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On Hausdorff dimension of some Cantor attractors. (English) Zbl 1147.37332

Summary: We study what happens with the dimension of Feigenbaum-like attractors of smooth unimodal maps as the order of the critical point grows.

MSC:

37E05 Dynamical systems involving maps of the interval
37E20 Universality and renormalization of dynamical systems
28A80 Fractals
37C45 Dimension theory of smooth dynamical systems
37C70 Attractors and repellers of smooth dynamical systems and their topological structure

References:

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