Prefer a chat interface with context about you and your work?
Hausdorff dimension for horseshoes
Abstract We shall measure how thick a basic set of a C 1 axiom A diffeomorphism of a surface is by the Hausdorff dimension of its intersection with an unstable manifold. This depends continuously on the diffeomorphism. Generically a C 2 diffeomorphism has attractors whose Hausdorff dimension is not approximated …