6 citations · 8 across the 5 of their papers we have counts for
5 papers
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…
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…
An analogue of the Blaschke-Santaló inequality for billiard dynamics
Daniel Tsodikovich
The Blaschke-Santaló inequality is a classical inequality in convex geometry concerning the volume of a convex body and that of its dual. In this work we investigate an analogue of…
Locally maximizing orbits for the non-standard generating function of convex billiards and applications
Misha Bialy, Daniel Tsodikovich
Given an exact symplectic map of a cylinder with a generating function satisfying the so-called negative twist condition, , we study the locally maximizing orbits…
Billiard tables with rotational symmetry
Misha Bialy, Daniel Tsodikovich
We generalize the following simple geometric fact: the only centrally symmetric convex curve of constant width is a circle. Billiard interpretation of the condition of constant wid…