2023•arXiv (Cornell University)Open access

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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What this paper is about

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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Available 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.

Key concepts: Dynamical billiards, Lyapunov exponent, Differentiable function, Exponent, Mathematics, Planar, Plane (geometry), Mathematical analysis

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