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arXiv:2301.01910 [math.DS]AbstractReferencesReviewsResources

Differentiability of the largest Lyapunov exponent for planar open billiards

Amal Al Dowais

Published 2023-01-05Version 1

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.

Comments: 18 pages
Categories: math.DS
Subjects: 37D50, 37B10, 37D20, 34D08
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