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arxiv: 1610.08938 · v1 · pith:RAIJQJASnew · submitted 2016-10-27 · 🧮 math.DS · math.CV

Perturbations d'exemples de Latt\`es et dimension de Hausdorff du lieu de bifurcation

classification 🧮 math.DS math.CV
keywords dimensionbifurcationhausdorfflattmathbbendomorphismsestimateexamples
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We give an estimate for the Hausdorff dimension of the bifurcation locus of a family of endomorphisms of $\mathbb{P}^k (\mathbb{C})$. This dimension is maximal near isolated Latt\`es examples.

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