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The Collet–Eckmann condition for rational functions on the Riemann sphere

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Abstract

We show that the set of Collet–Eckmann maps has positive Lebesgue measure in the space of rational maps on the Riemann sphere for any fixed degree d ≥ 2.

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  1. Department of Mathematics, Uppsala University, Box 480, 75106, Uppsala, Sweden

    Magnus Aspenberg

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  1. Magnus Aspenberg
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Correspondence to Magnus Aspenberg.

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Aspenberg, M. The Collet–Eckmann condition for rational functions on the Riemann sphere. Math. Z. 273, 935–980 (2013). https://doi.org/10.1007/s00209-012-1039-3

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  • DOI: https://doi.org/10.1007/s00209-012-1039-3

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