On the Continuity of Fractal Dimensions of Horseshoes on Dimenson 3
Carlos Gustavo Moreira
IMPA
Abstract:
We show that, for typical horseshoes in dimension 3, the Hausdorff dimensions
of its stable and unstable Cantor sets, and of the whole horseshoe are
continuous with respect to the dynamics. This is a joint work with Waliston Silva.
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