P. Varandas

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

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 contains a hyperbol...