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Differentiability of the largest Lyapunov exponent for planar open billiards

Dynamical Systems 2023-10-13 v1

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.

Keywords

Cite

@article{arxiv.2301.01910,
  title  = {Differentiability of the largest Lyapunov exponent for planar open billiards},
  author = {Amal Al Dowais},
  journal= {arXiv preprint arXiv:2301.01910},
  year   = {2023}
}

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18 pages