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arxiv: 0904.0061 · v1 · submitted 2009-04-01 · 🧮 math.DS · math.CV

Hedgehogs of Hausdorff dimension one

classification 🧮 math.DS math.CV
keywords dimensionhausdorffhedgehogsmapscommoncommutingconstructconstruction
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We present a construction of hedgehogs for holomorphic maps with an indifferent fixed point. We construct, for a family of commuting non-linearisable maps, a common hedgehog of Hausdorff dimension 1, the minimum possible.

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