2 papers
math.DS2026
Rigidity of the Suris' potential in the Frenkel-Kontorova Model
Corentin Fierobe, Daniel Tsodikovich
The goal of this paper is to establish a local rigidity result for the integrability of standard-like maps. The main focus of the paper is the remarkable integrable potential disco…
math.DS2024
Locally Maximizing orbits for multi-dimensional Twist maps and Birkhoff billiards
Misha Bialy, Daniel Tsodikovich
In this work we consider variational properties of exact symplectic twist maps that act on the cotangent bundle of a torus, or on a ball bundle over a sphere. An example of suc…