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Hausdorff Dimension and Flexibility for Attractors of Non-Uniformly Hyperbolic Flows

Rego, Elias et al.
arXiv (All) · Papers
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dynamical-systems
We study the Hausdorff dimension of attracting sets of three-dimensional flows whose one-dimensional quotient dynamics is non-uniformly expanding. Our main assumption is that the quotient map admits a full-branch uniformly expanding Gibbs--Markov induced map. We first prove that every such attractor
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