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arXiv · 2203.15131

A dynamical approach to validated numerics

Oliver Jenkinson·Mark Pollicott
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Abstract

We describe a method, using periodic points and determinants, for giving alternative expressions for dynamical quantities (including Lyapunov exponents and Hausdorff dimension of invariant sets) associated to analytic hyperbolic systems. This leads to validated numerical estimates on their values

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Oliver Jenkinson, Mark Pollicott. 2022-03-28. A dynamical approach to validated numerics. https://arxiv.org/abs/2203.15131

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