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arXiv · 2301.01910

Differentiability of the largest Lyapunov exponent for planar open billiards

Amal Al Dowais
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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.

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Amal Al Dowais. 2023-01-05. Differentiability of the largest Lyapunov exponent for planar open billiards. https://doi.org/10.1080/14689367.2023.2221193

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