Differentiability of the largest Lyapunov exponent for planar open billiards
arXiv:2301.01910 · doi:10.1080/14689367.2023.2221193
Abstract
In this paper, we estimate the largest Lyapunov exponent for open billiards in the plane. We show that the largest Lyapunov exponent is differentiable with respect to a billiard deformation.
18 pages