arXiv subjects

Anastasiia Sharipova

Publications and source records attributed to Anastasiia Sharipova.

2 recordsLinked to original sources

arXiv2024

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

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

math.DS↗

arXiv2023

Convex bodies with all characteristics planar

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

math.SG↗