic Ivrii's conjecture for planar outer billiards. We also give new simple geometric proofs for the 3 and 4-periodic cases for…

math.SG2022★ 2 cited

Convex bodies with all characteristics planar

Roman Karasev, Anastasiia Sharipova

We show that smooth and strongly convex bodies in the symplectic $R^{2 n}$ for $n > 1$ with all characteristics planar, or all outer billiard trajectories planar are affine sy…