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arXiv:2203.15131 [math.DS]AbstractReferencesReviewsResources

A dynamical approach to validated numerics

Oliver Jenkinson, Mark Pollicott

Published 2022-03-28Version 1

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

Comments: 32 pages
Categories: math.DS
Subjects: 11K55, 37F35, 37D35
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